Published June 1, 2006 | public
Journal Article Open

Grothendieck's constant and local models for noisy entangled quantum states

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Abstract

We relate the nonlocal properties of noisy entangled states to Grothendieck's constant, a mathematical constant appearing in Banach space theory. For two-qubit Werner states rhopW=p|psi–>

Additional Information

©2006 The American Physical Society (Received 23 November 2005; published 9 June 2006) This work is supported by the National Science Foundation under Grant No. EIA-0086038, a Spanish MCyT "Ramón y Cajal" grant, the Generalitat de Catalunya, the Swiss NCCR "Quantum Photonics," and OFES within the European project RESQ [Grant No. IST-2001-37559]. We thank Steven Finch for providing us with Ref. [26].

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