On zeros of exponential polynomials and quantum algorithms

On zeros of exponential polynomials and quantum algorithms We calculate the zeros of an exponential polynomial of some variables by a classical algorithm and quantum algorithms which are based on the method of van Dam and Shparlinski, they treated the case of two variables, and compare with the time complexity of those cases. Further we consider the ratio (classical/quantum) of the exponent in the time complexity. Then we can observe the ratio is virtually 2 when the number of the variables is sufficiently large. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

On zeros of exponential polynomials and quantum algorithms

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Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer Science+Business Media, LLC
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/s11128-009-0148-3
Publisher site
See Article on Publisher Site

Abstract

We calculate the zeros of an exponential polynomial of some variables by a classical algorithm and quantum algorithms which are based on the method of van Dam and Shparlinski, they treated the case of two variables, and compare with the time complexity of those cases. Further we consider the ratio (classical/quantum) of the exponent in the time complexity. Then we can observe the ratio is virtually 2 when the number of the variables is sufficiently large.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 22, 2009

References

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