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

Loading next page...
 
/lp/springer_journal/closed-form-formula-on-quantum-factorization-effectiveness-Bf1zc7CF5w
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

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off