An information-theoretic analysis of Grover's algorithm
Date
2003-06-07
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
IEEE International Symposium on Information Theory, 2003 - Proceedings
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
339 - 347
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Usage Stats
2
views
views
22
downloads
downloads
Series
Abstract
Grover discovered a quantum algorithm for identifying a target element in an unstructured search universe of N items in approximately 1r/4VN queries to a quantum oracle. For classical search using a classical oracle, the search complexity is of order N /2 queries since on average half of the items must be searched. In work preceding Grover's, Bennett et al. had shown that no quantum algorithm can solve the search problem in fewer than D(VN) queries. Thus, Grover's algorithm has optimal order of complexity. Here, we present an informationtheoretic analysis of Grover's algorithm and show that the square-root speed-up by Grover's algorithm is the best possible by any algorithm using the same quantum oracle.