Operator monotones, the reduction criterion and the relative entropy

Authors
Plenio, MB Virmani, S Papadopoulos, P
Citation
Mb. Plenio et al., Operator monotones, the reduction criterion and the relative entropy, J PHYS A, 33(22), 2000, pp. L193-L197
Citations number
31
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
22
Year of publication
2000
Pages
L193 - L197
Database
ISI
SICI code
0305-4470(20000609)33:22<L193:OMTRCA>2.0.ZU;2-6
Abstract
We introduce the theory of operator monotone functions and employ it to der ive 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 entangle ment and other properties of entanglement measures.