Two-Setting Bell Inequalities for Many Qubits

Details Two-Setting Bell Inequalities for Many Qubits Two-Setting Bell Inequalities for Many Qubits

2006-11-13

arxiv.org/abs/quant-ph/0611142v1

Phys. Rev. A 74, 050101(R) (2006)

Physics

Quantum Physics

4 pages, no figure

Scientific paper

10.1103/PhysRevA.74.050101

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.

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