dorsal/arxiv
View SchemaQuantum Mechanical Realization of a Popescu-Rohrlich Box
| Authors | S. Marcovitch, B. Reznik, L. Vaidman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601122 |
| URL | https://arxiv.org/abs/quant-ph/0601122 |
| DOI | 10.1103/PhysRevA.75.022102 |
| Journal | Phys. Rev. A 75, 022102 (2007) |
Abstract
We consider quantum ensembles which are determined by pre- and post-selection. Unlike the case of only pre-selected ensembles, we show that in this case the probabilities for measurement outcomes at intermediate times satisfy causality only rarely; such ensembles can in general be used to signal between causally disconnected regions. We show that under restrictive conditions, there are certain non-trivial bi-partite ensembles which do satisfy causality. These ensembles give rise to a violation of the CHSH inequality, which exceeds the maximal quantum violation given by Tsirelson's bound, $B_{\rm CHSH}\le 2\sqrt2$, and obtains the Popescu-Rohrlich bound for the maximal violation, $B_{\rm CHSH}\le 4$. This may be regarded as an a posteriori realization of super-correlations, which have recently been termed Popescu-Rohrlich boxes.
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"abstract": "We consider quantum ensembles which are determined by pre- and\npost-selection. Unlike the case of only pre-selected ensembles, we show that in\nthis case the probabilities for measurement outcomes at intermediate times\nsatisfy causality only rarely; such ensembles can in general be used to signal\nbetween causally disconnected regions. We show that under restrictive\nconditions, there are certain non-trivial bi-partite ensembles which do satisfy\ncausality. These ensembles give rise to a violation of the CHSH inequality,\nwhich exceeds the maximal quantum violation given by Tsirelson\u0027s bound, $B_{\\rm\nCHSH}\\le 2\\sqrt2$, and obtains the Popescu-Rohrlich bound for the maximal\nviolation, $B_{\\rm CHSH}\\le 4$. This may be regarded as an a posteriori\nrealization of super-correlations, which have recently been termed\nPopescu-Rohrlich boxes.",
"arxiv_id": "quant-ph/0601122",
"authors": [
"S. Marcovitch",
"B. Reznik",
"L. Vaidman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.022102",
"journal_ref": "Phys. Rev. A 75, 022102 (2007)",
"title": "Quantum Mechanical Realization of a Popescu-Rohrlich Box",
"url": "https://arxiv.org/abs/quant-ph/0601122"
},
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