Two-Setting Bell Inequalities for Many Qubits

Abstract

We present a family of Bell inequalities involving only two measurement settings of each party for N>2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows exponentially as 2^{{(N-2)}/2}. The inequalities are also violated by some states that do satisfy all the standard Bell inequalities. Remarkably, our results yield in an efficient and simple way an implementation of nonlocality tests of many qubits favorably within reach of the well-established technology of linear optics.

4 pages, no figure

References in corpus (1)

• General correlation functions of the Clauser-Horne-Shimony-Holt inequality for arbitrarily high-dimensional systems

Cited by in corpus (6)

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• Classification and monogamy of three-qubit biseparable Bell correlations
• Parts and Wholes. An Inquiry into Quantum and Classical Correlations
• Bell Inequalities Classifying Bi-separable Three-qubit States
• Separable quantum states do not have stronger correlations than local realism. A comment on quant-ph/0611126 of Z. Chen
• Variants of Bell inequalities