Equivalence of Additivity Questions in Quantum Information Theory

Preprint

13 June 2003

preprint
Published by arXiv in arXiv

Abstract

We reduce the number of open additivity problems in quantum information theory by showing that four of them are equivalent. We show that the conjectures of additivity of the minimum output entropy of a quantum channel, additivity of the Holevo expression for the classical capacity of a quantum channel, additivity of the entanglement of formation, and strong superadditivity of the entanglement of formation, are either all true or all false.

Keywords

QUANTUM INFORMATION THEORY
ENTANGLEMENT OF FORMATION
ADDITIVITY QUESTIONS
QUANTUM CHANNEL
OPEN ADDITIVITY
ENTROPY
THEORY

All Related Versions

Version 1, 2003-05-07, ArXiv
Version 2, 2003-05-12, ArXiv
Version 3, 2003-06-13, ArXiv
Version 4, 2003-07-03, ArXiv
Published version: Communications in Mathematical Physics, 246 (3), 473.

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