Loophole-free Bell tests with randomly chosen subsets of measurement settings
arXiv:2309.00442 · doi:10.1103/PhysRevA.109.022204
Abstract
There are bipartite quantum nonlocal correlations requiring very low detection efficiency to reach the loophole-free regime but that need too many measurement settings to be practical for actual experiments. This leads to the general problem of what can be concluded about loophole-free Bell nonlocality if only a random subset of these settings is tested. Here we develop a method to address this problem. We show that, in some cases, it is possible to detect loophole-free Bell nonlocality testing only a small random fraction of the settings. The prize to pay is a higher detection efficiency. The method allows for a novel approach to the design of loophole-free Bell tests in which, given the dimension of the local system, the visibility, and the detection efficiency available, one can calculate the fraction of the contexts needed to reach the detection-loophole-free regime. The results also enforce a different way of thinking about the costs of classically simulating quantum nonlocality, as it shows that the amount of resources that are needed can be made arbitrarily large simply by considering more contexts.
Published in PRA. Close to the published version
References in corpus (10)
- The Communication Cost of Simulating Bell Correlations
- Experimental device-independent quantum key distribution between distant users
- Certified randomness in quantum physics
- Advances in device-independent quantum key distribution
- Photonic verification of device-independent quantum key distribution against collective attacks
- Proposed Bell experiment with genuine energy-time entanglement
- Security of device-independent quantum key distribution protocols: a review
- Exponentially decreasing critical detection efficiency for any Bell inequality
- Bell inequalities with one bit of communication
- Graph-theoretic approach to Bell experiments with low detection efficiency