Lougovski, Pavel and van Enk, S. J. (2009) Strengthened Bell inequalities for entanglement verification. Physical Review A, 80 (3). 034302 . ISSN 1050-2947 http://resolver.caltech.edu/CaltechAUTHORS:20091021-113201885
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Bell inequalities were meant to test quantum mechanics vs local hidden variable models, but can also be used to verify entanglement. For entanglement verification purposes one assumes the validity of quantum mechanics as well as quantum descriptions of one's measurements. With the help of these assumptions it is possible to derive a strengthened Bell inequality whose violation implies entanglement. We generalize known examples of such inequalities by relating the expectation value of the Bell operator to a particular quantitative measure of entanglement, namely, the negativity. Moreover, we obtain statistics illustrating the fact that violating a given (strengthened or not) Bell inequality is a much more rare feat for a quantum state of two qubits than it is to be entangled.
|Additional Information:||© 2009 American Physical Society. Received 3 August 2009; published 30 September 2009. This research was supported by the Disruptive Technologies Office (DTO) of the DNI.|
|Subject Keywords:||Bell theorem; quantum computing; quantum entanglement|
|Classification Code:||PACS number(s): 03.67.Mn, 03.65.Ud|
|Official Citation:||Strengthened Bell inequalities for entanglement verification Pavel Lougovski and S. J. van Enk, Phys. Rev. A 80, 034302 (2009), DOI:10.1103/PhysRevA.80.034302|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||21 Oct 2009 20:30|
|Last Modified:||26 Dec 2012 11:29|
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