Private algebras in quantum information and infinite-dimensional complementarity

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Title: Private algebras in quantum information and infinite-dimensional complementarity
Authors: Crann, Jason
Kribs, David W.
Levene, Rupert H.
Todorov, Ivan G.
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Date: Nov-2015
Abstract: We introduce a generalized framework for private quantum codes using von Neumann algebras and the structure of commutants. This leads naturally to a more general notion of complementary channel, which we use to establish a generalized complementarity theorem between private and correctable subalgebras that applies to both the finite and infinite-dimensional settings. Linear bosonic channels are considered and specific examples of Gaussian quantum channels are given to illustrate the new framework together with the complementarity theorem.
Type of material: Journal Article
Publisher: AIP
Keywords: Private algebraPrivate quantum subsystemPrivate quantum channelvon Neumann algebraCommutantCompletely positive mapComplementary channelGaussian quantam channel
DOI: 10.1063/1.4935399
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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