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Study on Non-Commutativity Measure of Quantum Discord

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jin Liang & Chengwei Zhang, 2019. "Study on Non-Commutativity Measure of Quantum Discord," Mathematics, MDPI, vol. 7(6), pages 1-8, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:543-:d:239937
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