Quantum discord and geometry for a class of two-qubit states
Bo Li, Zhi-Xi Wang, Shao-Ming Fei

TL;DR
This paper analyzes the geometric structure of quantum discord in specific two-qubit states and investigates how quantum correlations evolve under decoherence, revealing sudden transitions and new structural insights.
Contribution
It introduces a detailed geometric analysis of quantum discord for a class of two-qubit states and explores their dynamic behavior under decoherence, including sudden transitions.
Findings
Quantum discord level surfaces are characterized for certain two-qubit states.
A class of X states exhibits sudden transition between classical and quantum correlations.
The results generalize previous findings and reveal new structures of quantum discord.
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.
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