Unveiling the Non-Abelian Statistics of D(S3) Anyons Using a Classical Photonic Simulator

Suraj Goel, Matthew Reynolds, Matthew Girling, Will McCutcheon, Saroch Leedumrongwatthanakun, Vatshal Srivastav, David Jennings, Mehul Malik, Jiannis K. Pachos

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Abstract

Simulators can realize novel phenomena by separating them from the complexities of a full physical implementation. Here, we put forward a scheme that can simulate the exotic statistics of D(S3) non-Abelian anyons with minimal resources. The qudit lattice representation of this planar code supports local encoding of D(S3) anyons. As a proof-of-principle demonstration, we employ a classical photonic simulator to encode a single qutrit and manipulate it to perform the fusion and braiding properties of non-Abelian D(S3) anyons. The photonic technology allows us to perform the required nonunitary operations with much higher fidelity than what can be achieved with current quantum computers. Our approach can be directly generalized to larger systems or to different anyonic models, thus enabling advances in the exploration of quantum error correction and fundamental physics alike.

Original languageEnglish
Article number110601
JournalPhysical Review Letters
Volume132
Issue number11
Early online date13 Mar 2024
DOIs
Publication statusPublished - 15 Mar 2024

ASJC Scopus subject areas

  • General Physics and Astronomy

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