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	<title>scalable quantum technologies &#8211; Science</title>
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	<title>scalable quantum technologies &#8211; Science</title>
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		<title>Physicists Unveil Innovative Protocol for Constructing Photonic Graph States</title>
		<link>https://scienmag.com/physicists-unveil-innovative-protocol-for-constructing-photonic-graph-states/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Fri, 13 Feb 2026 00:20:27 +0000</pubDate>
				<category><![CDATA[Chemistry]]></category>
		<category><![CDATA[emit-then-add protocol]]></category>
		<category><![CDATA[entangled photonic states generation]]></category>
		<category><![CDATA[multi-photon states]]></category>
		<category><![CDATA[photon losses in optical platforms]]></category>
		<category><![CDATA[photonic graph states]]></category>
		<category><![CDATA[precision quantum sensing]]></category>
		<category><![CDATA[Quantum Computing Applications]]></category>
		<category><![CDATA[Quantum Entanglement]]></category>
		<category><![CDATA[Quantum information science]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<category><![CDATA[secure quantum communication]]></category>
		<category><![CDATA[University of Illinois Urbana-Champaign research]]></category>
		<guid isPermaLink="false">https://scienmag.com/physicists-unveil-innovative-protocol-for-constructing-photonic-graph-states/</guid>

					<description><![CDATA[In the rapidly advancing realm of quantum information science, the generation of entangled photonic states stands as a fundamental challenge and opportunity. Researchers at the University of Illinois Urbana-Champaign’s Grainger College of Engineering have recently put forth a pioneering methodology that could dramatically reshape our ability to create highly entangled multi-photon states, which are indispensable [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>In the rapidly advancing realm of quantum information science, the generation of entangled photonic states stands as a fundamental challenge and opportunity. Researchers at the University of Illinois Urbana-Champaign’s Grainger College of Engineering have recently put forth a pioneering methodology that could dramatically reshape our ability to create highly entangled multi-photon states, which are indispensable for next-generation quantum technologies. This breakthrough, detailed in a paper published in <em>npj Quantum Information</em>, introduces an innovative “emit-then-add” protocol that leverages existing photonic quantum emitters, potentially unlocking practical, scalable paths toward complex quantum states previously deemed out of reach.</p>
<p>Photonic graph states are a class of multipartite entangled quantum states whose applications span quantum computing, secure communication, and precision sensing. Despite their recognized utility, producing large-scale graph states of photons has been severely impeded by intrinsic photon losses characteristic of optical platforms. The probabilistic nature of photon emission and subsequent transmission losses result in incomplete or corrupted entanglement structures, a barrier that conventional deterministic methods have struggled to overcome.</p>
<p>The fundamental issue stems from the fact that photon detection, which confirms entanglement, is intrinsically destructive. Attempting to fill missing photon &#8220;slots&#8221; after partial detection collides with the no-cloning principle and quantum measurement postulates, which forbid the non-invasive inspection or replacement of quantum particles without disturbing their delicate quantum states. Overcoming this destructive nature requires a radical rethink of how entangled photonic states are constructed in practice.</p>
<p>Led by Associate Professor Elizabeth Goldschmidt and Professor Eric Chitambar, the Illinois team embraced this paradigm shift. Instead of striving for a perfect, pre-generated entangled state, they proposed embracing the limitations of real-world hardware and harnessing the destructive measurement process itself to their advantage. This mindset heralded the development of the “emit-then-add” technique, wherein photons are added sequentially to a virtual graph state only after their successful heralded detection, ensuring that the graph is constructed from verified, existing photons.</p>
<p>Central to their scheme is the concept of “virtual graph states.” Unlike physical photonic states existing simultaneously in a shared quantum system, virtual graph states exist temporally and are mediated via the long coherence times of spin qubits in quantum emitters. Each photon is emitted, detected, and verified before the next photon is incorporated into the entangled state, dramatically mitigating photon loss impacts. This approach shifts the primary bottleneck from photon loss probabilities—which can be alarmingly high—to the coherence properties of the quantum emitters&#8217; spin qubits, which often maintain coherence over extended durations.</p>
<p>This heralded add-on strategy represents a departure from conventional approaches that require non-destructive, quantum non-demolition measurements—currently beyond state-of-the-art capabilities for photon detection. By embracing destructive measurements and coupling them to virtual graph state construction, the Illinois group charts a more immediately accessible route to functional photonic graph states. Their framework is not only theoretically elegant but promise practical feasibility with existing quantum hardware such as trapped ions and neutral atom emitters, which have historically been handicapped by suboptimal photon collection efficiencies.</p>
<p>Graduate students Max Gold and Jianlong Lin, co-lead authors on the study, provide further insight into the counterintuitive nature of this process. Because the photons do not coexist simultaneously, the emergent multi-photon entanglement is not embodied in a conventional time-synchronized state. Instead, the spin qubit’s coherence &#8220;stitches&#8221; these photons together in a virtual, non-classical state transcending the traditional temporal constraints on quantum correlation. This fundamentally shifts perspectives on how entanglement can be distributed and measured in quantum networks and computational devices.</p>
<p>The researchers have illustrated a compelling potential application of their protocol in secure two-party computation. By repeatedly generating small graph states that are verified before usage, parties can perform computations that leverage quantum correlations with strict security guarantees against adversaries, even under photon loss scenarios. This concrete use case highlights the practical import of their proposal, going beyond the purely theoretical allure of large entangled states.</p>
<p>Measurement-based quantum computing, a leading model in quantum computation architectures, stands to be revolutionized by these heralded graph states. The proposed methodology not only underpins scalable quantum gate implementations but also opens avenues to fault-tolerant error correction and distributed quantum sensing, where entanglement serves as a critical resource enhancing sensitivity beyond classical limits.</p>
<p>Moreover, this work signals a call to the broader quantum information science community to focus on realistic hardware constraints. Often, theoretical proposals assume idealized components unavailable in laboratory settings, creating a disconnect between theory and implementation. Goldschmidt&#8217;s group explicitly addresses this divide by developing a protocol aligned with current emitter technologies and measurement limitations, inspiring optimism for near-term experimental realization.</p>
