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On the Speed of Quantum Computation

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  • Tino Gramss

Abstract

Feynman and Margolus have shown that a closed, locally interacting quantum system is capable of performing deterministic computation. Feynman's system computes in a serial way. Margolus was able to extend Feynman's ideas to get quantum description of a cellular automaton, i.e. a model which calculates in parallel. In this, article, a new kind of speed limit for quantum computation is established. An upper bound on the average velocity (``instructions per second'') for both computers is derived. One would expect a cellular automaton to have a computational velocity which scales with the number {\it k} of its cells. However, the upper bound on the average velocity is only proportional to $\sqrt{k}$ in this case. This does not reflect the parallelism of the cellular automaton. Whether it is possible to construct a locally interacting quantum computer that really works in parallel remains an open problem.

Suggested Citation

  • Tino Gramss, 1994. "On the Speed of Quantum Computation," Working Papers 94-04-017, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:94-04-017
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    Cited by:

    1. Tino Gramss, 1995. "On the Speed of Quantum Computers with Finite Size Clocks," Working Papers 95-10-086, Santa Fe Institute.

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