Unveiling the non-Abelian statistics of $D(S_3)$ anyons via photonic simulation
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911204331487232 |
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| author | Goel, Suraj Reynolds, Matthew Girling, Matthew McCutcheon, Will Leedumrongwatthanakun, Saroch Srivastav, Vatshal Jennings, David Malik, Mehul Pachos, Jiannis K. |
| author_facet | Goel, Suraj Reynolds, Matthew Girling, Matthew McCutcheon, Will Leedumrongwatthanakun, Saroch Srivastav, Vatshal Jennings, David Malik, Mehul Pachos, Jiannis K. |
| contents | Simulators can realise 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 $D(S_3)$ non-Abelian anyons with minimal resources. The qudit lattice representation of this planar code supports local encoding of $D(S_3)$ anyons. As a proof-of-principle demonstration we employ a photonic simulator to encode a single qutrit and manipulate it to perform the fusion and braiding properties of non-Abelian $D(S_3)$ anyons. The photonic technology allows us to perform the required non-unitary operations with much higher fidelity than what can be achieved with current quantum computers. Our approach can be directly generalised to larger systems or to different anyonic models, thus enabling advances in the exploration of quantum error correction and fundamental physics alike. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_05286 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unveiling the non-Abelian statistics of $D(S_3)$ anyons via photonic simulation Goel, Suraj Reynolds, Matthew Girling, Matthew McCutcheon, Will Leedumrongwatthanakun, Saroch Srivastav, Vatshal Jennings, David Malik, Mehul Pachos, Jiannis K. Quantum Physics Other Condensed Matter Strongly Correlated Electrons Optics Simulators can realise 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 $D(S_3)$ non-Abelian anyons with minimal resources. The qudit lattice representation of this planar code supports local encoding of $D(S_3)$ anyons. As a proof-of-principle demonstration we employ a photonic simulator to encode a single qutrit and manipulate it to perform the fusion and braiding properties of non-Abelian $D(S_3)$ anyons. The photonic technology allows us to perform the required non-unitary operations with much higher fidelity than what can be achieved with current quantum computers. Our approach can be directly generalised to larger systems or to different anyonic models, thus enabling advances in the exploration of quantum error correction and fundamental physics alike. |
| title | Unveiling the non-Abelian statistics of $D(S_3)$ anyons via photonic simulation |
| topic | Quantum Physics Other Condensed Matter Strongly Correlated Electrons Optics |
| url | https://arxiv.org/abs/2304.05286 |