The core difficulty with position verification is that ordinary distance measurements are fundamentally based on trust. Radar, GPS, and time-of-flight ranging all rely on the assumption that the device being located responds honestly and that the signals it returns are genuine. A spoofing attacker can exploit this by relaying messages, predicting challenge responses, or replaying recorded signals faster than physics should allow. Classical cryptography alone cannot close these loopholes, because any classical challenge-response scheme can, in principle, be simulated or forwarded by a sufficiently capable adversary. What the new work shows is that by encoding challenges in quantum states, specifically coherent states, the kind of light produced by ordinary lasers, and by enforcing the relativistic speed limit on information, a verifier can confirm a prover’s location with security guarantees that no classical protocol can match.

The protocol builds on a concept known as relativistic position verification, which has been discussed theoretically for more than a decade. The idea is elegant in its use of special relativity. A verifier sends a challenge signal to the claimed position of a prover, and the prover must respond within a strict time window determined by the speed of light. If the prover is genuinely at the claimed position, the round-trip timing works out precisely. If the prover is anywhere else, the finite speed of light makes it impossible to receive the challenge and return a correct response in time. The catch, historically, has been that a single relativistic check can be defeated by multiple colluding adversaries who surround the claimed position and share information, provided the challenge itself carries no quantum advantage. The new protocol confronts this collusion problem directly by making the challenge a quantum state that cannot be perfectly copied or measured without disturbance.

Coherent states occupy a special place in quantum optics. They are the closest quantum states to classical light, describing the output of an ideal laser, and they are famously robust: a beam splitter tapping a fraction of a coherent state leaves the remaining light in another coherent state, undisturbed. This resilience is precisely why coherent states are the workhorses of optical communication. But it also means they cannot be protected by the no-cloning theorem in the same dramatic way that single photons can. The researchers’ insight was to design a verification scheme in which the security does not depend on detecting eavesdropping through disturbance, but rather on the statistical structure of the coherent-state challenge combined with relativistic timing constraints. An attacker who tries to intercept, measure, and forward the challenge gains only limited information within the light-speed-bounded window, and that limitation translates into a quantifiable, provable bound on the probability of successful spoofing.

In the experimental demonstration, the team implemented the protocol using quantum optical equipment in a laboratory setting that emulated the geometry of a multi-verifier network. Verifiers at separated reference points prepared coherent-state challenges and sent them toward the claimed position of a prover. The prover, located at the intersection point defined by the overlapping signals, was required to perform a joint measurement on the arriving light and return a response that depended on the full quantum content of the challenges. The verifiers then checked both the correctness of the response and its arrival time against the relativistically mandated schedule. Only a prover genuinely at the claimed spacetime point, with access to the complete quantum information carried by the coherent pulses, could satisfy both conditions simultaneously with high probability.

The measurement statistics from the experiment confirmed the central theoretical prediction. Honest provers at the correct location passed the verification test with high probability, while simulated attacks, in which adversaries positioned away from the claimed point attempted to collaborate and cheat the timing and content checks, succeeded only with probabilities bounded well below the levels required to break the protocol. The experiment thereby elevated relativistic position verification from a theoretical proposal with idealized assumptions to a demonstrated capability built from realistic optical components. Because coherent states are exactly what standard telecommunications lasers produce, the result carries an unusually direct path toward practical deployment in fiber networks and free-space optical links.

The security implications extend across several domains of modern technology. In satellite navigation, position verification could harden global positioning systems against spoofing attacks, a threat that has been demonstrated against civilian GPS receivers and poses risks to aviation, maritime shipping, and autonomous vehicles. In distributed computing and blockchain systems, verifiable position could anchor the physical identity of nodes, preventing adversaries from masquerading as geographically distributed participants. In quantum networks, where future quantum internet nodes will exchange entanglement and secret keys over continental distances, confirming that a node is physically where it claims to be adds a layer of authentication that no certificate or cryptographic key alone can provide. The protocol essentially gives the physical layer of communication a cryptographic guarantee derived from the laws of nature rather than from computational assumptions.