<p>The Illinois team is emboldened by the wide compatibility of their scheme across various quantum emitter platforms. Their method’s feasibility is underscored particularly for systems with inherently low photon collection efficiencies—a persistent hurdle in quantum optics. Early experimental efforts headed by Jianlong Lin aim to demonstrate this protocol with standard quantum hardware, potentially marking one of few successful practical demonstrations of photonic graph states with bona fide technological applications.</p>
<p>While the experimental endeavors advance, Max Gold continues to explore the theoretical landscape, seeking additional scenarios where heralded photonic graph states could innovate quantum algorithms or communication protocols. Their combined efforts promise a robust pipeline from foundational theory through laboratory validation to potential technological deployment in quantum computing and secure communication infrastructures.</p>
<p>This landmark research encapsulates a shift toward pragmatism in quantum photonics, marrying theoretical innovation with hardware realism. By constructing entangled photonic states constructively and heraldedly, rather than attempting to overcome unavoidable system losses through brute force, the Illinois researchers demonstrate a pathway that could shape the next decade of quantum technology development, making complex photonic entanglement accessible to operational quantum devices worldwide.</p>
<p>Subject of Research: Photonic graph states and quantum emitters for quantum information processing<br />
Article Title: Heralded photonic graph states with inefficient quantum emitters<br />
News Publication Date: 15 January 2026<br />
Web References:</p>
<ul>
<li><a href="https://www.nature.com/articles/s41534-026-01181-7">https://www.nature.com/articles/s41534-026-01181-7</a>  </li>
<li><a href="http://dx.doi.org/10.1038/s41534-026-01181-7">http://dx.doi.org/10.1038/s41534-026-01181-7</a>  </li>
</ul>
<p>References:<br />
Goldschmidt, E., Chitambar, E., Gold, M., Lin, J. (2026). Heralded photonic graph states with inefficient quantum emitters. <em>npj Quantum Information</em>. <a href="https://doi.org/10.1038/s41534-026-01181-7">https://doi.org/10.1038/s41534-026-01181-7</a></p>
<p>Keywords<br />
Quantum information, photonic graph states, quantum entanglement, quantum emitters, heralded photon detection, virtual graph states, measurement-based quantum computing, quantum communication, spin qubits, quantum sensing, trapped ions, neutral atoms.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">136858</post-id>	</item>
		<item>
		<title>Nonlinear Nanophotonics Powers High-Dimensional Quantum States</title>
		<link>https://scienmag.com/nonlinear-nanophotonics-powers-high-dimensional-quantum-states/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Thu, 29 Jan 2026 05:05:22 +0000</pubDate>
				<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[high-dimensional quantum states]]></category>
		<category><![CDATA[information capacity in quantum systems]]></category>
		<category><![CDATA[light-matter coupling in nanostructures]]></category>
		<category><![CDATA[nanoscale optical phenomena]]></category>
		<category><![CDATA[nonlinear interactions in photonics]]></category>
		<category><![CDATA[nonlinear nanophotonics]]></category>
		<category><![CDATA[overcoming decoherence in quantum states]]></category>
		<category><![CDATA[quantum communication advancements]]></category>
		<category><![CDATA[quantum computing technologies]]></category>
		<category><![CDATA[quantum state manipulation techniques]]></category>
		<category><![CDATA[qudits in quantum systems]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<guid isPermaLink="false">https://scienmag.com/nonlinear-nanophotonics-powers-high-dimensional-quantum-states/</guid>

					<description><![CDATA[In a groundbreaking advancement at the intersection of quantum mechanics and photonic engineering, researchers have unveiled a novel approach for manipulating high-dimensional quantum states using nonlinear nanophotonic devices. The work, published recently in Light: Science &#38; Applications, promises to dramatically expand the computational power and information capacity of quantum systems by leveraging intricate nonlinear interactions [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>In a groundbreaking advancement at the intersection of quantum mechanics and photonic engineering, researchers have unveiled a novel approach for manipulating high-dimensional quantum states using nonlinear nanophotonic devices. The work, published recently in <em>Light: Science &amp; Applications</em>, promises to dramatically expand the computational power and information capacity of quantum systems by leveraging intricate nonlinear interactions within nanoengineered photonic structures. This paradigm-shifting technology could redefine the future landscape of quantum communication, computing, and sensing.</p>
<p>At the heart of this innovation is the exploitation of nonlinear optical phenomena at the nanoscale, which enables the generation and control of quantum states imbued with exponentially richer dimensionality compared to conventional binary quantum bits. By intricately designing nanophotonic architectures that harness strong light-matter coupling and nonlinear susceptibilities, the researchers demonstrated unprecedented capabilities in producing complex quantum states encoded in multiple degrees of freedom. This complexity, arising from nonlinear interactions, is essential for scalable quantum technologies.</p>
<p>High-dimensional quantum states, or qudits, encode information in quantum systems that go beyond the traditional two-level qubit framework. These states can occupy many more levels, providing higher information density and enhanced resilience against noise and decoherence. Until now, robust generation and manipulation of such states remained a formidable challenge due to the stringent requirements on material properties, device integration, and nonlinear efficiency. The newly developed nonlinear nanophotonic platform surmounts these limitations by tailoring the optical nonlinearities within nanostructured environments.</p>
<p>Nonlinearity in optical media, particularly at the nanoscale, gives rise to processes such as frequency conversion, parametric amplification, and photon entanglement. These processes are fundamental for quantum state engineering as they provide mechanisms to intertwine multiple photons into highly entangled states or transform quantum states into new configurations enabling intricate quantum computations. The researchers employed sophisticated nano-fabrication methods to create waveguides and resonators that amplify these nonlinear effects while minimizing losses and decoherence.</p>
<p>Key to this research was the integration of nonlinear materials with nanophotonic structures exhibiting tight light confinement and high quality factors. These features enhance the electromagnetic field intensities within subwavelength volumes, significantly boosting the nonlinear interactions that generate correlated photon pairs and complex quantum superpositions. Such strong interactions at the nanoscale facilitate the on-chip synthesis of quantum states with dimensionalities previously unattainable with bulk optical systems.</p>
