Optimal decomposition of incoherent qubit channel
arXiv:1807.01676 · doi:10.1088/1751-8121/aad8c8
Abstract
We show that any incoherent qubit channel could be decomposed into four incoherent Kraus operators. The proof consists in showing existence of four incoherent Kraus operators by decomposing the corresponding Choi-Jamiołkowski-Sudarshan matrix. We mention some applications of this optimal decomposition. We also show that the Kraus rank and incoherent rank are different even for qubit channel.
Invited contribution to special issue on coherence in J. Phys. A; 11 pages, 1 figure; comment(s)/suggestion(s) welcome!