# Local deterministic model of singlet state correlations based on relaxing measurement independence.

@article{Hall2010LocalDM, title={Local deterministic model of singlet state correlations based on relaxing measurement independence.}, author={Michael J. W. Hall}, journal={Physical review letters}, year={2010}, volume={105 25}, pages={ 250404 } }

The derivation of Bell inequalities requires an assumption of measurement independence, related to the amount of free will experimenters have in choosing measurement settings. Violation of these inequalities by singlet state correlations brings this assumption into question. A simple measure of the degree of measurement independence is defined for correlation models, and it is shown that all spin correlations of a singlet state can be modeled via giving up just 14% of measurement independence…

## 167 Citations

The Significance of Measurement Independence for Bell Inequalities and Locality

- Physics
- 2016

A local and deterministic model of quantum correlations is always possible, as shown explicitly by Brans in 1988: one simply needs the physical systems being measured to have a suitable statistical…

Optimal free will on one side in reproducing the singlet correlation

- Physics
- 2012

Bell’s theorem teaches us that there are quantum correlations that cannot be simulated by just shared randomness (local hidden variable). There are some recent results which simulate the singlet…

Relaxed Bell inequalities and Kochen-Specker theorems

- Mathematics
- 2011

The combination of various physically plausible properties, such as no signaling, determinism, and experimental free will, is known to be incompatible with quantum correlations. Hence, these…

Determination of hidden-variable models reproducing the spin singlet

- Physics
- 2012

The experimental violation of Bell inequality establishes necessary but not sufficient conditions that any theory must obey. Namely, a theory compatible with the experimental observations can satisfy…

Local deterministic simulation of equatorial Von Neumann measurements on tripartite GHZ state

- PhysicsQuantum Inf. Process.
- 2015

This paper provides a local deterministic model for equatorial Von Neumann measurements on tripartite GHZ state by sacrificing measurement independence partially, and shows that such correlation also hasLocal deterministic description if measurement independence is given up, even if not completely.

A simple model for the spin singlet: mathematical equivalence of non-locality, slave will and conspiracy

- Physics
- 2012

A hidden-variable model reproducing the quantum mechanical probabilities for a spin singlet is presented. The model violates only the hypothesis of independence of the distribution for the hidden…

Lack of measurement independence can simulate quantum correlations even when signaling can not

- Physics
- 2013

In Bell scenario, any nonlocal correlation, shared between two spatially separated parties, can be modeled deterministically either by allowing communications between the two parties or by…

Relaxed Bell inequalities with arbitrary measurement dependence for each observer

- Computer SciencePhysical Review A
- 2019

Modified Bell inequalities are derived that relax measurement independence, for either or both observers, while remaining locally causal, and it is argued that, contrary to various claims in the literature, relaxing freedom of choice need not imply superdeterminism.

One sided indeterminism alone is not a useful resource to simulate any nonlocal correlation

- PhysicsQuantum Inf. Process.
- 2014

It is found that any amount of randomness in correlations of one party in absence of signaling between two parties is incapable of showing any sort of Bell–CHSH violation, whereas signaling and measurement dependence individually can simulate any nonlocal correlations.

How much measurement independence is needed to demonstrate nonlocality?

- EconomicsPhysical review letters
- 2011

A connection is demonstrated between models that weaken the assumption that measurement settings are freely chosen by the observers, allowing partial correlation, and models that allow classical communication between the distant parties, including models that exploit the detection loophole.