<p>The practical implications of generating high-dimensional quantum states on compact, chip-scale nanophotonic devices are profound. Quantum information protocols rely heavily on the ability to prepare, manipulate, and measure complex states efficiently. Nanophotonic nonlinearities enable rapid, scalable architectures that integrate seamlessly with existing silicon photonics, paving the way towards real-world quantum networks and computers that operate at room temperature with high speed and low energy consumption.</p>
<p>Another crucial aspect highlighted in the study is the tunability and reconfigurability of the nonlinear nanophotonic platform. By dynamically controlling parameters such as pump power, wavelength, and device morphology, the team showcased precise tailoring of the generated quantum states&#8217; dimensionality and entanglement properties. This level of control is essential for implementing diverse quantum algorithms and error-correction schemes that require adaptable quantum resources.</p>
<p>The research team also addressed challenges associated with maintaining quantum coherence in such high-dimensional states. Their innovative approach incorporates engineered dispersion and coherent feedback mechanisms within the nanophotonic circuits, enabling prolonged coherence times and reduced decoherence. This robustness ensures the practical utility of the quantum states for extended computational operations and reliable quantum communication channels.</p>
<p>Further, the scalability of this nonlinear nanophotonic technology was rigorously evaluated. Thanks to the compatibility with standard semiconductor fabrication techniques, the researchers demonstrated the feasibility of mass-producing these quantum photonic chips. Such scalability is vital for transitioning from laboratory demonstrations to industrial quantum devices, heralding a new era of quantum technology commercialization.</p>
<p>The implications of this work extend beyond quantum computation. High-dimensional quantum states generated and manipulated via nonlinear nanophotonics can significantly enhance quantum sensing and metrology applications. For example, exploiting the increased information capacity and entanglement dimensionality enables improved sensitivity and resolution in measuring physical parameters, ranging from magnetic fields to biological signals.</p>
<p>Moreover, the interdisciplinary nature of this research highlights the convergence of material science, optics, and quantum information. The design and synthesis of advanced nonlinear materials, combined with sophisticated nanofabrication and quantum optical theory, culminate in a versatile platform that can be adapted for various quantum photonic applications, including quantum cryptography and simulators of complex quantum systems.</p>
<p>The authors underscore the importance of continuing to develop new nonlinear materials with even higher nonlinear coefficients, lower losses, and favorable integration properties to further push the frontiers of high-dimensional quantum photonics. Efforts in materials discovery and nanofabrication will complement advances in control techniques, ensuring the rapid evolution of this promising quantum platform.</p>
<p>Critically, this research also opens the door for novel quantum protocols that harness the nonlinear generation of exotic photonic states such as cluster states, squeezed states, and multi-photon entangled states. These complex quantum resources are essential for fault-tolerant quantum computing and secure quantum communications, areas poised to benefit immensely from the newfound ability to engineer their dimensionality and coherence at the nanoscale.</p>
<p>In conclusion, the demonstration of nonlinear nanophotonics as a versatile and powerful toolkit for high-dimensional quantum state engineering marks a transformative milestone in quantum technology development. As the field progresses, expect to see these nonlinear nanophotonic devices increasingly integrated into quantum processors, secure communication networks, and advanced quantum metrology systems, accelerating the advent of a quantum-enabled future.</p>
<hr />
<p><strong>Subject of Research</strong>: Nonlinear nanophotonics for generation and manipulation of high-dimensional quantum states.</p>
<p><strong>Article Title</strong>: Nonlinear nanophotonics for high-dimensional quantum states.</p>
<p><strong>Article References</strong>:<br />
Nemirovsky-Levy, L., Kam, A., Lederman, M. <em>et al.</em> Nonlinear nanophotonics for high-dimensional quantum states. <em>Light Sci Appl</em> <strong>15</strong>, 92 (2026). <a href="https://doi.org/10.1038/s41377-025-02179-0">https://doi.org/10.1038/s41377-025-02179-0</a></p>
<p><strong>Image Credits</strong>: AI Generated</p>
<p><strong>DOI</strong>: 29 January 2026</p>
]]></content:encoded>
					
		
		
		<post-id xmlns="com-wordpress:feed-additions:1">132305</post-id>	</item>
		<item>
		<title>Programmable Bell State Generation on Lithium Niobate Chip</title>
		<link>https://scienmag.com/programmable-bell-state-generation-on-lithium-niobate-chip/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Sat, 03 Jan 2026 15:06:55 +0000</pubDate>
				<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[advanced quantum networking]]></category>
		<category><![CDATA[electro-optic properties of lithium niobate]]></category>
		<category><![CDATA[entangled photon pair production]]></category>
		<category><![CDATA[fault-tolerant quantum computing]]></category>
		<category><![CDATA[integrated photonic circuits]]></category>
		<category><![CDATA[lithium niobate quantum photonics]]></category>
		<category><![CDATA[programmable Bell state generation]]></category>
		<category><![CDATA[quantum communication systems]]></category>
		<category><![CDATA[quantum entanglement technology]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<category><![CDATA[secure quantum key distribution]]></category>
		<category><![CDATA[thin film lithium niobate platform]]></category>
		<guid isPermaLink="false">https://scienmag.com/programmable-bell-state-generation-on-lithium-niobate-chip/</guid>

					<description><![CDATA[In a groundbreaking advancement at the frontier of quantum photonics, researchers have successfully demonstrated programmable generation of Bell states using an integrated thin film lithium niobate circuit. This revolutionary approach marks a significant leap toward scalable and versatile quantum communication systems, leveraging the unique properties of lithium niobate to achieve unprecedented control and fidelity in [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>In a groundbreaking advancement at the frontier of quantum photonics, researchers have successfully demonstrated programmable generation of Bell states using an integrated thin film lithium niobate circuit. This revolutionary approach marks a significant leap toward scalable and versatile quantum communication systems, leveraging the unique properties of lithium niobate to achieve unprecedented control and fidelity in entangled photon pair production.</p>
<p>At the heart of this innovation lies the thin film lithium niobate platform, a remarkable material known for its exceptional electro-optic coefficients, wide transparency window, and strong nonlinear interactions. By integrating sophisticated photonic circuitry onto this substrate, the team has engineered a highly tunable environment that enables precise manipulation of quantum states, specifically facilitating the creation of Bell states — fundamental building blocks for quantum information processing.</p>
