A simple proof of Bell's inequality
نویسنده
چکیده
Bell's theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an extremely simple proof of Bell's inequality; a single figure suffices. This simplicity may be useful in the unending debate over what exactly the Bell inequality means, because the hypotheses underlying the proof become transparent. It is also a useful didactic tool, as the Bell inequality can be explained in a single intuitive lecture.
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Bell’s theorem is a fundamental result in quantum mechanics: it discriminates between quantum mechanics and all theories where probabilities in measurement results arise from the ignorance of pre-existing local properties. We give an extremely simple proof of Bell’s inequality: a single figure suffices. This simplicity may be useful in the unending debate of what exactly the Bell inequality mea...
متن کاملnt - p h / 01 04 13 3 v 7 7 J ul 2 00 2 Bell ’ s theorem without inequalities and only two distant observers
A proof of Bell's theorem without inequalities and involving only two observers 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 for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared sy...
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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A proof of Bell's theorem without inequalities and involving only two observers 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 for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared sy...
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