What makes the achievement scientifically notable is the way it reconciles two apparently competing demands. Quantum protocols for position verification have often relied on fragile single-photon states or entanglement, which are difficult to distribute over long distances and easily degraded by loss. Relativistic schemes, conversely, have been robust in their signals but vulnerable to collusion attacks. By choosing coherent states, the experimenters selected the most loss-tolerant, telecom-compatible quantum states available, and then recovered security against collusion through a careful protocol design that exploits the interplay between the quantum statistics of the light and the strict causal structure imposed by relativity. The result is a scheme whose ingredients are mundane, laser light and precise clocks, but whose guarantees are anything but.

The work also contributes to a broader conceptual shift in quantum information science: the recognition that spacetime structure itself is a computational and cryptographic resource. Just as entanglement enables tasks impossible classically, the light cone structure of relativistic spacetime constrains what any attacker can know and when they can know it, and protocols that weave quantum states through this causal fabric inherit guarantees rooted in physics. Position verification is perhaps the most natural application of this principle, because position is defined by spacetime, but researchers have begun exploring related ideas in secure timing, delegated quantum computation, and verifiable quantum communication. The new demonstration provides an experimental anchor for this emerging field, showing that the theory can be reduced to working hardware.

Challenges remain before such systems secure real-world infrastructure. Laboratory demonstrations operate over short distances with controlled timing, whereas field deployment will demand picosecond-level clock synchronization across verifier stations, management of atmospheric and fiber-induced noise, and careful analysis of loss, which affects coherent states in ways that must be folded into the security proofs. Scaling the number of verifiers and the distance to the prover will require engineering advances in optical timing distribution and high-speed quantum-light detection. Yet the direction is clear. The experiment demonstrates that verifying where someone is, without trusting anything they say, can be achieved by combining the most ordinary light in the universe with the most fundamental speed limit in nature. In doing so, it turns a century of physics, from Einstein’s postulates to the quantum theory of light, into a practical answer to a deceptively simple question: can you prove where you are? The answer, it turns out, is yes, if your answer travels at the speed of light and carries the quiet statistical fingerprint of a coherent state.

Subject of Research: Relativistic position verification using coherent quantum states of light

Article Title: Relativistic position verification with coherent states

Article References: Fan-Yuan, G.-J., Shan, Y.-G., Zhang, C., Wang, Y.-L., Fan, Y.-X., Xie, W.-X., He, D.-Y., Wang, S., Yin, Z.-Q., Chen, W., Fu, S.-N., Guo, G.-C., & Han, Z.-F. (2026). Relativistic position verification with coherent states. Nature Physics. https://doi.org/10.1038/s41567-026-03439-5

Image Credits: AI Generated

DOI: 10.1038/s41567-026-03439-5

Keywords: position verification, coherent states, quantum optics, relativistic cryptography, spoofing attacks, speed of light, quantum communication, laser light, quantum networks, spacetime, time-of-flight, security protocols

The central idea of the new protocol is that two parties who wish to share a secret key — conventionally called Alice and Bob — each send quantum optical signals toward an intermediary node, often referred to as Charlie. This arrangement mirrors the geometry of twin-field QKD, a protocol family introduced by Lucamarini and colleagues in 2018 that famously overcame the fundamental rate-distance limit of repeaterless quantum communication. That limit, formalized in bounds such as the PLOB bound, had long capped the secret-key rate achievable between two parties connected only by a lossy channel and classical communication, and twin-field QKD circumvented it by having signals meet in the middle rather than travel the full span. In twin-field schemes, single-photon-level pulses from the two ends interfere at the middle node, and the resulting interference statistics allow the end parties to distill a shared key while the middle node cannot learn the key content. Because the middle node hosts only untrusted measurement equipment, the architecture inherits much of the security appeal of measurement-device-independent designs, in which detector imperfections cannot be exploited to learn the key. Twin-field QKD has since been demonstrated over remarkable distances, including fiber spans of 511 km, 600 km, 658 km, 830 km, and even 1000 km in laboratory experiments, making it the leading approach for long-haul quantum links without quantum repeaters.

