Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Why entanglement of formation is not generally monogamous
Author: Fanchini, FF
de Oliveira, MC
Castelano, LK
Cornelio, MF
Abstract: Unlike correlation of classical systems, entanglement of quantum systems cannot be distributed at will: if one system A is maximally entangled with another system B, it cannot be entangled at all with a third system C. This concept, known as the monogamy of entanglement, is manifest when the entanglement of A with a pair BC can be divided as contributions of the entanglement between A and B and A and C, plus a term tau(ABC) involving genuine tripartite entanglement and so expected to be always positive. A very important measure in quantum information theory, the entanglement of formation (EOF), fails to satisfy this last requirement. Here we present the reasons for that and show a set of conditions that an arbitrary pure tripartite state must satisfy for the EOF to become a monogamous measure, i.e., for tau(ABC) >= 0. The relation derived is connected to the discrepancy between quantum and classical correlations, tau(ABC) being negative whenever the quantum correlation prevails over the classical one. This result is employed to elucidate features of the distribution of entanglement during a dynamical evolution. It also helps to relate all monogamous instances of the EOF to the squashed entanglement, an entanglement measure that is always monogamous. DOI: 10.1103/PhysRevA.87.032317
Country: EUA
Editor: Amer Physical Soc
Rights: aberto
Identifier DOI: 10.1103/PhysRevA.87.032317
Date Issue: 2013
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.