Next Article in Journal
Evolutionary Voluntary Prisoner’s Dilemma Game under Deterministic and Stochastic Dynamics
Next Article in Special Issue
Generalized Remote Preparation of Arbitrary m-qubit Entangled States via Genuine Entanglements
Previous Article in Journal
A Fundamental Scale of Descriptions for Analyzing Information Content of Communication Systems
Previous Article in Special Issue
Do Transitive Preferences Always Result in Indifferent Divisions?
Article Menu

Export Article

Open AccessArticle
Entropy 2015, 17(4), 1634-1659;

Quantum Discord and Information Deficit in Spin Chains

Departamento de Física-IFLP, Universidad Nacional de La Plata, C.C.67, La Plata 1900, Argentina
Author to whom correspondence should be addressed.
Academic Editors: Demosthenes Ellinas, Giorgio Kaniadakis, Jiannis Pachos and Antonio M. Scarfone
Received: 14 January 2015 / Revised: 19 March 2015 / Accepted: 19 March 2015 / Published: 26 March 2015
(This article belongs to the Special Issue Quantum Computation and Information: Multi-Particle Aspects)
View Full-Text   |   Download PDF [657 KB, uploaded 27 March 2015]


We examine the behavior of quantum correlations of spin pairs in a finite anisotropic XY spin chain immersed in a transverse magnetic field, through the analysis of the quantum discord and the conventional and quadratic one-way information deficits. We first provide a brief review of these measures, showing that the last ones can be obtained as particular cases of a generalized information deficit based on general entropic forms. All of these measures coincide with an entanglement entropy in the case of pure states, but can be non-zero in separable mixed states, vanishing just for classically correlated states. It is then shown that their behavior in the exact ground state of the chain exhibits similar features, deviating significantly from that of the pair entanglement below the critical field. In contrast with entanglement, they reach full range in this region, becoming independent of the pair separation and coupling range in the immediate vicinity of the factorizing field. It is also shown, however, that significant differences between the quantum discord and the information deficits arise in the local minimizing measurement that defines them. Both analytical and numerical results are provided. View Full-Text
Keywords: quantum correlations; entropic measures; quantum discord; information deficit; spin systems quantum correlations; entropic measures; quantum discord; information deficit; spin systems
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Canosa, N.; Ciliberti, L.; Rossignoli, R. Quantum Discord and Information Deficit in Spin Chains. Entropy 2015, 17, 1634-1659.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top