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We have decided to discontinue the publication of preprints on our preprint server end of 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.
Coherence and complementarity based on modified generalized skew information
Zhaoqi Wu, Lin Zhang, Shao-Ming Fei and Xianqing Li-JostAbstract
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.
- Received:
- 19.01.20
- Published:
- 19.01.20
- PACS:
- 03.65.Ud, 03.67.-a, 03.75.Gg
- Keywords:
- coherence, complementarity, modified generalized Wigner-Yanase-Dyson skew info, modified weighted generalized Wigner-Yanase-Dyson