Quantum detailed balance via elementary transitions
Quantum detailed balance is formulated in terms of elementary transitions, in close analogy to detailed balance in a classical Markov chain on a finite set of points. An elementary transition is taken to be a pure state of two copies of the quantum system, as a quantum analogue of an ordered pair of...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-05-15-1743/pdf/ |
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| _version_ | 1849322092471779328 |
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| author | Rocco Duvenhage Kyle Oerder Keagan van den Heuvel |
| author_facet | Rocco Duvenhage Kyle Oerder Keagan van den Heuvel |
| author_sort | Rocco Duvenhage |
| collection | DOAJ |
| description | Quantum detailed balance is formulated in terms of elementary transitions, in close analogy to detailed balance in a classical Markov chain on a finite set of points. An elementary transition is taken to be a pure state of two copies of the quantum system, as a quantum analogue of an ordered pair of classical points representing a classical transition from the first to the second point. This form of quantum detailed balance is shown to be equivalent to standard quantum detailed balance with respect to a reversing operation, thus providing a new conceptual foundation for the latter. Aspects of parity in quantum detailed balance are clarified in the process. The connection with the Accardi-Cecchini dual and the KMS dual (or Petz recovery map) is also elucidated. |
| format | Article |
| id | doaj-art-e26e5b2408b44312b3bb325032fd275a |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-e26e5b2408b44312b3bb325032fd275a2025-08-20T03:49:32ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019174310.22331/q-2025-05-15-174310.22331/q-2025-05-15-1743Quantum detailed balance via elementary transitionsRocco DuvenhageKyle OerderKeagan van den HeuvelQuantum detailed balance is formulated in terms of elementary transitions, in close analogy to detailed balance in a classical Markov chain on a finite set of points. An elementary transition is taken to be a pure state of two copies of the quantum system, as a quantum analogue of an ordered pair of classical points representing a classical transition from the first to the second point. This form of quantum detailed balance is shown to be equivalent to standard quantum detailed balance with respect to a reversing operation, thus providing a new conceptual foundation for the latter. Aspects of parity in quantum detailed balance are clarified in the process. The connection with the Accardi-Cecchini dual and the KMS dual (or Petz recovery map) is also elucidated.https://quantum-journal.org/papers/q-2025-05-15-1743/pdf/ |
| spellingShingle | Rocco Duvenhage Kyle Oerder Keagan van den Heuvel Quantum detailed balance via elementary transitions Quantum |
| title | Quantum detailed balance via elementary transitions |
| title_full | Quantum detailed balance via elementary transitions |
| title_fullStr | Quantum detailed balance via elementary transitions |
| title_full_unstemmed | Quantum detailed balance via elementary transitions |
| title_short | Quantum detailed balance via elementary transitions |
| title_sort | quantum detailed balance via elementary transitions |
| url | https://quantum-journal.org/papers/q-2025-05-15-1743/pdf/ |
| work_keys_str_mv | AT roccoduvenhage quantumdetailedbalanceviaelementarytransitions AT kyleoerder quantumdetailedbalanceviaelementarytransitions AT keaganvandenheuvel quantumdetailedbalanceviaelementarytransitions |