Inoue and Honjo’s proposal departs from the twin-field template in two significant ways. First, instead of transmitting isolated single pulses, the two parties send lasting sequences of weak coherent pulses. Second, the intermediary party does not combine the incoming signals with a beam splitter, as in standard twin-field designs, but instead uses a delay interferometer to receive them. With these modifications, four pulses — a quadruplet — interfere with one another at the intermediary node. This four-fold interference is not merely a technical curiosity: according to the authors, it prohibits the intermediary party from eavesdropping by directly measuring the transmitted signals. In other words, the very structure of the measurement at the middle node enforces the security property that makes measurement-device-independent protocols attractive, extending that protection from a single interfered pair of pulses to an entire train of pulses linked by phase relationships.

The lineage of the second modification traces back to the differential-phase-shift family of protocols, which Inoue himself helped originate. In 2009, Inoue and Iwai proposed differential-quadrature-phase-shift quantum key distribution, a scheme in which a sender transmits a train of weak coherent pulses with phases drawn from a set of quadrature values, and the receiver interferes pulses separated by a fixed delay. The security of such schemes rests on the fact that an eavesdropper cannot unambiguously distinguish the nonorthogonal phase states — a principle connected to fundamental results on the optimum unambiguous discrimination of linearly independent symmetric states established by Chefles and Barnett in 1998, and to the overlap-and-distinguishability theorem of Dieks. These results show that any measurement attempting to identify nonorthogonal states with certainty must either fail inconclusively or introduce errors, which is exactly the leverage a legitimate protocol needs to detect eavesdropping. By transplanting this differential-quadrature-phase-shift detection scheme into the twin-field geometry, the authors create a hybrid: the long-distance reach of the twin-field architecture combined with the measurement logic of differential phase encoding.

The practical appeal of the proposal lies as much in what it omits as in what it includes. Conventional twin-field QKD implementations typically rely on phase randomization and decoy-state methods — techniques introduced by Hwang and refined by Lo, Ma, Chen, and colleagues — to close security loopholes arising from the use of imperfect, attenuated laser sources rather than true single-photon sources. Decoy states require the sender to modulate the intensity of emitted pulses across several settings and to track the statistics of each, while phase randomization demands that the optical phase of every emitted pulse be randomized independently. Both add complexity to the transmitter hardware and to the classical post-processing that follows, and both introduce additional avenues through which imperfect modulation can open subtle security gaps. The proposed quadruplet-field protocol, by contrast, does not include phase randomization or decoy methods at all. According to the authors, this makes the system setup and operation simpler than in conventional twin-field QKD, while the scheme still achieves similar QKD distances.

The mechanism by which the protocol dispenses with these tools is worth examining. In decoy-based twin-field schemes, the security proof must account for the possibility that a photon-number-splitting attack exploits the multi-photon pulses that weak laser sources inevitably emit; decoy states allow the legitimate parties to bound the single-photon contribution to their signal. In the differential-quadrature-phase-shift approach, the security against unambiguous-state-discrimination attacks is instead built into the phase structure of the pulse train itself. Because the four-pulse interference at the intermediary node ties the detection outcomes to phase relationships spanning multiple pulses, an adversary at the middle cannot perform a measurement that cleanly separates the possible phase states without introducing detectable disturbance. The delay interferometer thus plays a dual role: it is both the physical receiver and, in effect, part of the security argument. This coupling of hardware and security logic is characteristic of the distributed-phase-reference family, in which the information carrier is not a single pulse’s state but a relation among many pulses.

The authors’ analysis, developed jointly by Inoue and Honjo, includes an estimation of the protocol’s performance, and the published paper presents the scheme across a series of figures illustrating the system configuration and key-rate behavior. The work is purely theoretical at this stage — the authors note that no datasets were generated or analyzed during the study — so the reported distances and rates are projections rather than laboratory demonstrations. Nevertheless, the performance estimate suggesting distances comparable to conventional twin-field QKD is significant, because it implies that the simplifications do not come at the cost of reach, which is the primary reason practitioners adopt twin-field architectures in the first place. In long-haul deployment scenarios, where repeaters do not yet exist and every splicing point and amplifier is excluded from the quantum path, preserving distance while removing hardware burden is a genuinely valuable combination.

