تقرير
How Real is Incomputability in Physics?
| العنوان: | How Real is Incomputability in Physics? |
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| المؤلفون: | Trejo, José Manuel Agüero, Calude, Cristian S., Dinneen, Michael J., Fedorov, Arkady, Kulikov, Anatoly, Navarathna, Rohit, Svozil, Karl |
| المصدر: | Theoretical Computer Science 1003, 114632 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Computer Science - Computational Complexity |
| الوصف: | A physical system is determined by a finite set of initial conditions and "laws" represented by equations. The system is computable if we can solve the equations in all instances using a "finite body of mathematical knowledge". In this case, if the laws of the system can be coded into a computer program, then given the initial conditions of the system, one can compute the system's evolution. Are there incomputable physical systems? This question has been theoretically studied in the last 30-40 years. In this paper, we experimentally show for the first time the strong incomputability of a quantum experiment, namely the outputs of a quantum random number generator. Moreover, the experimental results are robust and statistically significant. Comment: 20 pages, 3 figures, 2 tables, final submitted version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.tcs.2024.114632 |
| URL الوصول: | http://arxiv.org/abs/2311.00908 |
| رقم الأكسشن: | edsarx.2311.00908 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.tcs.2024.114632 |
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