Work

Convex trace functions on quantum channels and the additivity conjecture

Year: 2009

Type: article

Abstract: We study a natural generalization of the additivity problem in quantum information theory: given a pair of quantum channels, then what is the set of convex trace functions that attain their maximum on unentangled inputs if they are applied to the corresponding output state? We prove several results on the structure of the set of those convex functions that are ``additive'' in this more general sense. In particular, we show that all operator convex functions are additive for the Werner-Holevo channel in $3\ifmmode\times\else\texttimes\fi{}3$ dimensions, which contains the well-known additivity results for this channel as special cases.

Source: Physical Review A

DOI: 10.1103/physreva.79.052332

Author: Markus Müller

Institutions: Max Planck Institute for Mathematics in the Sciences, Technische Universität Berlin

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2098998931

FWCI:

Cites: 18

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Related to: 10