Quantum discord and geometry for a class of two-qubit states

Bo Li, Zhi-Xi Wang, and Shao-Ming Fei

Phys. Rev. A 83, 022321 – Published 22 February 2011

Abstract

We study the level surfaces of quantum discord for a class of two-qubit states with parallel nonzero Bloch vectors. The dynamic behavior of quantum discord under decoherence is investigated. It is shown that a class of $X$ states has sudden transition between classical and quantum correlations under decoherence. Our results include the ones in M. D. Lang and C. M. Caves [Phys. Rev. Lett. 105, 150501 (2010)] as a special case and show new pictures and structures of quantum discord.

Received 19 December 2010

DOI:https://doi.org/10.1103/PhysRevA.83.022321

Authors & Affiliations

Bo Li^1,2, Zhi-Xi Wang¹, and Shao-Ming Fei^1,3

¹School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
²Department of Mathematics and Computer, Shangrao Normal University, Shangrao 334001, China
³Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany

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Vol. 83, Iss. 2 — February 2011

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