Very strong evidence in favor of quantum mechanics and against local hidden variables from a Bayesian analysis
arXiv:1808.06863 · doi:10.1103/PhysRevA.99.022112
Abstract
The data of four recent experiments --- conducted in Delft, Vienna, Boulder, and Munich with the aim of refuting nonquantum hidden-variables alternatives to the quantum-mechanical description --- are evaluated from a Bayesian perspective of what constitutes evidence in statistical data. We find that each of the experiments provides strong, or very strong, evidence in favor of quantum mechanics and against the nonquantum alternatives. This Bayesian analysis supplements the previous non-Bayesian ones, which refuted the alternatives on the basis of small p-values, but could not support quantum mechanics.
arXiv comment18 pages, 5 figures, 17 tables; v2 is final
References in corpus (15)
- 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
- Violations of local realism by two entangled quNits are stronger than for two qubits
- Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
- Superfast maximum likelihood reconstruction for quantum tomography
- Loophole-free Bell test using electron spins in diamond: second experiment and additional analysis
- Optimal error regions for quantum state estimation
- Self-calibrating Quantum State Tomography
- Monte Carlo sampling from the quantum state space. II
- Quantum error correction failure distributions: comparison of coherent and stochastic error models
- Bound entangled states fit for robust experimental verification
- Optimal error intervals for properties of the quantum state
- Self-calibrating tomography for multi-dimensional systems