Quantum Pair State Transfer on Isomorphic Branches
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910731836850176 |
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| author | Pal, Hiranmoy Mohapatra, Sarojini |
| author_facet | Pal, Hiranmoy Mohapatra, Sarojini |
| contents | The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg $XY$ Hamiltonian, depends solely on the local structure, and it remains unaffected even if the global structure is altered. All graphs which enable high-fidelity vertex state transfer can be considered as isomorphic branches of a quantum network to exhibit high-fidelity pair state transfer. The results are used to unveil the existence of pair state transfer in various graphs, including paths, cycles, and others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Pair State Transfer on Isomorphic Branches Pal, Hiranmoy Mohapatra, Sarojini Quantum Physics Combinatorics 15A16, 05C50, 12F10, 81P45 The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg $XY$ Hamiltonian, depends solely on the local structure, and it remains unaffected even if the global structure is altered. All graphs which enable high-fidelity vertex state transfer can be considered as isomorphic branches of a quantum network to exhibit high-fidelity pair state transfer. The results are used to unveil the existence of pair state transfer in various graphs, including paths, cycles, and others. |
| title | Quantum Pair State Transfer on Isomorphic Branches |
| topic | Quantum Physics Combinatorics 15A16, 05C50, 12F10, 81P45 |
| url | https://arxiv.org/abs/2402.07078 |