0002058v1

related topics
{let, theorem, proof}
{observables, space, algebra}
{entanglement, phys, rev}
{states, state, optimal}
{bell, inequality, local}
{theory, mechanics, state}

An Unentangled Gleason's Theorem

Nolan R. Wallach

abstract: The purpose of this note is to give a generalization of Gleason's theorem inspired by recent work in quantum information theory on "nonlocality without entanglement." For multipartite quantum systems, each of dimension three or greater, the only nonnegative frame functions over the set of unentangled states are those given by the standard Born probability rule. However, if one system is of dimension 2 this is not necessarily the case.

oai_identifier:
oai:arXiv.org:quant-ph/0002058
categories:
quant-ph
comments:
9 pages, no figures
arxiv_id:
quant-ph/0002058
created:
2000-02-22

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