Testing of quantum nonlocal correlations under constrained free will and imperfect detectors
arXiv:2209.05444 · doi:10.1103/PhysRevA.107.012212
Abstract
In this work, we deal with the relaxation of two central assumptions in standard locally realistic hidden variable (LRHV) inequalities: free will in choosing measurement settings, and the presence of perfect detectors at the measurement devices. Quantum correlations violating LRHV inequalities are called quantum nonlocal correlations. In principle, in an adversarial situation, there could be a hidden variable introducing bias in the selection of measurement settings, but observers with no access to that hidden variable could be unaware of the bias. In practice, however, detectors do not have perfect efficiency. A main focus of this paper is the introduction of the framework in which 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 class of LRHV inequalities with constrained free will, and we discuss their implications in the testing of quantum nonlocal correlations.
arXiv comment16 pages, 9 figures; updated with changes made for publication in Physical Review A
References in corpus (31)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Violation of Bell's inequality under strict Einstein locality conditions
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Molecular geometry optimization with a genetic algorithm
- Free randomness can be amplified
- Private Randomness Expansion With Untrusted Devices
- Randomness vs Non Locality and Entanglement
- Certified randomness in quantum physics
- Challenging local realism with human choices
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- All Pure Bipartite Entangled States can be Self-Tested
- Unbounded randomness certification using sequences of measurements
- Efficient quantum key distribution secure against no-signalling eavesdroppers
- Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
- Fully device independent Conference Key Agreement
- Bell's inequality and the coincidence-time loophole
- Universal Limitations on Quantum Key Distribution over a Network
- Bell violation with entangled photons, free of the coincidence-time loophole
- Relaxed Bell Inequalities with Arbitrary Measurement Dependence for Each Observer
- Fundamental limits on the capacities of bipartite quantum interactions
- A Genuine Multipartite Bell Inequality for Device-independent Conference Key Agreement
- Violations of locality and free choice are equivalent resources in Bell experiments
- Optimal free-will on one side in reproducing the singlet correlation
- Device-independent Randomness Amplification and Privatization
- Measurement dependent locality
- Multipartite Bell-type Inequality by Generalizing Wigner's Argument
- Fundamental limitations on the device-independent quantum conference key agreement
- Device-independent randomness generation with sublinear shared quantum resources
- Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios