TY - JOUR

T1 - On the additivity hypothesis in quantum information theory

AU - Amosov, G. G.

AU - Holevo, A. S.

AU - Werner, R. F.

PY - 2000

Y1 - 2000

N2 - Summary (translated from the Russian): which can be simply formulated but has not yet been solved, relates to the additivity of some characteristics of a quantum communication channel of `classical capacity' or `maximal output state purity' type with respect to the tensor product of channels. All known results, including numerical verification, are consistent with this hypothesis. An affirmative solution of this problem would mean, in particular, that the use of linked states will not increase classical capacity and would have important significance for quantum information theory. In the present paper we present a formulation of some additivity/multiplicativity problems, study the interrelations between them, and give a proof of partial results that support the hypothesis.rqq

AB - Summary (translated from the Russian): which can be simply formulated but has not yet been solved, relates to the additivity of some characteristics of a quantum communication channel of `classical capacity' or `maximal output state purity' type with respect to the tensor product of channels. All known results, including numerical verification, are consistent with this hypothesis. An affirmative solution of this problem would mean, in particular, that the use of linked states will not increase classical capacity and would have important significance for quantum information theory. In the present paper we present a formulation of some additivity/multiplicativity problems, study the interrelations between them, and give a proof of partial results that support the hypothesis.rqq

M3 - Article

VL - 36

SP - 25

EP - 34

JO - Problemy Peredachi Informatsii

JF - Problemy Peredachi Informatsii

IS - 4

ER -