<p>A Bell state represents a specific form of quantum entanglement characterized by perfect correlations between two particles, regardless of the distance separating them. The ability to generate these states on an integrated photonic chip is a critical milestone, opening new avenues for fault-tolerant quantum computing, secure quantum key distribution, and advanced quantum networking. This integrated approach addresses many of the scalability challenges that have long hindered the deployment of quantum technologies in practical settings.</p>
<p>The innovation hinges on the programmable nature of the circuit, which is pivotal in adapting to different quantum protocols and user requirements without necessitating extensive hardware modifications. Using an array of electro-optic modulators and waveguide elements sculpted into the lithium niobate thin film, the circuit can dynamically control the phase and amplitude of photon pairs. This capability allows researchers to switch between different Bell states in real time, offering unparalleled flexibility and reconfigurability.</p>
<p>Manufacturing the integrated circuit involved cutting-edge fabrication techniques, including precision lithography and ion slicing, to create ultra-thin lithium niobate layers seamlessly integrated onto silicon substrates. This hybrid approach takes advantage of the mature silicon photonics ecosystem while harnessing the superior nonlinear and electro-optic properties of lithium niobate, resulting in devices that are both compact and compatible with existing semiconductor technologies.</p>
<p>In practical terms, the circuit employs spontaneous parametric down-conversion (SPDC), a nonlinear optical process wherein a pump photon splits into two lower-energy entangled photons. The thin film lithium niobate’s high nonlinearity significantly enhances the efficiency of this process compared to bulk crystals, enabling higher rates of entangled photon pair generation with lower input power. Moreover, integrating SPDC sources directly on-chip reduces coupling losses and enhances system stability.</p>
<p>One of the remarkable technical achievements of this work is the suppression of decoherence effects, which typically degrade entanglement fidelity. The integrated environment allows for meticulous control over photon indistinguishability and mode matching, critical factors influencing entanglement quality. Through thermal tuning and active phase stabilization embedded in the chip architecture, the researchers demonstrated consistently high-visibility quantum interference patterns, indicative of robust Bell state formation.</p>
<p>Additionally, the device supports multi-functional capabilities beyond Bell state generation, such as on-chip interferometry and quantum state tomography. These features enable comprehensive quantum state characterization and manipulation within a compact footprint, simplifying experimental setups and paving the way for integrated quantum photonic circuits in applied quantum technologies.</p>
<p>The potential impact of this technology extends to quantum communication networks, where distribution of entangled states between distant nodes is essential for performing tasks like quantum teleportation and device-independent quantum cryptography. The programmable aspect ensures adaptability to such network protocols, facilitating reliable and scalable quantum information transfer over fiber-optic links.</p>
<p>Furthermore, the integration on a thin film platform offers prospects for mass production and commercial viability. Unlike bulky and expensive bulk optics setups, chip-based systems promise cost-effective manufacturing, miniaturization, and hybrid integration with classical control electronics, heralding a new era of accessible quantum devices for both research and industry.</p>
<p>The research team showcased several proof-of-concept experiments demonstrating the generation of all four canonical Bell states, emphasizing the circuit’s versatility. By adjusting electronic control signals, they rapidly switched between different entangled configurations, each validated through full quantum state tomography. This level of programmability surpasses previous demonstrations reliant on static optical elements, representing a paradigm shift in entangled photon sources.</p>
<p>Another critical advancement featured in this work is the scalability potential. The modular nature of the integrated circuit design suggests that larger, more complex quantum photonic processors could be realized by networking multiple lithium niobate chips. This approach aligns with the broader goals of constructing scalable quantum computers and simulators that exploit photonic qubits’ low noise and long coherence times.</p>
<p>Importantly, the work also addresses integration challenges related to temperature sensitivity and photonic losses. Advanced packaging techniques alongside integrated heaters and feedback control systems ensure thermal robustness and maintain optimal phase matching conditions, crucial for consistent entangled photon generation across varying environmental conditions.</p>
<p>This milestone contributes significantly to the quantum photonics community, particularly in the ongoing quest for practical quantum hardware platforms. The marriage of thin film lithium niobate technology with programmable quantum state generation not only underscores the material’s versatility but also sets a new standard for quantum photonic integration in both laboratory and field environments.</p>
<p>Looking forward, the implications of this research could be transformative for quantum networks, enabling real-world deployment of quantum key distribution systems with high security guarantees. The integrated programmable sources could also serve as building blocks for quantum repeaters, devices essential for extending the reach of quantum communication over continental scales.</p>
<p>Moreover, the fusion of integrated photonics, nonlinear optics, and reconfigurable quantum circuits exemplified in this study may inspire further innovations in quantum sensing and metrology. Highly entangled photon pairs generated on-demand with tunable properties could enhance measurement precision in applications ranging from gravitational wave detection to biological imaging.</p>
<p>The technology’s compatibility with existing telecommunication standards is another promising aspect, as it facilitates seamless integration into current fiber optic infrastructure. This feature reduces the barrier to entry for commercial quantum communication providers and accelerates the transition from experimental setups to deployable quantum networks.</p>
<p>In conclusion, the successful programmable generation of Bell states within an integrated thin film lithium niobate circuit represents a pivotal stride toward practical, scalable quantum technologies. By combining material innovation, sophisticated circuit design, and quantum optical engineering, the research charts a compelling path toward accessible quantum devices that are reconfigurable, reliable, and integrable with existing platforms. This work not only advances scientific understanding but also lays foundational technology critical for the quantum information era.</p>
<hr />
<p><strong>Subject of Research</strong>: Programmable generation of quantum Bell states using integrated thin film lithium niobate photonic circuits.</p>
<p><strong>Article Title</strong>: Programmable Bell state generation in an integrated thin film lithium niobate circuit.</p>
<p><strong>Article References</strong>:<br />
Maeder, A., Chapman, R.J., Sabatti, A. <em>et al.</em> Programmable Bell state generation in an integrated thin film lithium niobate circuit. <em>Light Sci Appl</em> 15, 43 (2026). <a href="https://doi.org/10.1038/s41377-025-02150-z">https://doi.org/10.1038/s41377-025-02150-z</a></p>
