Computable Functions, the Church-Turing Thesis and the Quantum Measurement Problem
| dc.creator | Srikanth, R. | |
| dc.date | 2004-02-18 | |
| dc.date | 2004-02-18 | |
| dc.date.accessioned | 2026-07-07T06:09:02Z | |
| dc.date.available | 2026-07-07T06:09:02Z | |
| dc.description | It is possible in principle to construct quantum mechanical observables and unitary operators which, if implemented in physical systems as measurements and dynamical evolution, would contradict the Church-Turing thesis, which lies at the foundation of computer science. Elsewhere we have argued that the quantum measurement problem implies a finite, computational model of the measurement and evolution of quantum states. If correct, this approach helps to identify the key feature that can reconcile quantum mechanics with the Church-Turing thesis: finitude of the degree of fine-graining of Hilbert space. This suggests that the Church-Turing thesis constrains the physical universe and thereby highlights a surprising connection between purely logical and algorithmic considerations on the one hand and physical reality on the other. | |
| dc.description | 5 pages, no figures, REVTeX4 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0402128 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0402128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91836 | |
| dc.subject | Quantum Physics | |
| dc.title | Computable Functions, the Church-Turing Thesis and the Quantum Measurement Problem | |
| dc.type | text |