Title
Quantum algorithm for the asymmetric weight decision problem and its generalization to multiple weights
Abstract
As one of the applications of Grover search, an exact quantum algorithm for the symmetric weight decision problem of a Boolean function has been proposed recently. Although the proposed method shows a quadratic speedup over the classical approach, it only applies to the symmetric case of a Boolean function whose weight is one of the pair {0 w 1 w 2 w 1 + w 2 = 1}. In this article, we generalize this algorithm in two ways. Firstly, we propose a quantum algorithm for the more general asymmetric case where {0 w 1 w 2 w 1 w 2 w m
Year
DOI
Venue
2011
10.1007/s11128-010-0187-9
Quantum Information Processing
Keywords
Field
DocType
Quantum algorithm,Generalized weight decision problem,Query complexity
Boolean function,Discrete mathematics,Quantum,Decision problem,Quantum mechanics,Quantum state,Quadratic equation,Quantum algorithm,Speedup,Physics
Journal
Volume
Issue
ISSN
10
2
1570-0755
Citations 
PageRank 
References 
1
0.37
10
Authors
2
Name
Order
Citations
PageRank
Byung-Soo Choi1467.09
Samuel L. Braunstein2516.86