Statistical analysis of Bell tests via generalized measurements

2025/05/12 by Alfredo Luis, Luis, Alfredo · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2505.07474

openalex publication_date 2025/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a fully statistical analysis of the results of a Bell test beyond mean values. This is possible in a practical scheme where all the observables involved in the test are simultaneously measured at the expense of unavoidably additional noise. To deal with this noise we can follow two strategies leading to the same results. These are to adapt the Bell bound to include the noise, or to remove the additional noise via suitable data inversion.

Citations

• A possible statistics loophole in Bell's theorem
• Remarks on the use of objective probabilities in Bell-CHSH inequalities
• Negative Probabilities and Contextuality
• Joint measurement of two unsharp observables of a qubit
• Foundations of Quantum Mechanics, an Empiricist Approach
• Bell inequalities and Entanglement
• Consistent Families of Measures and Their Extensions

Cited by

• Generalized measurements for Bell tests in different probability spaces

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