Two-Setting Bell Inequalities for Many Qubits
نویسندگان
چکیده
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. 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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متن کاملnt - p h / 01 04 13 3 v 3 2 2 Ju n 20 01 Bell ’ s theorem without inequalities and only two distant observers
A proof of Bell's theorem without inequalities is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem using an entangled state of 2n qubits (with n odd) shared between two distant observers. In two recent papers[1,2], Cabello gave a proof of Bell's theorem without inequalities by usi...
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A proof of Bell's theorem without inequalities is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem using an entangled state of 2n qubits (with n odd) shared between two distant observers. In two recent papers[1,2], Cabello gave a proof of Bell's theorem without inequalities by usi...
متن کاملnt - p h / 01 04 13 3 v 5 2 O ct 2 00 1 Bell ’ s theorem without inequalities and only two distant observers
A proof of Bell's theorem without inequalities is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem based on an entangled state of 2n qubits (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for 2n qubits and it is shown that quantum mec...
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