Maximally discordant separable two-qubit $$X$$ X states

Maximally discordant separable two-qubit $$X$$ X states In a recent article, Gharibian (Phys Rev A 86:042106 2012) has conjectured that no two-qubit separable state of rank greater than two could be maximally non-classical (defined to be those which have normalized geometric discord 1/4) and asked for an analytic proof. In this work, we prove analytically that among the subclass of $$X$$ X states, there is a unique (up to local unitary equivalence) maximal separable state of rank two. For the general case, we derive some necessary conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Maximally discordant separable two-qubit $$X$$ X states

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0865-0
Publisher site
See Article on Publisher Site

Abstract

In a recent article, Gharibian (Phys Rev A 86:042106 2012) has conjectured that no two-qubit separable state of rank greater than two could be maximally non-classical (defined to be those which have normalized geometric discord 1/4) and asked for an analytic proof. In this work, we prove analytically that among the subclass of $$X$$ X states, there is a unique (up to local unitary equivalence) maximal separable state of rank two. For the general case, we derive some necessary conditions.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 31, 2014

References

  • Geometric measure of quantum discord
    Luo, S; Fu, S
  • Correlated multipartite quantum states
    Batle, J; Casas, M; Plastino, A
  • Extremal quantum correlations: experimental study with two-qubit states
    Chiuri, A; Vallone, G; Paternostro, M; Mataloni, P
  • Violating Bell inequality by mixed spin- $$1/2$$ 1 / 2 states: necessary and sufficient condition
    Horodecki, R; Horodecki, M; Horodecki, P

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