Parameterized coherence measure
- URL: http://arxiv.org/abs/2306.11973v1
- Date: Wed, 21 Jun 2023 01:59:54 GMT
- Title: Parameterized coherence measure
- Authors: Meng-Li Guo, Zhi-Xiang Jin, Jin-Min Liang, Bo Li, and Shao-Ming Fei
- Abstract summary: 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.
- Score: 4.536603451832357
- License: http://creativecommons.org/licenses/by/4.0/
- 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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