Detailed balance as a quantum-group symmetry of Kraus operators

Andreas Andersson
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;%%" }