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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
71/2018

Analytical Expression of Quantum Discord for 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 linear entropy based classical correlation for arbitrary $d\otimes 2$ quantum states and von Neumann entropy based classical correlation for arbitrary $2\otimes 2$ rank-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:
20.08.18
Published:
28.08.18

Related publications

inJournal
2018 Repository Open Access
Xue-Na Zhu, Shao-Ming Fei and Xianqing Li-Jost

Analytical expression of quantum discord for rank-2 two-qubit states

In: Quantum information processing, 17 (2018) 9, p. 234