dorsal/arxiv
View SchemaAn Unentangled Gleason's Theorem
| Authors | Nolan R. Wallach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002058 |
| URL | https://arxiv.org/abs/quant-ph/0002058 |
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.
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"abstract": "The purpose of this note is to give a generalization of Gleason\u0027s theorem\ninspired by recent work in quantum information theory on \"nonlocality without\nentanglement.\" For multipartite quantum systems, each of dimension three or\ngreater, the only nonnegative frame functions over the set of unentangled\nstates are those given by the standard Born probability rule. However, if one\nsystem is of dimension 2 this is not necessarily the case.",
"arxiv_id": "quant-ph/0002058",
"authors": [
"Nolan R. Wallach"
],
"categories": [
"quant-ph"
],
"title": "An Unentangled Gleason\u0027s Theorem",
"url": "https://arxiv.org/abs/quant-ph/0002058"
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