New monotonicity property of the quantum relative entropy
arXiv:2212.07999 · doi:10.4213/sm10107e
Abstract
It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.
arXiv comment9 pages, preliminary version, any comments are welcome. arXiv admin note: text overlap with arXiv:2205.10341, arXiv:2205.09108
References in corpus (17)
- The Role of Relative Entropy in Quantum Information Theory
- Recoverability in quantum information theory
- The structure of degradable quantum channels
- Universal recovery maps and approximate sufficiency of quantum relative entropy
- Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
- Approximate reversibility in the context of entropy gain, information gain, and complete positivity
- Measures of quantum correlations in infinite-dimensional systems
- Deconstruction and conditional erasure of quantum correlations
- Quantum conditional relative entropy and quasi-factorization of the relative entropy
- Towards a unified approach to information-disturbance tradeoffs in quantum measurements
- Continuity of quantum entropic quantities via almost convexity
- Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation
- On quantum channels and operations preserving finiteness of the von Neumann entropy
- Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma
- On lower semicontinuity of the quantum conditional mutual information and its corollaries
- Correlation measures of a quantum state and information characteristics of a quantum channel
- On the Kullback-Leibler divergence between location-scale densities