Computable functions, quantum measurements, and quantum dynamics

Details Computable functions, quantum measurements, and quantum dynamics Computable functions, quantum measurements, and quantum dynamics

1997-06-03

arxiv.org/abs/quant-ph/9706006v1

Phys.Rev.Lett. 79 (1997) 2915-2918

Physics

Quantum Physics

4 pages, REVTEX

Scientific paper

10.1103/PhysRevLett.79.2915

We construct quantum mechanical observables and unitary operators which, if implemented in physical systems as measurements and dynamical evolutions, would contradict the Church-Turing thesis which lies at the foundation of computer science. We conclude that either the Church-Turing thesis needs revision, or that only restricted classes of observables may be realized, in principle, as measurements, and that only restricted classes of unitary operators may be realized, in principle, as dynamics.

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