<p><strong>Image Credits</strong>: AI Generated</p>
<p><strong>DOI</strong>: 10.1038/s41377-025-02150-z</p>
<p><strong>Keywords</strong>: thin film lithium niobate, quantum photonics, Bell state, entangled photons, integrated photonic circuits, programmable quantum sources, spontaneous parametric down-conversion, quantum communication, quantum information processing, electro-optic modulation, nonlinear optics</p>
]]></content:encoded>
					
		
		
		<post-id xmlns="com-wordpress:feed-additions:1">122842</post-id>	</item>
		<item>
		<title>Spin Squeezing Achieved in Diamond NV Centers</title>
		<link>https://scienmag.com/spin-squeezing-achieved-in-diamond-nv-centers/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Thu, 02 Oct 2025 08:18:12 +0000</pubDate>
				<category><![CDATA[Medicine]]></category>
		<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[advancements in quantum optics]]></category>
		<category><![CDATA[entanglement-enhanced sensing]]></category>
		<category><![CDATA[intrinsic dipolar magnetic interactions]]></category>
		<category><![CDATA[nitrogen-vacancy centers in diamond]]></category>
		<category><![CDATA[overcoming operational complexity in quantum systems]]></category>
		<category><![CDATA[precision measurement technologies]]></category>
		<category><![CDATA[quantum correlations among spins]]></category>
		<category><![CDATA[room temperature quantum devices]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<category><![CDATA[solid-state quantum systems]]></category>
		<category><![CDATA[spin squeezing in quantum metrology]]></category>
		<category><![CDATA[surpassing classical measurement limits]]></category>
		<guid isPermaLink="false">https://scienmag.com/spin-squeezing-achieved-in-diamond-nv-centers/</guid>

					<description><![CDATA[In a groundbreaking advancement for quantum metrology, researchers have successfully demonstrated spin squeezing within a solid-state system—an achievement that promises to revolutionize precision measurement technologies. Spin-squeezed states, long recognized for their utility in surpassing classical measurement limits, have now been realized in an ensemble of nitrogen–vacancy (NV) centers in diamond at room temperature. This marks [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>In a groundbreaking advancement for quantum metrology, researchers have successfully demonstrated spin squeezing within a solid-state system—an achievement that promises to revolutionize precision measurement technologies. Spin-squeezed states, long recognized for their utility in surpassing classical measurement limits, have now been realized in an ensemble of nitrogen–vacancy (NV) centers in diamond at room temperature. This marks a pivotal moment: the first reported instance of entanglement-enhanced sensing harnessed in a solid-state environment, offering a pathway to unprecedented sensor performance in practical, scalable quantum devices.</p>
<p>Spin squeezing fundamentally relies on engineering quantum correlations among spins to reduce uncertainties in particular measurement directions, thereby beating the standard quantum limit imposed by independent spins. Historically, such squeezing has been achieved predominantly in atomic and ionized systems—ultracold atoms trapped in optical cavities or ions in crystal arrays. These platforms excel in controllability but present scalability and operational complexity challenges. The new work transcends these hurdles by leveraging the intrinsic dipolar magnetic interactions naturally present in NV center ensembles, revealing that native interactions can be harnessed rather than suppressed for quantum advantage.</p>
<p>The nitrogen–vacancy center in diamond is a point defect comprised of a substitutional nitrogen atom adjacent to a vacancy in the carbon lattice. Renowned for its optical addressability and long coherence times even at room temperature, the NV center constitutes a prime candidate for solid-state quantum technologies. Yet, inducing and detecting entanglement such as spin squeezing in these imperfectly ordered arrays, where defect positioning is random, has posed a formidable challenge. The irregular spatial distribution complicates the control of spin dynamics and often obscures collective quantum features.</p>
<p>Overcoming this obstacle, the research team devised a novel interaction-enabled noise spectroscopy method. This technique provides a way to characterize the quantum projection noise—the fundamental spin uncertainty—without requiring direct, high-resolution readout of the spin state&#8217;s probability distribution. By analyzing noise spectra mediated by dipole–dipole interactions among NV spins, they could infer squeezing signatures with remarkable precision. This indirect approach circumvents the technical limitations commonly encountered in solid-state spin detection.</p>
<p>Key to their success was the strategic isolation of a relatively ordered sub-ensemble of NV centers within the broader disordered matrix. Recognizing that randomness in spin positions limits squeezing generation, the researchers implemented advanced filtering protocols and spatial selection techniques to focus control on clusters where dipole interactions behave more coherently. This careful engineering of the spin environment enabled clearer observation of nonclassical correlations and enhanced the collective spin dynamics vital for squeezing.</p>
<p>The experimentally observed spin squeezing reached a depth of approximately −0.50 ± 0.13 decibels below the noise floor of uncorrelated spins. While modest compared to some atomic system benchmarks, this represents a transformative milestone for solid-state quantum sensing. The spin-squeezed states produced in the diamond sample directly utilize native dipolar coupling, showing that quantum entanglement can be generated and maintained within these robust, scalable platforms even at ambient conditions—long a holy grail for quantum technologies.</p>
<p>This demonstration holds profound implications for a range of quantum sensor applications. NV centers feature prominently in magnetometry, electrometry, thermometry, and timekeeping; introducing entanglement-enhanced measurement protocols could dramatically reduce noise floors and boost sensitivity beyond classical limits. More broadly, this work offers a blueprint for harnessing intrinsic solid-state interactions to produce entangled resource states previously achievable only in exquisitely engineered atomic systems.</p>
<p>Moreover, the research emphasizes the scalability of solid-state ensembles, which can incorporate millions of spins, potentially unlocking new domains of quantum-enhanced sensing across diverse fields. From biomedical imaging to navigation and fundamental physics experiments, spin squeezing in solids could enable sensors that are both highly sensitive and readily deployable outside laboratory settings. The combination of room-temperature operation and optical accessibility further strengthens this practical appeal.</p>
<p>The findings also foster exciting fundamental insights into the dynamics of strongly interacting spin systems. The interplay of dipolar interactions, disorder, and decoherence in NV ensembles underpins rich many-body physics phenomena. By demonstrating controlled entanglement amidst these complexities, the study opens avenues for exploring driven quantum matter, information processing, and quantum error correction in spatially extended solid-state platforms.</p>
