Monotonicity of quantum relative entropy revisited

Details Monotonicity of quantum relative entropy revisited Monotonicity of quantum relative entropy revisited

2002-09-06

arxiv.org/abs/quant-ph/0209053v1

Rev. Math. Phys. 15(2003), 79--91.

Physics

Quantum Physics

13 pages, LATEX file

Scientific paper

10.1142/S0129055X03001576

Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate the condition of equality in the monotonicity theorem and in its consequences such as the strong sub-additivity of the von Neumann entropy, the Golden-Thompson trace inequality and the monotonicity of the Holevo quantity.The relation to quantum Markovian states is briefly indicated.

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