A Generalization of Entanglement to Convex Operational Theories: Entanglement Relative to a Subspace of Observables |
| |
Authors: | Howard Barnum Gerardo Ortiz Rolando Somma Lorenza Viola |
| |
Institution: | (1) Los Alamos National Laboratory, Los Alamos, NM 87545, Boulder, Colorado, 80305;(2) Department of Physics and Astronomy, Dartmouth College, New Hampshire, 03755 |
| |
Abstract: | We define what it means for a state in a convex cone of states on a space of observables to be generalized-entangled relative to a subspace of the observables, in a general ordered linear spaces framework for operational theories. This extends
the notion of ordinary entanglement in quantum information theory to a much more general framework. Some important special
cases are described, in which the distinguished observables are subspaces of the observables of a quantum system, leading
to results like the identification of generalized unentangled states with Lie-group-theoretic coherent states when the special
observables form an irreducibly represented Lie algebra. Some open problems, including that of generalizing the semigroup
of local operations with classical communication to the convex cones case, are discussed.
PACS: 03.65.Ud. |
| |
Keywords: | entanglement convex cones ordered linear spaces coherent states Lie algebras Lie groups operational theories observables local operations |
本文献已被 SpringerLink 等数据库收录! |
|