Block-coherence measures and coherence measures based on positive-operator-valued measures |
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| Authors: | Liangxue Fu Fengli Yan Ting Gao |
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| Institution: | 1.College of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, China;2.School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China |
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| Abstract: | We study block-coherence measures based on the resource theory of block-coherence and coherence measures based on positive-operator-valued measures (POVM). Several block-coherence measures are presented, including the block-coherence measure based on maximum relative entropy, the one-shot block-coherence cost under maximally block-incoherent operations, and the coherence measure based on coherent rank. Their relationships are obtained. Moreover, we describe the deterministic coherence dilution process by constructing block-incoherent operations. Based on the POVM coherence resource theory, we also propose two coherence measures and analyze their relationship. |
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| Keywords: | coherence measure block-coherence measure positive-operator-valued measure |
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