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arXiv · 2306.11973

Parameterized coherence measure

Meng-Li Guo·Zhi-Xiang Jin·Jin-Min Liang·Bo Li·Shao-Ming Fei
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Abstract

Quantifying coherence is an essential endeavor for both quantum mechanical foundations and quantum technologies. We present a bona fide measure of quantum coherence by utilizing the Tsallis relative operator $(\alpha, \beta)$-entropy. We first prove that the proposed coherence measure fulfills all the criteria of a well defined coherence measure, including the strong monotonicity in the resource theories of quantum coherence. We then study the ordering of the Tsallis relative operator $(\alpha, \beta)$-entropy of coherence, Tsallis relative $\alpha$-entropies of coherence, R\'{e}nyi $\alpha$-entropy of coherence and $l_{1}$ norm of coherence for both pure and mixed qubit states. This provides a new method for defining new coherence measure and entanglement measure, and also provides a new idea for further study of quantum coherence.

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Meng-Li Guo, Zhi-Xiang Jin, Jin-Min Liang, Bo Li, Shao-Ming Fei. 2023-06-21. Parameterized coherence measure. https://doi.org/10.1016/j.rinp.2023.106611

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