Quantum nonlocality in presence of strong measurement dependence
arXiv:2209.02337 · doi:10.1103/PhysRevA.108.042207
Abstract
It is well known that the effect of quantum nonlocality, as witnessed by violation of a Bell inequality, can be observed even when relaxing the assumption of measurement independence, i.e. allowing for the source to be partially correlated with the choices of measurement settings. But what is the minimal amount of measurement independence needed for observing quantum nonlocality? Here we explore this question and consider models with strong measurement-dependent locality, where measurement choices can be perfectly determined in almost all rounds of the Bell test. Yet, we show that quantum nonlocality can still be observed in this scenario, which we conjecture is minimal within the framework we use. We also discuss potential applications in randomness amplification.
References in corpus (26)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Violation of Bell inequalities by photons more than 10 km apart
- Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
- Free randomness can be amplified
- Certified randomness in quantum physics
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- Full randomness from arbitrarily deterministic events
- Relaxed Bell inequalities and Kochen-Specker theorems
- How much measurement independence is needed in order to demonstrate nonlocality?
- A unifying framework for relaxations of the causal assumptions in Bell's theorem
- Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
- The effects of reduced "free will" on Bell-based randomness expansion
- Robust Device-Independent Randomness Amplification with Few Devices
- Fully nonlocal quantum correlations
- Bell tests with min-entropy sources
- Quantum nonlocality in networks can be demonstrated with an arbitrarily small level of independence between the sources
- Relaxed Bell Inequalities with Arbitrary Measurement Dependence for Each Observer
- Randomness amplification against no-signaling adversaries using two devices
- Measurement-dependent locality beyond i.i.d
- Optimal free-will on one side in reproducing the singlet correlation
- Device-independent Randomness Amplification and Privatization
- Demonstration of Quantum Nonlocality in presence of Measurement Dependence
- Measurement dependent locality