تقرير
Form of Contextuality Predicting Probabilistic Equivalence between Two Sets of Three Mutually Noncommuting Observables
| العنوان: | Form of Contextuality Predicting Probabilistic Equivalence between Two Sets of Three Mutually Noncommuting Observables |
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| المؤلفون: | Navara, Mirko, Svozil, Karl |
| المصدر: | Phys. Rev. A 109, 022222 (20 February 2024) |
| سنة النشر: | 2023 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases within the Hilbert space, featuring a state-independent sum of probabilities. In other words, regardless of the initial state preparation, the total probability remains constant but may be distinct from unity. The measurement contextuality in this setup arises from the quantum realizations of the hypergraph, which adhere to a specific bound on the linear combination of probabilities. In contrast, classical realizations can surpass this bound. The violation of quantum bounds stems from the inability of classical ontological models, specifically the set-theoretic representation of the hypergraph corresponding to the quantum observables' collections, to adhere to and explain the observed statistics. Comment: 19 pages, 8 figures, 1 table, dedicated to the memory of Rene Mayet |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.109.022222 |
| URL الوصول: | http://arxiv.org/abs/2309.13091 |
| رقم الأكسشن: | edsarx.2309.13091 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.109.022222 |
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