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| Format: | Preprint |
| Published: |
2023
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| Online Access: | https://arxiv.org/abs/2304.13408 |
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| _version_ | 1866910707519324160 |
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| author | Sugimoto, Takanori |
| author_facet | Sugimoto, Takanori |
| contents | Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of topological phenomena within actual quantum computing platforms is essential. However, existing quantum-circuit algorithms to examine topological properties remain limited. Here we introduce three quantum-circuit algorithms designed to (i) determine the ground state within a specified parity subspace, (ii) identify the many-body topological invariant, and (iii) visualize zero-energy edge modes. We illustrate these algorithms with the interacting Kitaev chain, a typical model of one-dimensional topological superconductors. These approaches are versatile, extending beyond one-dimensional systems to various topological states, including those in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_13408 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum-circuit algorithms for many-body topological invariant and Majorana zero mode Sugimoto, Takanori Quantum Physics Strongly Correlated Electrons Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of topological phenomena within actual quantum computing platforms is essential. However, existing quantum-circuit algorithms to examine topological properties remain limited. Here we introduce three quantum-circuit algorithms designed to (i) determine the ground state within a specified parity subspace, (ii) identify the many-body topological invariant, and (iii) visualize zero-energy edge modes. We illustrate these algorithms with the interacting Kitaev chain, a typical model of one-dimensional topological superconductors. These approaches are versatile, extending beyond one-dimensional systems to various topological states, including those in higher dimensions. |
| title | Quantum-circuit algorithms for many-body topological invariant and Majorana zero mode |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2304.13408 |