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Imaginarity measures induced by relative entropy

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arxiv 2404.00637 v2 pith:LE7KA7YM submitted 2024-03-31 quant-ph

Xiangyu Chen , Qiang Lei This is my paper · ORCID
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keywords entropyimaginarityinducedmeasuresrelativealphadefineddefinite
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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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  1. Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy

    quant-ph 2025-06 reject novelty 4.0 of 10

    The paper defines two imaginarity monotones from the unified (α,β)-relative entropy, but the main property theorems are undermined by incorrect inequality directions.

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