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The Bell inequalities and the joint measurement of incompatible observables
Authors:W M de Muynck  W De Baere  H Martens
Institution:(1) Department of Theoretical Physics, Eindhoven University of Technology, POB 513, 5600 Eindhoven, MB, The Netherlands;(2) Laboratory for Theoretical Physics, State University of Ghent, Proeftuinstraat 86, B-9000 Ghent, Belgium
Abstract:A quantum-mechanical theory of joint nonideal measurement of incompatible polarization observables is applied to an EPR-like experiment. It is demonstrated that this experiment yields both information satisfying and information violating the Bell inequalities. The measurement is also discussed in the context of a local hidden-variables theory. It is argued that the violation of an additional assumption of reproducibility of the hidden variable rather than violation of locality may be responsible for the violation of the Bell inequalities.
Keywords:Bell inequalities  joint measurability  hidden variables  locality
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