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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.06047 |
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| _version_ | 1866910695051755520 |
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| author | Bailey, Rachel Costa, Sara Derevyagin, Maxim Findley, Caleb Zuang, Kai |
| author_facet | Bailey, Rachel Costa, Sara Derevyagin, Maxim Findley, Caleb Zuang, Kai |
| contents | In this paper we show how to construct 1D Hamiltonians, that is, Jacobi matrices, that realize perfect quantum state transfer and also have the property that the overlap of the time evolved state with the initial state is zero for some time before the transfer time. If the latter takes place we call it an early exclusion state. We also show that in some case early state exclusion is impossible. The proofs rely on properties of Krawtchouk and Chebyshev polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jacobi matrices that realize perfect quantum state transfer and early state exclusion Bailey, Rachel Costa, Sara Derevyagin, Maxim Findley, Caleb Zuang, Kai Quantum Physics Mathematical Physics Spectral Theory Primary 15A29, 81P45, Secondary 47B36, 33C45 In this paper we show how to construct 1D Hamiltonians, that is, Jacobi matrices, that realize perfect quantum state transfer and also have the property that the overlap of the time evolved state with the initial state is zero for some time before the transfer time. If the latter takes place we call it an early exclusion state. We also show that in some case early state exclusion is impossible. The proofs rely on properties of Krawtchouk and Chebyshev polynomials. |
| title | Jacobi matrices that realize perfect quantum state transfer and early state exclusion |
| topic | Quantum Physics Mathematical Physics Spectral Theory Primary 15A29, 81P45, Secondary 47B36, 33C45 |
| url | https://arxiv.org/abs/2411.06047 |