Smooth manifold structure for extreme channels

DOI10.1063/1.5019837zbMath1380.81073arXiv1610.02513OpenAlexW3105204828MaRDI QIDQ3134125

Raban Iten, Roger Colbeck

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02513

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Channel models (including quantum) in information and communication theory (94A40) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

On the convex characterisation of the set of unital quantum channels

Cites Work

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• On the extreme points of quantum channels
• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Completely positive linear maps on complex matrices
• Critical points of matrix least squares distance functions
• Convex decomposition of dimension-altering quantum channels
• Quantum circuit design for accurate simulation of qudit channels

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