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Free will (or randomness) has been studied to achieve loophole-free Bell’s inequality test and to provide device-independent quantum key distribution security proofs. The required randomness such that a local hidden variable model (LHVM) can violate the Clauser–Horne–Shimony–Holt (CHSH) inequality has been studied, but a tight bound has not been proved for a practical case that: 1) the device settings...
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