Context matters for assessing this contribution. Quantum key distribution allows two parties to grow a shared secret key whose security is guaranteed by quantum physics rather than computational hardness assumptions, and the field has matured from the original Bennett-Brassard protocol of 1984 through decoy-state implementations, continuous-variable schemes of the kind pioneered by Grosshans and Grangier, and measurement-device-independent designs from Braunstein and Pirandola and from Lo, Curty, and Qi that close detector side channels entirely. Each generation of protocols has addressed a specific gap: prepare-and-measure schemes left source flaws open, decoy methods patched the source, and measurement-device independence removed the detectors from the trust boundary. Twin-field QKD emerged as a particularly important branch because it scales with the square root of the channel transmittance rather than linearly, enabling key generation over distances where direct transmission yields essentially no key. Experimental groups worldwide have pushed twin-field systems past 1000 km of fiber, though such records rely on sophisticated stabilization, ultralow-loss links, and advanced detectors — precisely the kind of elaborate apparatus that raises cost and complexity.

Against that backdrop, the new proposal addresses a real engineering pain point. The transmitters in decoy-state twin-field systems must modulate both phase and intensity with high precision and maintain phase randomization, while the receivers and post-processing must handle multiple intensity classes. A protocol that achieves comparable distance with a simpler transmitter — sequential weak coherent pulses without decoy modulation or deliberate phase randomization — could reduce cost and complexity, potentially easing deployment in settings where operational simplicity matters more than squeezing out the last increment of key rate. Municipal networks, links between data centers, and interconnections of financial infrastructure are all plausible examples of environments in which a streamlined transmitter and a well-understood receiver design could accelerate adoption. The use of a delay interferometer at the intermediary node also connects the scheme to established planar light-wave circuit technology, which Honjo and Inoue used as early as 2004 in a differential-phase-shift QKD experiment, suggesting a realistic path to implementation with mature integrated-optics components. Integrated interferometers of this kind can be fabricated with stable, well-characterized delay imbalances, an advantage over bulk-optics assemblies.

Limitations remain, and the authors are candid about the scope of their work. The security analysis and performance estimates are theoretical; no experimental demonstration accompanies the paper, and translating the four-pulse interference scheme into a working system will require managing interferometer stability, phase drift over long fiber spans, and detector performance — challenges that all distributed-phase-reference protocols share, since even modest phase jitter can erode the visibility on which the key rate depends. The claim of similar distances to conventional twin-field QKD rests on the authors’ own performance estimation, and independent security proofs and experimental validation will be needed before the scheme can be considered on equal footing with the extensively studied decoy-based twin-field protocols. It is also worth noting that the scheme’s security argument, while prohibiting direct measurement attacks by the intermediary, will need to be examined against the full catalog of attacks considered in modern QKD security literature, including collective and coherent attacks and imperfections in the interferometer itself.

Even so, the proposal represents a meaningful conceptual contribution: a demonstration that the twin-field geometry, which transformed long-distance quantum key distribution, can be recombined with differential-quadrature-phase-shift measurement to yield a protocol that is simpler to build and operate without sacrificing reach. If subsequent experiments confirm the projected performance, the quadruplet-field scheme could offer a streamlined alternative for long-haul quantum networks, complementing rather than replacing the decoy-state twin-field systems that currently hold the distance records. For a field where every added component is a potential source of imperfection and cost, a protocol that achieves its security through the structure of interference itself — rather than through layers of source engineering — is a direction worth watching.

Topological edge modes, emerging from the intrinsic properties of the system’s global topology rather than local order parameters, are uniquely robust against a range of perturbations, especially those that respect certain symmetries. Unlike conventional qubits, which are highly susceptible to decoherence via local noise, these modes persist far longer under realistic physical conditions. This robustness stems from how quantum information is encoded nonlocally across the system, effectively shielding it from local disturbances that would otherwise cause rapid fidelity decay.

In this recent study, the authors prepared a logical Bell state using two geometrically adjacent topological edge modes on a superconducting quantum processor. This state, represented as a superposition of joint edge mode configurations, serves as a fundamental resource for quantum communication and computation protocols. The preparation employed targeted local two-qubit gate operations, meticulously engineered to initialize the system directly into this protected subspace.

