Private algebras in quantum information and infinite-dimensional complementarity
Journal Article
·
· Journal of Mathematical Physics
- School of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6 (Canada)
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.
- OSTI ID:
- 22479613
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Hilbert space structure in quantum gravity: an algebraic perspective
On the constrained classical capacity of infinite-dimensional covariant quantum channels
Operator algebras and an infinite-dimensional symmetry for string theory
Journal Article
·
Wed Dec 16 00:00:00 EST 2015
· Journal of High Energy Physics (Online)
·
OSTI ID:22479613
On the constrained classical capacity of infinite-dimensional covariant quantum channels
Journal Article
·
Fri Jan 15 00:00:00 EST 2016
· Journal of Mathematical Physics
·
OSTI ID:22479613
Operator algebras and an infinite-dimensional symmetry for string theory
Journal Article
·
Thu Sep 15 00:00:00 EDT 1994
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:22479613