Matches in SemOpenAlex for { <https://semopenalex.org/work/W4383822431> ?p ?o ?g. }
- W4383822431 abstract "Quantum R'enyi relative entropies play a significant part in characterizing operational tasks in quantum information theory. In this paper, we first give some fundamental properties of the zero-relative entropy, and we find that the geometric R'enyi relative entropy reduces to the zero-relative entropy in the limit case. Then, we define a new mutual information via the zero-relative entropy, and it is the so-called zero-mutual information. In particular, the zero-mutual information is a lower bound of the Petz-R'enyi and geometric generalized mutual information. We establish the chain rules for the unsmoothed and smoothed versions of the zero-mutual information. As an application, we discuss generalized mutual information with the Petz-R'enyi, sandwiched R'enyi, and geometric R'enyi types, our result gives a uniform chain rule inequality for quantum generalized mutual information." @default.
- W4383822431 created "2023-07-11" @default.
- W4383822431 creator A5056275002 @default.
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- W4383822431 date "2023-07-10" @default.
- W4383822431 modified "2023-10-17" @default.
- W4383822431 title "Chain rules for a mutual information based on Rényi zero-relative entropy" @default.
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- W4383822431 doi "https://doi.org/10.1103/physreva.108.012413" @default.
- W4383822431 hasPublicationYear "2023" @default.
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