Equivalence of Additivity Questions in Quantum Information Theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-04

AUTHORS

Peter W. Shor

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. More... »

PAGES

453-472

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-003-0981-7

DOI

http://dx.doi.org/10.1007/s00220-003-0981-7

DIMENSIONS

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