Coherence and complementarity based on modified generalized skew information

• URL: http://arxiv.org/abs/2004.11586v1
• Date: Fri, 24 Apr 2020 08:00:11 GMT
• Title: Coherence and complementarity based on modified generalized skew information
• Authors: Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost
• Abstract summary: We introduce modified generalized Wigner-Yanase-Dyson (MG WYD) skew information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew information. By revisiting state-channel interaction based on MG WYD skew information, a family of coherence measures with respect to quantum channels is proposed.
• Score: 3.7298088649201353
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew information. By revisiting state-channel interaction based on MGWYD skew information, a family of coherence measures with respect to quantum channels is proposed. Furthermore, explicit analytical expressions of these coherence measures of qubit states are derived with respect to different quantum channels. Moreover, complementarity relations based on MGWYD skew information and MWGWYD skew information are also presented. Specifically, the conservation relations are investigated, while two interpretations of them including symmetry-asymmetry complementarity and wave-particle duality have been proposed.

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