Quantum entanglement theory in the presence of superselection rules

Norbert Schuch, Frank Verstraete, and J. Ignacio Cirac
Phys. Rev. A 70, 042310 – Published 15 October 2004

Abstract

Superselection rules severely constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource, particle number conservation additionally confines the possible operations and should give rise to a new resource. In Phys. Rev. Lett. 92, 087904 (2004) we showed that this resource can be quantified by a single additional number, the superselection-induced variance (SIV), without changing the concept of entanglement. In this paper, we give the results on pure states in greater detail; additionally, we provide a discussion of mixed-state nonlocality with superselection rules where we consider both formation and distillation. Finally, we demonstrate that SIV is indeed a resource, i.e., that it captures how well a state can be used to overcome the restrictions imposed by the superselection rule.

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  • Received 13 April 2004

DOI:https://doi.org/10.1103/PhysRevA.70.042310

©2004 American Physical Society

Authors & Affiliations

Norbert Schuch, Frank Verstraete, and J. Ignacio Cirac

  • Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany

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Issue

Vol. 70, Iss. 4 — October 2004

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