New monotonicity property of the quantum relative entropy

Abstract

It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.

9 pages, preliminary version, any comments are welcome. arXiv admin note: text overlap with arXiv:2205.10341, arXiv:2205.09108

References in corpus (5)

• The structure of degradable quantum channels
• Towards a unified approach to information-disturbance tradeoffs in quantum measurements
• Continuity of quantum entropic quantities via almost convexity
• Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma
• Correlation measures of a quantum state and information characteristics of a quantum channel