A truly useful quantum computer should run any algorithm with the flexibility of an ordinary laptop. Now, researchers have demonstrated a path toward that universality using a rarely explored resource: non-Abelian anyons—exotic quantum excitations whose internal state changes in a way that depends on how they are manipulated. In a new study, physicists report a complete toolkit of operations built from these emergent particles, providing evidence that universal quantum computation can be engineered on real hardware.
The work brings together teams from the University of Chicago Pritzker School of Molecular Engineering, Harvard, Stony Brook University, and Quantinuum. Using non-Abelian anyons encoded across multiple qubits, the researchers show that by moving (braiding) these excitations in carefully chosen patterns—and combining that with additional operations—they can implement the full range of gates needed for arbitrary quantum algorithms.
“We demonstrated a universal gate set,” said Ruben Verresen of UChicago PME, explaining that storing information in these emergent quark-like degrees of freedom and then manipulating them enables essentially any quantum computation. The goal is not just proof that quantum effects can be controlled, but that the control is broad enough to scale into general-purpose computing.
A central motivation is fault tolerance. Conventional quantum error correction protects qubits by spreading information across many physical qubits, but universal gate sets usually require resource-heavy “magic states.” Building those states typically involves distillation procedures that consume significant machine time and qubits—one of the biggest practical costs in leading architectures.
Non-Abelian anyons are naturally attractive because their information is distributed across entangled degrees of freedom, making them comparatively resilient to local noise. Just as importantly, their braiding can function as computation. Yet prior demonstrations using the D4 symmetry group—based on rotations and reflections of a square—showed that braiding alone was not enough to reach full universality.
The new study targets a different symmetry, S3, associated with rotations and mirror flips of an equilateral triangle. On Quantinuum’s H2 trapped-ion processor, the team entangled 54 qubits to realize S3-based anyons. Crucially, the researchers show that universality emerges only when braiding is paired with fusion, a measurement-like operation where two anyons are merged and the outcome is read out.
To benchmark the approach, the team encoded information in “topological qutrits,” which use three quantum levels rather than the two levels of ordinary qubits. Braiding produced an entangling operation, while fusion generated distinct measurement operations; together, these components can in principle synthesize any quantum transformation, including gates unreachable by braiding alone. The protocol also enables preparation of a magic state directly via topological operations, potentially avoiding expensive distillation.
In the current results, the researchers did not perform active error correction. Instead, they verified key building blocks and confirmed that a magic state produced through anyon-based procedures matches theoretical expectations. “So far, we’ve ignored the question of error correction,” Verresen said—framing the work as a proof of principle.
The next step is to integrate this anyon-based approach with error correction to move from demonstrated primitives to scalable, fault-tolerant computation. Verresen and collaborators are already exploring methods to stabilize non-Abelian quantum memories, aiming to make this “dark horse” architecture practical for large-scale quantum machines.
Subject of Research: Universal quantum computation with non-Abelian anyons (braiding and fusion) and implications for fault-tolerant quantum error correction
Article Title: Universal gates from braiding and fusing anyons on quantum hardware
News Publication Date: 15-Jul-2026
Web References: https://www.nature.com/articles/s41586-026-10709-y
References: Lo et al., Nature (July 15, 2026). DOI: 10.1038/s41586-026-10709-y
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Keywords: quantum computing; non-Abelian anyons; topological qutrits; universal gate set; quantum error correction; braiding and fusion; trapped-ion processor
