# Detailed balance as a quantum-group symmetry of Kraus operators

June 01, 2015

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.

open access link
J. Math. Phys. Vol 59, Issue 2, 022107 (2018)

@article{Andersson:2018xeq,
author = "Andersson, Andreas",
title = "{Detailed balance as a quantum-group symmetry of Kraus
operators}",
journal = "J. Math. Phys.",
volume = "59",
year = "2018",
number = "2",
pages = "022107",
doi = "10.1063/1.5023900",
eprint = "1506.00411",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1506.00411;%%"
}

Keywords:

*none*