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arXiv · 1510.06672

Private algebras in quantum information and infinite-dimensional complementarity

Jason Crann·David W. Kribs·Rupert H. Levene·Ivan G. Todorov
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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.

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Jason Crann, David W. Kribs, Rupert H. Levene, Ivan G. Todorov. 2015-10-22. Private algebras in quantum information and infinite-dimensional complementarity. https://doi.org/10.1063/1.4935399

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