Properties of subentropy

Datta, Nilanjana and Dorlas, T. C. and Jozsa, Richard and Benatti, Fabio (2013) Properties of subentropy. Journal of Mathematical Physics, 55 (6). 062203. ISSN 0022-2488

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Official URL: http://doi.org/10.1063/1.4882935

Abstract

Subentropy is an entropy-like quantity that arises in quantum information theory; for example, it provides a tight lower bound on the accessible information for pure state ensembles, dual to the von Neumann entropy upper bound in Holevo’s theorem. Here we establish a series of properties of subentropy, paralleling the well-developed analogous theory for von Neumann entropy. Further, we show that subentropy is a lower bound for min-entropy. We introduce a notion of conditional subentropy and show that it can be used to provide an upper bound for the guessing probability of any classical-quantum state of two qubits; we conjecture that the bound applies also in higher dimensions. Finally we give an operational interpretation of subentropy within classical information theory.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:30
Last Modified: 26 Jul 2018 10:29
URI: http://dair.dias.ie/id/eprint/306

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