Quantum Discord for d ⊗ 2 Systems

Zhi-Hao Ma, Zhi-Hua Chen, Felipe Fernandes Fanchini, and Shao-Ming Fei

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Submission date: 12. Aug. 2015
Pages: 10
published in: Scientific Reports, 5 (2015), art-no. 10262 
DOI number (of the published article): 10.1038/srep10262
Bibtex
PACS-Numbers: 03.67.Mn, 03.65.Ud
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Abstract:
We present an analytical solution for classical correlation, defined in terms of linear entropy, in an arbitrary d ⊗ 2 system when the second subsystem is measured. We show that the optimal measurements used in the maximization of the classical correlation in terms of linear entropy, when used to calculate the quantum discord in terms of von Neumann entropy, result in a tight upper bound for arbitrary d ⊗ 2 systems. This bound agrees with all known analytical results about quantum discord in terms of von Neumann entropy and, when comparing it with the numerical results for 10⁶ two-qubit random density matrices, we obtain an average deviation of order 10⁻⁴. Furthermore, our results give a way to calculate the quantum discord for arbitrary n-qubit GHZ and W states evolving under the action of the amplitude damping noisy channel.