Schrödinger’s Paradox and Proofs of Nonlocality Using Only Perfect Correlations
| Autor: | Jean Bricmont, Douglas Hemmick, Sheldon Goldstein |
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| Rok vydání: | 2019 |
| Předmět: |
Quantum Physics
De Broglie–Bohm theory Statistical and Nonlinear Physics Observable Mathematical proof 01 natural sciences 010305 fluids & plasmas symbols.namesake Theoretical physics Quantum nonlocality 81Pxx 0103 physical sciences symbols Quantum system Einstein 010306 general physics Quantum Mathematical Physics Schrödinger's cat Mathematics |
| Zdroj: | Journal of Statistical Physics. 180:74-91 |
| ISSN: | 1572-9613 0022-4715 |
| Popis: | We discuss proofs of nonlocality based on a generalization by Erwin Schr\"odinger of the argument of Einstein, Podolsky and Rosen. These proofs do not appeal in any way to Bell's inequalities. Indeed, one striking feature of the proofs is that they can be used to establish nonlocality solely on the basis of suitably robust perfect correlations. First we explain that Schr\"odinger's argument shows that locality and the perfect correlations between measurements of observables on spatially separated systems implies the existence of a non-contextual value-map for quantum observables; non-contextual means that the observable has a particular value before its measurement, for any given quantum system, and that any experiment "measuring this observable" will reveal that value. Then, we establish the impossibility of a non-contextual value-map for quantum observables {\it without invoking any further quantum predictions}. Combining this with Schr\"odinger's argument implies nonlocality. Finally, we illustrate how Bohmian mechanics is compatible with the impossibility of a non-contextual value-map. Comment: 30 pages, 2 figures |
| Databáze: | OpenAIRE |
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