Additivity of the classical capacity of entanglement-breaking quantum channels

2002/01/31 by Peter W. Shor · 7 citations
Computer Science · Physics and Astronomy · #Amplitude damping channel #Classical capacity #Generalized relative entropy #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum relative entropy #Subadditivity #Superadditivity #Tensor product #quant-ph

paper · pdf · doi:10.1063/1.1498000

published as J. Math. Phys. Vol. 43, 4334-4340 (2002) · 7 pages, minor corrections and clarifications in version 3

openalex publication_date 2002/09/01 · arxiv created 2002/10/14 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that for the tensor product of an entanglement-breaking quantum channel with an arbitrary quantum channel, both the minimum entropy of an output of the channel and the Holevo–Schumacher–Westmoreland capacity are additive. In addition, for the tensor product of two arbitrary quantum channels, we give a bound involving entanglement of formation for the amount of subadditivity (for minimum entropy output) or superadditivity (for classical capacity) that can occur.

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