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Quantum Probabilistic Subroutines and Problems in Number Theory

  • A. Carlini
  • A. Hosoya

Abstract

We describe a quantum version of the classical probabilistic algorithms à la Rabin. The quantum probabilistic algorithm is fully unitary and reversible, and can be used as a subroutine in larger quantum computations. As an example, we describe a polynomial time algorithm for counting the number of primes smaller than a given integer.

Keywords

Quantum algorithms number theory 

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References

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • A. Carlini
    • 1
  • A. Hosoya
    • 1
  1. 1.Department of PhysicsTokyo Institute of TechnologyTokyoJapan

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