Most Bell Operators do not Significantly Violate Locality

Details Most Bell Operators do not Significantly Violate Locality Most Bell Operators do not Significantly Violate Locality

2002-02-10

arxiv.org/abs/quant-ph/0202053v1

Physics

Quantum Physics

8 pages

Scientific paper

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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