Assessing non-Markovian dynamics through moments of the Choi state
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913249241333760 |
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| author | Mallick, Bivas Mukherjee, Saheli Maity, Ananda G. Majumdar, A. S. |
| author_facet | Mallick, Bivas Mukherjee, Saheli Maity, Ananda G. Majumdar, A. S. |
| contents | Non-Markovian effects in open quantum system dynamics usually manifest backflow of information from the environment to the system, indicating complete-positive divisibility breaking of the dynamics. We provide a criterion for witnessing such non-Markovian dynamics exhibiting information backflow, based on the moments of Choi-matrices. The moment condition determined by the positive semi-definiteness of a matrix, does not hold for a Choi-state describing non-Markovian dynamics. We then present some explicit examples in support of our proposed non-Markovianity detection scheme. Finally, a moment based measure of non-Markovianity for unital dynamics is formulated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03615 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Assessing non-Markovian dynamics through moments of the Choi state Mallick, Bivas Mukherjee, Saheli Maity, Ananda G. Majumdar, A. S. Quantum Physics Non-Markovian effects in open quantum system dynamics usually manifest backflow of information from the environment to the system, indicating complete-positive divisibility breaking of the dynamics. We provide a criterion for witnessing such non-Markovian dynamics exhibiting information backflow, based on the moments of Choi-matrices. The moment condition determined by the positive semi-definiteness of a matrix, does not hold for a Choi-state describing non-Markovian dynamics. We then present some explicit examples in support of our proposed non-Markovianity detection scheme. Finally, a moment based measure of non-Markovianity for unital dynamics is formulated. |
| title | Assessing non-Markovian dynamics through moments of the Choi state |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2303.03615 |