Pearle’s Hidden-Variable Model Revisited
| Autor: | Richard D. Gill |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Normalization (statistics)
Quantum Physics Discussion Pearle’s model Bell’s theorem General Physics and Astronomy FOS: Physical sciences 02 engineering and technology detection loophole 021001 nanoscience & nanotechnology 01 natural sciences Bell's theorem Hidden variable theory 81P45 0103 physical sciences Code (cryptography) computer simulation Particle Statistical physics 010306 general physics 0210 nano-technology Quantum Physics (quant-ph) Mathematics |
| Zdroj: | Entropy |
| ISSN: | 1099-4300 |
| Popis: | Pearle (1970) gave an example of a local hidden variables model which exactly reproduced the singlet correlations of quantum theory, through the device of data-rejection: particles can fail to be detected in a way which depends on the hidden variables carried by the particles and on the measurement settings. If the experimenter computes correlations between measurement outcomes of particle pairs for which both particles are detected, he is actually looking at a subsample of particle pairs, determined by interaction involving both measurement settings and the hidden variables carried in the particles. We correct a mistake in Pearle's formulas (a normalization error) and more importantly show that the model is more simple than first appears. We illustrate with visualisations of the model and with a small simulation experiment, with code in the statistical programming language R included in the paper. Open problems are discussed. Comment: 19pp. This is now arXiv version 4 = final revision for journal |
| Databáze: | OpenAIRE |
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