Remainder Terms for Some Quantum Entropy Inequalities
classification
🪐 quant-ph
math-phmath.MPmath.OA
keywords
entropyequalityinequalitiesinequalitypinskerrelativesomeaway
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We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.
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