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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
57/2017

Quantum Discord of Rank-2 Two-qubit States

Xue-Na Zhu, Xianqing Li-Jost and Shao-Ming Fei

Abstract

Quantum correlations characterized by quantum entanglement and quantum discord play important roles in many quantum information processing. We study the relations among the entanglement of formation, concurrence, tangle, linear entropy based classical correlation and von Neumann entropy based classical correlation. We present analytical formulae of both linear entropy based and von Neumann entropy based classical correlations for arbitrary $d\times 2$ quantum states. From the von Neumann entropy based classical correlation, we derive an explicit formula of quantum discord for arbitrary rank-2 two-qubit quantum states.

Received:
Aug 15, 2017
Published:
Aug 16, 2017

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Preprint
2017 Repository Open Access
Xue-Na Zhu, Xianqing Li-Jost and Shao-Ming Fei

Quantum discord of rank-2 two-qubit states