RIS ID

122177

Publication Details

Andersson, A. (2018). Detailed balance as a quantum-group symmetry of Kraus operators. Journal of Mathematical Physics, 59 (2), 022107-1-022107-21.

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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Link to publisher version (DOI)

http://dx.doi.org/10.1063/1.5023900