Remainder Terms for Some Quantum Entropy Inequalities

Published 16 Feb 2014 in quant-ph, math-ph, math.MP, and math.OA | (1402.3840v2)

Abstract: 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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