dorsal/arxiv
View SchemaNon-local Correlations are Generic in Infinite-Dimensional Bipartite Systems
| Authors | Rob Clifton, Hans Halvorson, Adrian Kent |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909016 |
| URL | https://arxiv.org/abs/quant-ph/9909016 |
| DOI | 10.1103/PhysRevA.61.042101 |
| Journal | Phys. Rev. A 61, 042101 (2000) |
Abstract
It was recently shown that the nonseparable density operators for a bipartite system are trace norm dense if either factor space has infinite dimension. We show here that non-local states -- i.e., states whose correlations cannot be reproduced by any local hidden variable model -- are also dense. Our constructions distinguish between the cases where both factor spaces are infinite-dimensional, where we show that states violating the CHSH inequality are dense, and the case where only one factor space is infinite-dimensional, where we identify open neighborhoods of nonseparable states that do not violate the CHSH inequality but show that states with a subtler form of non-locality (often called "hidden" non-locality) remain dense.
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"abstract": "It was recently shown that the nonseparable density operators for a bipartite\nsystem are trace norm dense if either factor space has infinite dimension. We\nshow here that non-local states -- i.e., states whose correlations cannot be\nreproduced by any local hidden variable model -- are also dense. Our\nconstructions distinguish between the cases where both factor spaces are\ninfinite-dimensional, where we show that states violating the CHSH inequality\nare dense, and the case where only one factor space is infinite-dimensional,\nwhere we identify open neighborhoods of nonseparable states that do not violate\nthe CHSH inequality but show that states with a subtler form of non-locality\n(often called \"hidden\" non-locality) remain dense.",
"arxiv_id": "quant-ph/9909016",
"authors": [
"Rob Clifton",
"Hans Halvorson",
"Adrian Kent"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.042101",
"journal_ref": "Phys. Rev. A 61, 042101 (2000)",
"title": "Non-local Correlations are Generic in Infinite-Dimensional Bipartite Systems",
"url": "https://arxiv.org/abs/quant-ph/9909016"
},
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