, Volume 246, Issue 3, pp 453-472
Date: 18 Nov 2003

Equivalence of Additivity Questions in Quantum Information Theory

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We reduce the number of open additivity problems in quantum information theory by showing that four of them are equivalent. Namely, 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.

Communicated By M.B. Ruskai
An erratum to this article can be found athttp://dx.doi.org/10.1007/s00220-004-1071-1