Equivalence of Additivity Questions in Quantum Information Theory

Details Equivalence of Additivity Questions in Quantum Information Theory Equivalence of Additivity Questions in Quantum Information Theory

2003-05-07

arxiv.org/abs/quant-ph/0305035v4

Physics

Quantum Physics

now 20 pages, replaced to add a reference, remove a reference to a claimed result about locally minimal output entropy states

Scientific paper

10.1007/s00220-004-1071-1

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.

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