Operator monotones, the reduction criterion and the relative entropy
Martin Bodo Plenio, S. Virmani, Panayiotis Papadopoulos · CERN Document Server (European Organization for Nuclear Research) · 2000
We introduce the theory of operator monotone functions and employ it toderive a new inequality relating the quantum relative entropy and the quantumconditional entropy. We present applications of this new inequality and inparticular we prove a new lower bound on the relative entropy of entanglementand other properties of entanglement measures.