Quantum theory, the Church–Turing principle and the universal quantum computer

@article{Deutsch1985QuantumTT,
  title={Quantum theory, the Church–Turing principle and the universal quantum computer},
  author={D. Deutsch},
  journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  year={1985},
  volume={400},
  pages={117 - 97}
}
  • D. Deutsch
  • Published 1985
  • Mathematics
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • It is argued that underlying the Church–Turing hypothesis there is an implicit physical assertion. Here, this assertion is presented explicitly as a physical principle: ‘every finitely realizible physical system can be perfectly simulated by a universal model computing machine operating by finite means’. Classical physics and the universal Turing machine, because the former is continuous and the latter discrete, do not obey the principle, at least in the strong form above. A class of model… CONTINUE READING
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      References

      SHOWING 1-10 OF 32 REFERENCES
      Church's Thesis and Principles for Mechanisms
      • 328
      On the Einstein-Podolsky-Rosen paradox
      • 5,440
      On quantum-mechanical automata
      • 48
      Universal upper bound on the entropy-to-energy ratio for bounded systems
      • 731
      • Highly Influential
      Computation and Construction Universality of Reversible Cellular Automata
      • T. Toffoli
      • Mathematics, Computer Science
      • J. Comput. Syst. Sci.
      • 1977
      • 211
      • PDF
      Black holes and entropy
      • 4,228
      Gödel, Escher, Bach: An Eternal Golden Braid
      • 1,154
      • Highly Influential
      The Logic of Scientific Discovery.
      • 5,446
      1976Conceptual foundations of quantum mechanics (second edn)
      • 1976
      Int. J. theor. Phys
      • Int. J. theor. Phys
      • 1985