Private algebras in quantum information and infinite-dimensional complementarity
|Title:||Private algebras in quantum information and infinite-dimensional complementarity||Authors:||Crann, Jason
Kribs, David W.
Levene, Rupert H.
Todorov, Ivan G.
|Permanent link:||http://hdl.handle.net/10197/9342||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 algebra; Private quantum subsystem; Private quantum channel; von Neumann algebra; Commutant; Completely positive map; Complementary channel; Gaussian quantam channel||DOI:||10.1063/1.4935399||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.