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Operator Space theory: a natural framework for Bell inequalities

Junge, M. and Pérez García, David and Palazuelos Cabezón, Carlos and Villanueva, Ignacio and Wolf, Michael (2009) Operator Space theory: a natural framework for Bell inequalities.

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Official URL: http://arxiv.org/abs/0912.1941

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Abstract

In this letter we show that the field of Operator Space Theory provides a general and powerful mathematical framework for arbitrary Bell inequalities, in particular regarding the scaling of their violation within quantum mechanics. We illustrate the power of this connection by showing that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\frac{\sqrt{n}}{\log^2n}$ when observables with n possible outcomes are used. Applications to resistance to noise, Hilbert space dimension estimates and communication complexity are given.

Item Type:Article
Additional Information:Short (non-technical) version
Uncontrolled Keywords:Teoría cuántica, Quantum Physics
Subjects:Sciences > Physics > Mathematical physics
Sciences > Physics > Quantum theory
ID Code:12160
Deposited On:03 Feb 2011 09:12
Last Modified:06 Feb 2014 09:18

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