Nonlocal resources in the presence of Superselection Rules

Details Nonlocal resources in the presence of Superselection Rules Nonlocal resources in the presence of Superselection Rules

2003-10-20

arxiv.org/abs/quant-ph/0310124v1

Phys. Rev. Lett. 92, 087904 (2004)

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.92.087904

Superselection rules severely alter the possible operations that can be implemented on a distributed quantum system. Whereas the restriction to local operations imposed by a bipartite setting gives rise to the notion of entanglement as a nonlocal resource, the superselection rule associated with particle number conservation leads to a new resource, the \emph{superselection induced variance} of local particle number. We show that, in the case of pure quantum states, one can quantify the nonlocal properties by only two additive measures, and that all states with the same measures can be asymptotically interconverted into each other by local operations and classical communication. Furthermore we discuss how superselection rules affect the concepts of majorization, teleportation and mixed state entanglement.

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