Topological Computation by non-Abelian Braiding in Classical Metamaterials
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913836119883776 |
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| author | Chen, Liyuan Fuertes, Matthew Deng, Bolei |
| author_facet | Chen, Liyuan Fuertes, Matthew Deng, Bolei |
| contents | We propose a realization of the one-dimensional Kitaev topological superconductor in classical mechanical metamaterials. By designing appropriate braiding protocols, we demonstrate that the system's mid-gap vibrational modes, termed classical Majorana zero modes (MZMs), accurately reproduce the braiding statistics predicted by quantum theory. Encoding four MZMs as a classical analog of a qubit, we implement all single-qubit Clifford gates through braiding, enabling the simulation of topological quantum computation in a classical system. Furthermore, we establish the system's topological protection by demonstrating its robustness against mechanical defects. This work provides a novel framework for exploring topological quantum computation using classical metamaterials and offers a pathway to realizing stable vibrational systems protected by topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Computation by non-Abelian Braiding in Classical Metamaterials Chen, Liyuan Fuertes, Matthew Deng, Bolei Mesoscale and Nanoscale Physics Materials Science Applied Physics Quantum Physics We propose a realization of the one-dimensional Kitaev topological superconductor in classical mechanical metamaterials. By designing appropriate braiding protocols, we demonstrate that the system's mid-gap vibrational modes, termed classical Majorana zero modes (MZMs), accurately reproduce the braiding statistics predicted by quantum theory. Encoding four MZMs as a classical analog of a qubit, we implement all single-qubit Clifford gates through braiding, enabling the simulation of topological quantum computation in a classical system. Furthermore, we establish the system's topological protection by demonstrating its robustness against mechanical defects. This work provides a novel framework for exploring topological quantum computation using classical metamaterials and offers a pathway to realizing stable vibrational systems protected by topology. |
| title | Topological Computation by non-Abelian Braiding in Classical Metamaterials |
| topic | Mesoscale and Nanoscale Physics Materials Science Applied Physics Quantum Physics |
| url | https://arxiv.org/abs/2502.16006 |