To probe the longevity and resilience of the logical Bell state, the team explored three distinct coupling regimes: a homogeneous chain where coupling constants were uniform, a dimerized but resonant chain where alternating couplings retained a resonance condition, and a dimerized and off-resonant chain featuring staggered couplings with broken resonance. These regimes allowed the researchers to observe how the interplay of symmetry, coupling strength, and resonance conditions impact the preservation of quantum coherence in real time.

The experimental results revealed a striking hierarchy in the decay dynamics of the logical Bell state. In the uniform coupling scenario, the fidelity—the quantitative measure of how well the state retains its identity—plummeted rapidly to the minimal value of 0.25, effectively indicating maximal mixing and loss of coherence. This rapid decay underscores the vulnerability of quantum information stored in such homogeneous systems to thermal and environmental noise.

Conversely, the dimerized and off-resonant system exhibited dramatically enhanced robustness, with fidelity values sustained close to those observed at near-zero temperatures. This prolonged lifetime signals that off-resonance conditions, combined with dimerization, craft a topological landscape conducive to protecting quantum information by suppressing thermal excitations. The dimerized yet resonant setup occupied an intermediate position, with a fidelity decay rate faster than the off-resonant case but slower than the homogeneous chain, emphasizing the nuanced role of resonance in decoherence processes.

Further insight was gleaned through comprehensive quantum state tomography performed after a 10-unit evolution time. This advanced technique reconstructs the full density matrix of the logical state, enabling a granular view of how quantum coherence and entanglement are preserved or lost. The uniform system’s density matrix collapsed into that of a maximally mixed state—devoid of off-diagonal coherence terms—while the off-resonant system retained significant off-diagonal elements, an unmistakable hallmark of quantum coherence and entanglement.

These findings have profound implications for the practical implementation of quantum memory. Unlike classical bits whose information might be preserved through physical spin polarization at the edges in simpler Ising chains, these topological edge modes afford intrinsic error resilience rooted in symmetry-protected topological order. This protection is particularly formidable as it guards against noise mechanisms that respect the system’s underlying symmetry, a common scenario in realistic quantum processors.

The success of this approach is anchored in its leveraging of “prethermal” strong zero modes — quasiparticles associated with the system’s topological features that commute with the Hamiltonian approximately over extended time scales rather than indefinitely. This prethermal protection, emergent in engineered superconducting chains with tailored couplings, bridges the gap between idealized theoretical models and experimentally realizable quantum devices.

An exciting aspect of the work is its experimental embodiment on state-of-the-art superconducting quantum hardware, showcasing the feasibility of integrating topological error protection in existing quantum computational platforms. By carefully designing the coupling parameters and gate sequences, the team achieved deterministic preparation and probed dynamics that faithfully emulate the behavior of idealized topological chains, thus paving a viable path for scalable quantum error correction.

Moreover, the study highlights that the protection mechanism is effective even at finite physical temperatures, a critical requirement for implementing quantum technologies outside ultracold laboratory conditions. The ability to store quantum states reliably amid thermal excitations provides a realistic path forward for robust quantum memories and fault-tolerant quantum computation architectures.

This experimental advance also differentiates itself from classical digital memories by exploiting the unique quantum phenomenon of entanglement. The logical Bell state formed by the topological edge modes serves not only as a storage medium but also as a resource for distributing entanglement across nodes in future quantum networks, amplifying the broader impact of this research beyond memory lifetimes.

Looking ahead, these results invite further exploration into the interplay between system size, coupling geometry, and environmental noise to fully harness the potential of topologically protected states. Integration with active quantum error correction codes and scalable hardware designs could transform these findings into practical quantum devices capable of tackling classically intractable problems.

In conclusion, the demonstration of long-lived topological edge modes acting as robust quantum memories at finite temperatures is a landmark achievement. It blends fundamental physics and cutting-edge experimental techniques to reveal a promising route for stable quantum information storage, a key stepping stone toward the realization of practical quantum computers and quantum communication systems with unprecedented reliability.

Subject of Research: Long-lived topological edge modes for quantum information storage on superconducting processors

Article Title: Topological prethermal strong zero modes on superconducting processors

Article References:
Jin, F., Jiang, S., Zhu, X. et al. Topological prethermal strong zero modes on superconducting processors. Nature (2025). https://doi.org/10.1038/s41586-025-09476-z