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Quantum Foundations

Quantum detailed balance via elementary transitions

arXiv
Authors: Rocco Duvenhage, Kyle Oerder, Keagan van den Heuvel

Year

2024

Paper ID

37256

Status

Preprint

Abstract Read

~2 min

Abstract Words

126

Citations

N/A

Abstract

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.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2411.02339 [2] arXiv https://arxiv.org/abs/2411.02339 [3] Publisher https://arxiv.org/abs/2411.02339

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