Type

Journal Article

Authors

Fabio Benatti
Richard Jozsa
T. C. Dorlas
Nilanjana Datta

Subjects

Mathematics

Topics
entropy von neumann quantum theory accessible information probability dimensions information theory higher

Properties of subentropy (2013)

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.
Collections Ireland -> DAIR -> Type = Article
Ireland -> DAIR -> Status = Published

Full list of authors on original publication

Fabio Benatti, Richard Jozsa, T. C. Dorlas, Nilanjana Datta

Experts in our system

1
T. C. Dorlas
DAIR
Total Publications: 44