A simple test of local realistic hidden-variable theories without inequalities

• URL: http://arxiv.org/abs/2410.17912v2
• Date: Mon, 04 Nov 2024 12:48:16 GMT
• Title: A simple test of local realistic hidden-variable theories without inequalities
• Authors: Andrea Aiello,
• Abstract summary: Most tests of validity of local realistic hidden-variable theories with respect to quantum mechanics are based on inequalities such as Bell's inequality. We present a simple alternative test which does not involve inequalities, but a direct comparison between correlation functions given by quantum mechanics and local realistic hidden-variable theories.
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• Abstract: Most tests of the validity of local realistic hidden-variable theories with respect to quantum mechanics, are based on inequalities such as Bell's inequality and Clauser Horne, Shimony, and Holt's inequality. In this work we present a simple alternative test which does not involve inequalities, but a direct comparison between correlation functions given by quantum mechanics and local realistic hidden-variable theories. Our test is based on a physically motivated use of Fourier series for periodic functions, and confirms that local realistic hidden-variable theories are incompatible with quantum mechanics.

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