<p>Looking forward, the authors highlight opportunities to improve squeezing depth by optimizing defect densities, crystal purity, and readout schemes. Integration with advanced control sequences and quantum feedback may further enhance performance and robustness. Coupling NV ensembles to photonic and mechanical elements also suggests routes toward hybrid quantum technologies with entanglement-mediated communication and sensing capabilities.</p>
<p>This breakthrough bridges a longstanding gap between the exceptional metrological advantages of spin squeezing and the practical benefits of solid-state quantum systems. It confirms that the noisy, disordered environment of diamond spin ensembles can be tamed to realize precisely engineered quantum correlations. Ultimately, this work paves the way for next-generation quantum sensors that combine entanglement-enhanced sensitivity with the ruggedness and scalability demanded for real-world deployment.</p>
<p>By capturing spin squeezing signatures in a room-temperature solid, the study not only advances quantum metrology but also enriches the broader quantum information science landscape. It signals a promising future where entanglement and coherence become standard tools in nanoscale sensing and quantum technologies built upon the remarkable physics of defects in solids.</p>
<hr />
<p><strong>Subject of Research</strong>:<br />
Spin squeezing and quantum entanglement in solid-state ensembles of nitrogen–vacancy centers in diamond.</p>
<p><strong>Article Title</strong>:<br />
Spin squeezing in an ensemble of nitrogen–vacancy centres in diamond.</p>
<p><strong>Article References</strong>:<br />
Wu, W., Davis, E.J., Hughes, L.B. et al. Spin squeezing in an ensemble of nitrogen–vacancy centres in diamond. Nature 646, 74–80 (2025). <a href="https://doi.org/10.1038/s41586-025-09524-8">https://doi.org/10.1038/s41586-025-09524-8</a></p>
<p><strong>Image Credits</strong>: AI Generated</p>
<p><strong>DOI</strong>:<br />
<a href="https://doi.org/10.1038/s41586-025-09524-8">https://doi.org/10.1038/s41586-025-09524-8</a></p>
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		<title>Topological Bulk Cavity Enables Single-Photon Source</title>
		<link>https://scienmag.com/topological-bulk-cavity-enables-single-photon-source/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Thu, 28 Aug 2025 06:00:26 +0000</pubDate>
				<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[band topology in photonics]]></category>
		<category><![CDATA[environmental stability in quantum devices]]></category>
		<category><![CDATA[innovative quantum computing techniques]]></category>
		<category><![CDATA[integration of optical circuits]]></category>
		<category><![CDATA[photonic crystal engineering]]></category>
		<category><![CDATA[properties of topological phases of matter]]></category>
		<category><![CDATA[quantum communication advancements]]></category>
		<category><![CDATA[reliable single-photon generation]]></category>
		<category><![CDATA[robust photon emission platforms]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<category><![CDATA[single-photon source development]]></category>
		<category><![CDATA[topological bulk cavity]]></category>
		<guid isPermaLink="false">https://scienmag.com/topological-bulk-cavity-enables-single-photon-source/</guid>

					<description><![CDATA[In a groundbreaking advancement poised to transform the landscape of quantum communication and computing, a team of researchers led by Mao XR and colleagues has unveiled a novel single-photon source based on a topological bulk cavity. This pioneering work, recently published in Light: Science &#38; Applications, represents a significant leap forward in harnessing the unique [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>In a groundbreaking advancement poised to transform the landscape of quantum communication and computing, a team of researchers led by Mao XR and colleagues has unveiled a novel single-photon source based on a topological bulk cavity. This pioneering work, recently published in <em>Light: Science &amp; Applications</em>, represents a significant leap forward in harnessing the unique properties of topological phases of matter to generate reliable, on-demand single photons — a cornerstone for scalable quantum technologies.</p>
<p>Central to this breakthrough is the innovative use of a topological bulk cavity, which deviates from the conventional practice of relying on edge states or localized defect modes. Instead, the researchers exploit the inherent robustness of topological bulk modes, typically overlooked, to create a stable and efficient platform for photon emission. This approach not only enhances the device’s resilience to fabrication imperfections and environmental disturbances but also paves the way for integration into complex optical circuits with unprecedented stability.</p>
<p>The topological bulk cavity presented in the study leverages the peculiar band structures arising from synthetic dimensions engineered within a photonic crystal framework. By carefully designing the lattice parameters and refractive index distributions, Mao et al. induce a nontrivial band topology characterized by distinct bulk states that remain protected against disorder, a hallmark trait of topological phases. This fundamentally alters the traditional paradigm, wherein bulk states were primarily considered inert or less useful, by revealing their potential as hosts for quantum light generation.</p>
<p>The crux of the team’s experimental setup involves embedding quantum emitters within this topologically engineered cavity. These emitters interact coherently with the bulk cavity modes, resulting in efficient single-photon emission. The topological protection ensures that photon generation processes are robust against fluctuations and imperfections, addressing a long-standing challenge in single-photon source development — the balance between emission purity, efficiency, and device reliability.</p>
<p>One of the most remarkable outcomes of this research is the observed suppression of multi-photon events, a critical parameter for single-photon source performance. The topological bulk cavity achieves a pronounced antibunching effect, validating the quantum nature of the emitted light. This characteristic, coupled with the high photon indistinguishability measured in the experiments, suggests that such devices could meet the stringent requirements for quantum key distribution, photonic quantum computing, and other advanced quantum applications.</p>
<p>Delving deeper into the physics, the study elucidates how the cavity’s topological nature modifies the local density of photonic states, thereby enhancing the emitter-cavity coupling strength. This results in a pronounced Purcell effect that accelerates spontaneous emission rates without compromising coherence. The interplay between cavity geometry and topological protection fosters an environment where single-photon emission is not only efficient but remains consistent over extended periods, a vital prerequisite for practical deployment.</p>
<p>Moreover, the robustness of the bulk topological modes against scattering and back-reflection fundamentally contributes to reducing noise and decoherence mechanisms that plague conventional cavity quantum electrodynamics systems. This inherent stability is especially impactful when scaling up device architectures for integrated quantum photonic circuits, where cumulative imperfections can severely degrade performance.</p>
<p>In parallel, the researchers demonstrate the tunability of their topological bulk cavity design. By adjusting lattice parameters and electromagnetic boundary conditions, they can finely tailor the spectral properties and quality factors of the cavity modes. Such flexibility enables optimization for diverse quantum emitters operating at different frequencies, broadening the applicability of this technology across various material platforms and quantum systems.</p>
