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Title: Global quantum discord in multipartite systems

Abstract

We propose a global measure for quantum correlations in multipartite systems, which is obtained by suitably recasting the quantum discord in terms of relative entropy and local von Neumann measurements. The measure is symmetric with respect to subsystem exchange and is shown to be nonnegative for an arbitrary state. As an illustration, we consider tripartite correlations in the Werner-GHZ (Greenberger-Horne-Zeilinger) state and multipartite correlations at quantum criticality. In particular, in contrast with the pairwise quantum discord, we show that the global quantum discord is able to characterize the infinite-order quantum phase transition in the Ashkin-Teller spin chain.

Authors:
;  [1]
  1. Instituto de Fisica, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoata, 24210-346 Niteroi, RJ (Brazil)
Publication Date:
OSTI Identifier:
22080325
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 4; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; PHASE TRANSFORMATIONS; QUANTUM STATES; SPIN; SYMMETRY

Citation Formats

Rulli, C C, and Sarandy, M S. Global quantum discord in multipartite systems. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.042109.
Rulli, C C, & Sarandy, M S. Global quantum discord in multipartite systems. United States. https://doi.org/10.1103/PHYSREVA.84.042109
Rulli, C C, and Sarandy, M S. 2011. "Global quantum discord in multipartite systems". United States. https://doi.org/10.1103/PHYSREVA.84.042109.
@article{osti_22080325,
title = {Global quantum discord in multipartite systems},
author = {Rulli, C C and Sarandy, M S},
abstractNote = {We propose a global measure for quantum correlations in multipartite systems, which is obtained by suitably recasting the quantum discord in terms of relative entropy and local von Neumann measurements. The measure is symmetric with respect to subsystem exchange and is shown to be nonnegative for an arbitrary state. As an illustration, we consider tripartite correlations in the Werner-GHZ (Greenberger-Horne-Zeilinger) state and multipartite correlations at quantum criticality. In particular, in contrast with the pairwise quantum discord, we show that the global quantum discord is able to characterize the infinite-order quantum phase transition in the Ashkin-Teller spin chain.},
doi = {10.1103/PHYSREVA.84.042109},
url = {https://www.osti.gov/biblio/22080325}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 84,
place = {United States},
year = {Sat Oct 15 00:00:00 EDT 2011},
month = {Sat Oct 15 00:00:00 EDT 2011}
}