期刊
FRONTIERS IN PHYSICS
卷 10, 期 -, 页码 -出版社
FRONTIERS MEDIA SA
DOI: 10.3389/fphy.2022.955786
关键词
coherent states; nonclassicality; operator ordering sensitivity; convexity; Wigner-Yanase skew information
资金
- Fundamental Research Funds for the Central Universities [FRF-TP-19-012A3]
- National Natural Science Foundation of China [11875317]
- China Postdoctoral Science Foundation [2021M690414]
- Beijing Postdoctoral Research Foundation [2021ZZ091]
- National Key R&D Program of China [2020YFA0712700]
This study demonstrates that a recently introduced nonclassicality measure lacks convexity, but proposes a convex measure of nonclassicality through its connection with convex Wigner-Yanase skew information.
In quantum optics, nonclassicality in the sense of Glauber-Sudarshan is a valuable resource related to the quantum aspect of photons. A desirable and intuitive requirement for a consistent measure of nonclassicality is convexity: Classical mixing should not increase nonclassicality. We show that the recently introduced nonclassicality measure [Phys. Rev. Lett. 122, 080402 (2019)] is not convex. This nonclassicality measure is defined via operator ordering sensitivity, which is an interesting and significant probe (witness) of nonclassicality without convexity but can be intrinsically connected to the convex Wigner-Yanase skew information [Proc. Nat. Acad. Sci. United States 49, 910 (1963)] via the square root operation on quantum states. Motivated by the Wigner-Yanase skew information, we also propose a faithful measure of nonclassicality, although it cannot be readily computed, it is convex.
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