<p>The implications of this discovery extend beyond single-photon emission. The methodology of employing topological bulk modes could be adapted for multi-photon sources, entangled photon pair generation, and even quantum light-matter interfaces necessary for quantum networks. The universal principles governing topological protection imbue these photonic structures with a versatility and resilience challenging to achieve with traditional photonic designs.</p>
<p>From a technological standpoint, fabricating these topological bulk cavities harnesses state-of-the-art nanofabrication techniques, ensuring compatibility with existing semiconductor processing methods. This integration potential accelerates the path toward commercial quantum photonic devices that are compact, efficient, and operable at ambient conditions, circumventing the stringent requirements that have hindered earlier quantum optics platforms.</p>
<p>Furthermore, the use of topological concepts in photonics is part of an emerging trend that merges condensed matter physics with optical engineering, leading to new avenues for manipulating light in unconventional ways. This research not only contributes a practical device to this growing field but also deepens our fundamental understanding of how topological phases can be engineered and exploited in quantum optical contexts.</p>
<p>The study’s experimental verification includes meticulous measurements of photon statistics, spectral linewidths, and coherence properties, confirming the theoretical predictions with a high degree of precision. These rigorous characterizations bolster confidence that the topological bulk cavity functions as intended and can be reliably reproduced, a critical factor for advancing quantum photonic technology from laboratory curiosity to industry standard.</p>
<p>Looking ahead, integration of these single-photon sources into complex quantum networks, including quantum repeaters and photonic quantum processors, appears promising. The enhanced control offered by topological photonic structures aligns with the requirements of fault-tolerant quantum systems, where error rates must be minimized, and signal integrity maintained over long durations and distances.</p>
<p>In essence, this achievement represents a paradigm shift in the design philosophy of quantum photonic devices. By eschewing traditional reliance on fragile edge modes and embracing the robustness of bulk topological states, the researchers have opened a new frontier. This frontier not only holds the promise of advancing quantum communication security but also propelling quantum computing closer to realization through scalable, high-fidelity light sources.</p>
<p>As the landscape of quantum technologies continues to evolve rapidly, innovations such as this topological bulk cavity single-photon source are critical milestones. They serve not just as proof of concept but as foundational components upon which future quantum information systems can be built reliably, efficiently, and at scale. The findings from Mao and colleagues are poised to inspire further research at the crossroads of topology, photonics, and quantum mechanics, setting the stage for transformative advances in the near future.</p>
<p>This novel single-photon source exemplifies how revisiting fundamental physics concepts can yield unexpected practical breakthroughs. The harnessing of topological bulk states challenges preconceived notions and invites the scientific community to reimagine photonic device architectures, heralding an exciting era of resilient, tunable, and high-performance quantum light sources that will underpin the next generation of quantum technologies.</p>
<hr />
<p><strong>Subject of Research</strong>: Single-photon source based on a topological bulk cavity.</p>
<p><strong>Article Title</strong>: A single-photon source based on topological bulk cavity.</p>
<p><strong>Article References</strong>:<br />
Mao, XR., Ji, WJ., Wang, SL. <em>et al.</em> A single-photon source based on topological bulk cavity. <em>Light Sci Appl</em> <strong>14</strong>, 295 (2025). <a href="https://doi.org/10.1038/s41377-025-01929-4">https://doi.org/10.1038/s41377-025-01929-4</a></p>
<p><strong>Image Credits</strong>: AI Generated</p>
<p><strong>DOI</strong>: <a href="https://doi.org/10.1038/s41377-025-01929-4">https://doi.org/10.1038/s41377-025-01929-4</a></p>
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		<title>Revolutionary Method Paves the Way for Simulating Error-Correctable Quantum Computers</title>
		<link>https://scienmag.com/revolutionary-method-paves-the-way-for-simulating-error-correctable-quantum-computers/</link>
		
		<dc:creator><![CDATA[SCIENMAG]]></dc:creator>
		<pubDate>Wed, 02 Jul 2025 11:39:07 +0000</pubDate>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[breakthrough in quantum simulations]]></category>
		<category><![CDATA[challenges in quantum computing]]></category>
		<category><![CDATA[error-correctable quantum computers]]></category>
		<category><![CDATA[international research collaboration in quantum tech]]></category>
		<category><![CDATA[overcoming quantum errors in computations]]></category>
		<category><![CDATA[quantum computation advantages over classical]]></category>
		<category><![CDATA[quantum computing advancements]]></category>
		<category><![CDATA[quantum information fragility]]></category>
		<category><![CDATA[qubit error correction methods]]></category>
		<category><![CDATA[robust quantum technology development]]></category>
		<category><![CDATA[scalable quantum technologies]]></category>
		<category><![CDATA[superposition and entanglement in quantum systems]]></category>
		<guid isPermaLink="false">https://scienmag.com/revolutionary-method-paves-the-way-for-simulating-error-correctable-quantum-computers/</guid>

					<description><![CDATA[Quantum computing stands at the frontier of technological revolution, promising to solve problems far beyond the reach of today’s most powerful supercomputers. However, one of the most significant barriers preventing these machines from achieving their full potential lies in the fragility of quantum information itself. Qubits, the fundamental units of quantum computers, are highly susceptible [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Quantum computing stands at the frontier of technological revolution, promising to solve problems far beyond the reach of today’s most powerful supercomputers. However, one of the most significant barriers preventing these machines from achieving their full potential lies in the fragility of quantum information itself. Qubits, the fundamental units of quantum computers, are highly susceptible to errors caused by environmental noise and other disturbances, impeding the development of truly reliable and scalable quantum systems. A breakthrough development by an international team of researchers now provides a pivotal step towards overcoming this challenge by introducing a novel method capable of simulating error-correcting quantum computations—an achievement that could accelerate the advent of robust quantum technologies.</p>
