A note on one-way quantum deficit and quantum discord

Biao-Liang Ye and Shao-Ming Fei

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Submission date: 20. Jan. 2016
Pages: 14
published in: Quantum information processing, 15 (2016) 1, p. 279-289 
DOI number (of the published article): 10.1007/s11128-015-1180-0
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Abstract:
One-way quantum deficit and quantum discord are two important measures of quantum correlations. We revisit the relationship between them in two-qubit systems. We investigate the conditions that both one-way quantum deficit and quantum discord have the same optimal measurement ensembles, and demonstrate that one-way quantum deficit can be derived from the quantum discord for a class of X states. Moreover, we give an explicit relation between one-way quantum deficit and entanglement of formation. We show that under phase damping channel both one-way quantum deficit and quantum discord evolve exactly in the same way for four parameter X states. Some examples are presented in details.