Coherence and complementarity based on modified generalized skew information

Zhaoqi Wu, Lin Zhang, Shao-Ming Fei, and Xianqing Li-Jost

Contact the author: Please use for correspondence this email.
Submission date: 19. Jan. 2020 (revised version: March 2020)
Pages: 22
published in: Quantum information processing, 19 (2020) 5, art-no. 154 
DOI number (of the published article): 10.1007/s11128-020-02651-3
Bibtex
PACS-Numbers: 03.65.Ud, 03.67.-a, 03.75.Gg
Keywords and phrases: coherence, complementarity, modified generalized Wigner-Yanase-Dyson skew info, modified weighted generalized Wigner-Yanase-Dyson
Download full preprint: PDF (151 kB)

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.