<p>Quantum computers leverage the peculiar properties of quantum mechanics, notably superposition and entanglement, to perform calculations that require simultaneously processing an enormous number of potential states. This property gives quantum machines an exponential computational advantage over classical computers when tackling specific classes of problems, including cryptography, material science, optimization, and artificial intelligence. Yet, this immense power comes with a steep trade-off. The quantum states encoded in qubits are extraordinarily fragile. Even minimal influences such as slight vibrations, thermal fluctuations, or electromagnetic interference can induce errors, causing qubits to lose coherence and the quantum computations to collapse prematurely.</p>
<p>Addressing these errors is not straightforward. Unlike classical bits, quantum bits cannot simply be copied or measured outright without disturbing the system. This limitation demands quantum-specific error correction strategies that distribute information redundantly across complex quantum states without destroying the delicate quantum information. Among these strategies, bosonic codes have emerged as a promising approach by encoding quantum information into multiple energy levels of quantum oscillators or vibrational modes. This approach, particularly embodied in the Gottesman-Kitaev-Preskill (GKP) code, offers a path toward protecting quantum information from noise and enhancing error resilience.</p>
<p>Despite the conceptual promise of bosonic codes like the GKP, simulating these systems on classical computers—a crucial step needed for validation and error analysis—has remained a formidable task. The multi-level quantum harmonic oscillators used in these codes create an infinite-dimensional Hilbert space, making computational simulations enormously complex and, in many scenarios, practically intractable even for the most advanced classical supercomputers. This bottleneck has limited researchers’ ability to fully understand and verify the error-correcting capabilities of bosonic-coded quantum circuits.</p>
<p>The newly introduced method changes this landscape by offering a powerful algorithm capable of simulating quantum circuits encoded with realistic odd-dimensional GKP states. The method hinges on an innovative mathematical tool that effectively captures the quantum information encoded by the GKP code in a way that can be efficiently represented and processed on classical computers. This tool models the quantum states and their interactions via wave-like patterns, making it feasible to observe and predict how error-corrected quantum information evolves and responds to noise in the system.</p>
<p>Such advancements are not merely academic. Being able to simulate quantum error correction protocols with precision enables researchers and engineers to validate quantum hardware experimentally and theoretically in ways that were previously impossible. This capability provides crucial insights into the fault tolerance of quantum devices, allowing for the optimization of quantum codes and error-correcting algorithms before deploying them on physical quantum processors. Ultimately, this accelerates the development of scalable quantum computers capable of sustaining long computations free of debilitating errors.</p>
<p>The research team responsible for this breakthrough includes scientists from Chalmers University of Technology in Sweden, the University of Milan in Italy, the University of Granada in Spain, and the University of Tokyo in Japan. Their collaborative effort culminated in a study published in the prestigious journal Physical Review Letters. The study, led by Cameron Calcluth and co-authored by Giulia Ferrini and others, details the structure and performance of their simulation approach, which has outpaced previous methods in terms of accuracy and computational feasibility.</p>
<p>At the heart of quantum error correction with bosonic codes is the concept of spreading quantum information across multiple quantum energy levels, a strategy that can detect and rectify errors without collapsing the quantum state. GKP states achieve this by embedding quantum information into specific grid-like structures in phase space, a mathematical representation of quantum states. The newly developed simulation algorithm exploits this structure to represent the quantum system efficiently, illuminating the impact of various error channels, including noise and decoherence, on these highly fragile states.</p>
<p>Moreover, this simulation technique opens doors to future explorations of other advanced quantum codes and systems beyond GKP. It sets a precedent for hybrid approaches to quantum error correction that combine continuous-variable systems with discrete qubit architectures, broadening the spectrum of quantum computing platforms that can be studied and optimized using classical computational resources.</p>
<p>The implications of this research stretch into the near future of quantum technology. As quantum processors grow in size and complexity, validated error correction becomes indispensable to maintain computational integrity. Experimental groups worldwide can leverage these improved classical simulations to benchmark their devices, tailor error correction schemes, and design architectures less vulnerable to noise.</p>
<p>In addition to providing critical insights for hardware developers, this advance also holds promise for quantum software designers who formulate quantum algorithms. By incorporating realistic noise models simulated with the new approach, algorithm developers can better understand algorithmic robustness and error thresholds, leading to more practical quantum applications and improved quantum software stacks.</p>
<p>The significance of this research also lies in democratizing access to the testing of quantum error correction strategies. Since simulating error-corrected quantum computations was previously limited to highly specialized facilities with enormous computational power, this new approach could broaden accessibility, enabling more research groups globally to participate actively in refining quantum technologies.</p>
<p>In summary, while quantum computing promises to drive a transformative shift across multiple scientific and industrial domains, its path depends critically on developing reliable fault-tolerant mechanisms. The method unveiled by this multidisciplinary research team marks a milestone by making classical simulation of error-correctable quantum computations viable and more realistic. This opens an accelerated route toward achieving stable, scalable, and practical quantum computing, propelling humanity closer to harnessing the full potential of quantum mechanics for computation.</p>
<hr />
<p><strong>Subject of Research</strong>: Not applicable</p>
<p><strong>Article Title</strong>: Classical simulation of circuits with realistic odd-dimensional Gottesman-Kitaev-Preskill states</p>
<p><strong>News Publication Date</strong>: 1-Jul-2025</p>
<p><strong>Web References</strong>:<br />
<a href="https://publish.ne.cision.com/l/rcgzhsbqc/doi.org/10.1103/xmtw-g54f">https://publish.ne.cision.com/l/rcgzhsbqc/doi.org/10.1103/xmtw-g54f</a><br />
<a href="http://dx.doi.org/10.1103/xmtw-g54f">http://dx.doi.org/10.1103/xmtw-g54f</a></p>
<p><strong>References</strong>:<br />
Calcluth, C., Ferrini, G., Hahn, O., Bermejo-Vega, J., &amp; Ferraro, A. Classical simulation of circuits with realistic odd-dimensional Gottesman-Kitaev-Preskill states. Physical Review Letters, July 1, 2025.</p>
<p><strong>Image Credits</strong>:<br />
Chalmers University of Technology | Cameron Calcluth</p>
<p><strong>Keywords</strong>:<br />
Quantum computing, error correction, bosonic codes, Gottesman-Kitaev-Preskill code, quantum simulation, fault tolerance, quantum algorithms, continuous-variable quantum systems, quantum noise, quantum superposition</p>
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