Closed-form formula on quantum factorization effectiveness

Closed-form formula on quantum factorization effectiveness The quantum factorization effectiveness is limited both by inherent randomness of the quantum measurement and requirement of special selection of parameters controlling behavior of classic algorithms supporting quantum device operation. However, only coarse bounds on probability of successful parameters selection have been published so far. The proof of an exact expression on factorization efficiency constitutes the main contribution of the paper. The proved expression simply relates Shor’s algorithm efficiency to properties of the factors forming the composite number. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Closed-form formula on quantum factorization effectiveness

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Publisher
Springer US
Copyright
Copyright © 2012 by The Author(s)
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-012-0360-4
Publisher site
See Article on Publisher Site

Abstract

The quantum factorization effectiveness is limited both by inherent randomness of the quantum measurement and requirement of special selection of parameters controlling behavior of classic algorithms supporting quantum device operation. However, only coarse bounds on probability of successful parameters selection have been published so far. The proof of an exact expression on factorization efficiency constitutes the main contribution of the paper. The proved expression simply relates Shor’s algorithm efficiency to properties of the factors forming the composite number.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 26, 2012

References

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