New monotonicity property of the quantum relative entropy
M. E. Shirokov
TL;DR
This paper proves that the local discontinuity jumps of quantum relative entropy are non-increasing under quantum channels and operations, revealing a fundamental stability property of quantum information measures.
Contribution
It introduces a new monotonicity property of quantum relative entropy's local discontinuity jumps under quantum channels.
Findings
Discontinuity jumps do not increase under quantum channels
Quantum relative entropy exhibits a stability property
Provides insight into quantum information measure behavior
Abstract
It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy