Detailed balance as a quantum-group symmetry of Kraus operators

作者:Andersson Andreas*
来源:Journal of Mathematical Physics, 2018, 59(2): 022107.
DOI:10.1063/1.5023900

摘要

A unital completely positive map governing the time evolution of a quantum system is usually called a quantum channel, and it can be represented by a tuple of operators which are then referred to as the Kraus operators of the channel. We look at states of the system whose correlations with respect to the channel have a certain symmetry. Then we show that detailed balance holds if the Kraus operators satisfy a very interesting algebraic relation which plays an important role in the representation theory of any compact quantum group. Published by AIP Publishing.

  • 出版日期2018-2

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