Equivalence of Additivity Questions in Quantum Information Theory
Shor, Peter W.
arXiv, 0305035 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-05-07
Classification:  Quantum Physics,  Mathematical Physics 
@article{0305035,
     author = {Shor, Peter W.},
     title = {Equivalence of Additivity Questions in Quantum Information Theory},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305035}
}

Shor, Peter W. Equivalence of Additivity Questions in Quantum Information Theory. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305035/