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Church–Turing–Deutsch principle

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Title: Church–Turing–Deutsch principle  
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Language: English
Subject: Alan Turing, Digital physics, List of eponyms (A–K), CTD, Principles
Collection: Alan Turing, Computability Theory, Principles, Theory of Computation
Publisher: World Heritage Encyclopedia

Church–Turing–Deutsch principle

In computer science and quantum physics, the Church–Turing–Deutsch principle (CTD principle[1]) is a stronger, physical form of the Church–Turing thesis formulated by David Deutsch in 1985.


  • Statement 1
  • History 2
  • See also 3
  • Notes 4
  • General References 5
  • Further reading 6
  • External links 7


The principle states that a universal computing device can simulate every physical process.


The principle was originally stated by Deutsch with respect to finitary machines and processes. He immediately observed that classical physics, which makes use of the concept of real numbers, cannot be simulated by a Turing machine, which can only represent computable reals.

Deutsch proposed that quantum computers may actually obey the CTD principle, assuming that the laws of quantum physics can completely describe every physical process.

See also


  1. ^ Nielsen, Michael. "Interesting problems: The Church–Turing–Deutsch Principle". Retrieved 10 May 2014. 

General References

  • Deutsch, D. (1985). "Quantum theory, the Church–Turing principle and the universal quantum computer" (PDF). Proceedings of the Royal Society (London) 400: 97–117.  

Further reading

  • Deutsch, D. (1997). "6: Universality and the Limits of Computation".  
  • Christopher G. Timpson Quantum Computers: the Church-Turing Hypothesis Versus the Turing Principle in Christof Teuscher, Douglas Hofstadter (eds.) Alan Turing: life and legacy of a great thinker, Springer, 2004, ISBN 3-540-20020-7, pp. 213–240

External links


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