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Junge, M. and Pérez García, David and Palazuelos Cabezón, Carlos and Villanueva, Ignacio and Wolf, Michael
(2010)
*Unbounded violations of bipartite Bell Inequalities via Operator Space theory.*
Communications in Mathematical Physics, 300
(3).
pp. 715-739.
ISSN 0010-3616, 1432-0916 (Online)
(Submitted)

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Official URL: http://link.springer.com/article/10.1007/s00220-010-1125-5

## Abstract

In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\sqrt{n}$ (up to a logarithmic factor) when observables with n possible outcomes are used. A central tool in the analysis is a close relation between this problem and operator space theory and, in particular, the very recent noncommutative $L_p$ embedding theory. As a consequence of this result, we obtain better Hilbert space dimension witnesses and quantum violations of Bell inequalities with better resistance to noise.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Teoría cuántica, Quantum Physics |

Subjects: | Sciences > Physics > Mathematical physics Sciences > Physics > Quantum theory |

ID Code: | 12161 |

Deposited On: | 03 Feb 2011 09:18 |

Last Modified: | 04 Dec 2014 11:42 |

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