Study on Non-Commutativity Measure of Quantum Discord

Jin Liang and Chengwei Zhang
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Jin Liang: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
Chengwei Zhang: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Mathematics, 2019, vol. 7, issue 6, 1-8

Abstract: In this paper, we are concerned with the non-commutativity measure of quantum discord. We first present an explicit expression of the non-commutativity measure of quantum discord in the two-qubit case. Then we compare the geometric quantum discords for two dynamic models with their non-commutativity measure of quantum discords. Furthermore, we show that the results conducted by the non-commutativity measure of quantum discord are different from those conducted by both or one of the Hilbert-Schmidt distance discord and trace distance discord. These intrinsic differences indicate that the non-commutativity measure of quantum discord is incompatible with at least one of the well-known geometric quantum discords in the quantitative and qualitative representation of quantum correlations.

Keywords: quantum discord; non-commutativity measure; dynamic models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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