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arXiv · 2404.00637

Imaginarity measures induced by relative entropy

Xiangyu Chen·Qiang Lei
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Abstract

In this paper, we introduce two measures for the resource theory of imaginarity. One is induced by $\alpha$--$z$--R\'enyi relative entropy and the other, defined for positive definite density matrices, is induced by Tsallis relative operator entropy. The relationships between different imaginarity measures and their properties are also discussed.

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Xiangyu Chen, Qiang Lei. 2024-03-31. Imaginarity measures induced by relative entropy. https://doi.org/10.1016/s0034-4877(25)00003-5

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