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We provide an upper bound on the quasi-relative entropy in terms of the trace distance. The bound is derived for several types of the function, as well for any operator… Click to show full abstract
We provide an upper bound on the quasi-relative entropy in terms of the trace distance. The bound is derived for several types of the function, as well for any operator monotone decreasing function and mixed qubit states. We apply the result to the Umegaki relative entropy and the q-entropy.
Keywords:
quasi relative;
bound;
continuity bound;
upper continuity;
relative entropy
Journal Title: Journal of Mathematical Physics
Year Published: 2019
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Journal Title: Journal of Mathematical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!