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Quantum discord for the general two-qubit case

Quantum discord for the general two-qubit case Recently, Girolami and Adesso (Phys Rev A 83: 052108, 2011) have demonstrated that the calculation of quantum discord for two-qubit case can be viewed as to solve a pair of transcendental equation. In the present work, we introduce the generalized Choi–Jamiolkowski isomorphism and apply it as a convenient tool for constructing transcendental equations. For the general two-qubit case, we show that the transcendental equations always have a finite set of universal solutions; this result can be viewed as a generalization of the one obtained by Ali et al. (Phys Rev A 81: 042105, 2010). For a subclass of $$X$$ X state, we find the analytical solutions by solving the transcendental equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Quantum discord for the general two-qubit case

Quantum Information Processing , Volume 14 (6) – Mar 31, 2015

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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2015 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
DOI
10.1007/s11128-015-0962-8
Publisher site
See Article on Publisher Site

Abstract

Recently, Girolami and Adesso (Phys Rev A 83: 052108, 2011) have demonstrated that the calculation of quantum discord for two-qubit case can be viewed as to solve a pair of transcendental equation. In the present work, we introduce the generalized Choi–Jamiolkowski isomorphism and apply it as a convenient tool for constructing transcendental equations. For the general two-qubit case, we show that the transcendental equations always have a finite set of universal solutions; this result can be viewed as a generalization of the one obtained by Ali et al. (Phys Rev A 81: 042105, 2010). For a subclass of $$X$$ X state, we find the analytical solutions by solving the transcendental equations.

Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 31, 2015

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