On the classicality of quantum dephasing processes
We analyze the multitime statistics associated with pure dephasing systems repeatedly probed with sharp measurements, and search for measurement protocols whose statistics satisfy the Kolmogorov consistency conditions possibly up to a finite order. We find a rich phenomenology of quantum dephasing p...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-12-01
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| Series: | Frontiers in Quantum Science and Technology |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/frqst.2022.1090022/full |
| _version_ | 1797392492813877248 |
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| author | Davide Lonigro Davide Lonigro Dariusz Chruściński |
| author_facet | Davide Lonigro Davide Lonigro Dariusz Chruściński |
| author_sort | Davide Lonigro |
| collection | DOAJ |
| description | We analyze the multitime statistics associated with pure dephasing systems repeatedly probed with sharp measurements, and search for measurement protocols whose statistics satisfy the Kolmogorov consistency conditions possibly up to a finite order. We find a rich phenomenology of quantum dephasing processes which can be interpreted in classical terms. In particular, if the underlying dephasing process is Markovian, we find sufficient conditions under which classicality at every order can be found: this can be reached by choosing the dephasing and measurement basis to be fully compatible or fully incompatible, that is, mutually unbiased bases (MUBs). For non-Markovian processes, classicality can only be proven in the fully compatible case, thus revealing a key difference between Markovian and non-Markovian pure dephasing processes. |
| first_indexed | 2024-03-08T23:48:10Z |
| format | Article |
| id | doaj.art-d4525b45c3f645799c8c60b5f8c99de1 |
| institution | Directory Open Access Journal |
| issn | 2813-2181 |
| language | English |
| last_indexed | 2024-03-08T23:48:10Z |
| publishDate | 2022-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Quantum Science and Technology |
| spelling | doaj.art-d4525b45c3f645799c8c60b5f8c99de12023-12-13T15:32:24ZengFrontiers Media S.A.Frontiers in Quantum Science and Technology2813-21812022-12-01110.3389/frqst.2022.10900221090022On the classicality of quantum dephasing processesDavide Lonigro0Davide Lonigro1Dariusz Chruściński2INFN, Sezione di Bari, Bari, ItalyInstitute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Toruń, PolandDipartimento di Fisica and MECENAS, Università di Bari, Bari, ItalyWe analyze the multitime statistics associated with pure dephasing systems repeatedly probed with sharp measurements, and search for measurement protocols whose statistics satisfy the Kolmogorov consistency conditions possibly up to a finite order. We find a rich phenomenology of quantum dephasing processes which can be interpreted in classical terms. In particular, if the underlying dephasing process is Markovian, we find sufficient conditions under which classicality at every order can be found: this can be reached by choosing the dephasing and measurement basis to be fully compatible or fully incompatible, that is, mutually unbiased bases (MUBs). For non-Markovian processes, classicality can only be proven in the fully compatible case, thus revealing a key difference between Markovian and non-Markovian pure dephasing processes.https://www.frontiersin.org/articles/10.3389/frqst.2022.1090022/fullclassical stochastic processesquantum processesquantum dephasingquantum decoherenceKolmogorov conditionsMarkovian processes |
| spellingShingle | Davide Lonigro Davide Lonigro Dariusz Chruściński On the classicality of quantum dephasing processes Frontiers in Quantum Science and Technology classical stochastic processes quantum processes quantum dephasing quantum decoherence Kolmogorov conditions Markovian processes |
| title | On the classicality of quantum dephasing processes |
| title_full | On the classicality of quantum dephasing processes |
| title_fullStr | On the classicality of quantum dephasing processes |
| title_full_unstemmed | On the classicality of quantum dephasing processes |
| title_short | On the classicality of quantum dephasing processes |
| title_sort | on the classicality of quantum dephasing processes |
| topic | classical stochastic processes quantum processes quantum dephasing quantum decoherence Kolmogorov conditions Markovian processes |
| url | https://www.frontiersin.org/articles/10.3389/frqst.2022.1090022/full |
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