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- W1640478980 abstract "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." @default.
- W1640478980 created "2016-06-24" @default.
- W1640478980 creator A5061880427 @default.
- W1640478980 date "2004-02-18" @default.
- W1640478980 modified "2023-09-27" @default.
- W1640478980 title "Computable Functions, the Church-Turing Thesis and the Quantum Measurement Problem" @default.
- W1640478980 hasPublicationYear "2004" @default.
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