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Published September 2009 | public
Journal Article

Strengthened Bell inequalities for entanglement verification

Abstract

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.

Additional details

Created:
August 21, 2023
Modified:
October 19, 2023