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arXiv · 1506.00411

Detailed balance as a quantum-group symmetry of Kraus operators

Andreas Andersson
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Abstract

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.

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Andreas Andersson. 2015-07-20. Detailed balance as a quantum-group symmetry of Kraus operators. https://doi.org/10.1063/1.5023900

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