Randomness Requirement on CHSH Bell Test in the Multiple Run Scenario
arXiv:1409.7875 · doi:10.1103/PhysRevA.91.032111
Abstract
The Clauser-Horne-Shimony-Holt inequality test is widely used as a mean of invalidating the local deterministic theories and a tool of device independent quantum cryptographic tasks. There exists a randomness (freewill) loophole in the test, which is widely believed impossible to be closed perfectly. That is, certain random inputs are required for the test. Following a randomness quantification method used in literature, we investigate the randomness required in the test under various assumptions. By comparing the results, one can conclude that the key to make the test result reliable is to rule out correlations between multiple runs.
15 pages, 3 figures, comments are welcome
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Cited by in corpus (11)
- Quantum random number generation
- Relaxed Bell Inequalities with Arbitrary Measurement Dependence for Each Observer
- Real-time inteferometric quantum random number generation on chip
- Measurement-dependent locality beyond i.i.d
- Random number generation using spontaneous symmetry breaking in a Kerr resonator
- Efficient measurement-device-independent detection of multipartite entanglement structure
- Clauser-Horne Bell test with imperfect random inputs
- Experimental test of measurement dependent local Bell inequality with human free will
- Tight Bound on Randomness for Violating the CHSH Inequality
- Sequential device-independent certification of indefinite causal order
- Interplay between Quantumness, Randomness, and Selftesting