dorsal/arxiv
View SchemaMost Bell Operators do not Significantly Violate Locality
| Authors | Itamar Pitowsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202053 |
| URL | https://arxiv.org/abs/quant-ph/0202053 |
Abstract
The worst violation of Bell's inequality for $n$ qbits is of size $2^{\frac{n-1}{2}}$ and it is obtained by a specific operator acting on a specific state. We show, to the contrary, that for a vast majority of Bell operators the worst violation is bounded by $O((n\log n)^{{1/2}})$, below experimental detection. With respect to the extremal operators, introduced by Werner and Wolf [Phys. Rev. A 64, 032112 (2001)], we show that a large majority of them have a norm bounded by $O(n^{{1/2}})$.
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"abstract": "The worst violation of Bell\u0027s inequality for $n$ qbits is of size\n$2^{\\frac{n-1}{2}}$ and it is obtained by a specific operator acting on a\nspecific state. We show, to the contrary, that for a vast majority of Bell\noperators the worst violation is bounded by $O((n\\log n)^{{1/2}})$, below\nexperimental detection. With respect to the extremal operators, introduced by\nWerner and Wolf [Phys. Rev. A 64, 032112 (2001)], we show that a large majority\nof them have a norm bounded by $O(n^{{1/2}})$.",
"arxiv_id": "quant-ph/0202053",
"authors": [
"Itamar Pitowsky"
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"quant-ph"
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"title": "Most Bell Operators do not Significantly Violate Locality",
"url": "https://arxiv.org/abs/quant-ph/0202053"
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