Testing of quantum nonlocal correlations under constrained free will and imperfect detectors

• URL: http://arxiv.org/abs/2209.05444v2
• Date: Tue, 13 Sep 2022 06:50:20 GMT
• Title: Testing of quantum nonlocal correlations under constrained free will and imperfect detectors
• Authors: Abhishek Sadhu and Siddhartha Das
• Abstract summary: Violation of LRHV inequalities by quantum correlations imply that given correlations are quantum nonlocal. We introduce a new class of LRHV inequalities with constrained free will and discuss their implications in testing of quantum nonlocal correlations.
• Score: 2.28438857884398
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we deal with relaxation of two central assumptions in the standard locally realistic hidden variable (LRHV) inequalities: free will in choosing of measurement settings and presence of perfect detectors at the measurement devices. Violation of LRHV inequalities by quantum correlations imply that given correlations are quantum nonlocal. However, in an adversarial situation, there could be a hidden variable introducing bias in the selection of measurement settings but observers with no access to hidden variable could be unaware of the bias. Whereas in practice, detectors don't have perfect efficiency. A main focus of this paper is introduction of the framework where given a quantum state with nonlocal behavior under constrained free will, we can determine the threshold values of detector parameters (detector inefficiency and dark counts) such that the detectors are robust enough to certify nonlocality. We also introduce a new class of LRHV inequalities with constrained free will and discuss their implications in testing of quantum nonlocal correlations.

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