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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 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.

MiS Preprint
14/2020

Coherence and complementarity based on modified generalized skew information

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

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.

Received:
Jan 19, 2020
Published:
Jan 19, 2020
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

Related publications

inJournal
2020 Repository Open Access
Zhaoqi Wu, Lin Zhang, Shao-Ming Fei and Xianqing Li-Jost

Coherence and complementarity based on modified generalized skew information

In: Quantum information processing, 19 (2020) 5, p. 154