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Superposition measures with respect to coarse-grained measurement in the generalized n-qubit Werner state

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Abstract

A superposition measure with respect to coarse-grained measurement is presented in this paper. We consider a special kind of mixed states—the generalized n-qubit Werner state as the initial state. We take an appropriate coarse-graining acting on the initial state and find that the observational entropy and the von Neumann entropy are equal for any n. Furthermore, for another coarse-graining, we study the difference between observational entropy and von Neumann entropy. We find that this difference satisfies the condition of superposition measure, so this difference can be regarded as a superposition measure with respect to a coarse-grained measurement. The characterizations of this superposition measure are studied.

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  1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Xiang Zhou

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  1. Xiang Zhou
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Zhou, X. Superposition measures with respect to coarse-grained measurement in the generalized n-qubit Werner state. Quantum Inf Process 22, 156 (2023). https://doi.org/10.1007/s11128-023-03899-1

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