Operator monotones, the reduction criterion and the relative entropy

Details Operator monotones, the reduction criterion and the relative entropy Operator monotones, the reduction criterion and the relative entropy

2000-02-25

arxiv.org/abs/quant-ph/0002075v2

Journal of Physics A 33, L193-197 (2000)

Physics

Quantum Physics

Final version accepted for publication, added references in reference [1] and [13]

Scientific paper

10.1088/0305-4470/33/22/101

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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