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Operator monotones, the reduction criterion and the relative entropy

M. B. Plenio·S. Virmani·P. Papadopoulos
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Abstract

We introduce the theory of operator monotone functions and employ it to derive a new inequality relating the quantum relative entropy and the quantum conditional entropy. We present applications of this new inequality and in particular we prove a new lower bound on the relative entropy of entanglement and other properties of entanglement measures.

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M. B. Plenio, S. Virmani, P. Papadopoulos. 2000-05-04. Operator monotones, the reduction criterion and the relative entropy. https://doi.org/10.1088/0305-4470%2F33%2F22%2F101

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