Biblioteca de la Universidad Complutense de Madrid

Operator Space theory: a natural framework for Bell inequalities

Impacto

Junge, M. y Pérez García, David y Palazuelos Cabezón, Carlos y Villanueva, Ignacio y Wolf, Michael (2009) Operator Space theory: a natural framework for Bell inequalities. Physical Review Letters, 104 . ISSN 0031-9007, ESSN: 1079-7114

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URL Oficial: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.104.170405



Resumen

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.


Tipo de documento:Artículo
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Short (non-technical) version

Palabras clave:Teoría cuántica
Palabras clave (otros idiomas):Quantum Physics
Materias:Ciencias > Física > Física matemática
Ciencias > Física > Teoría de los quanta
Código ID:12160
Depositado:03 Feb 2011 09:12
Última Modificación:03 Dic 2014 12:45

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