Title
The complexity of black-box ring problems
Abstract
We study the complexity of some computational problems on finite black-box rings whose elements are encoded as strings of a given length and the ring operations are performed by a black-box oracle. We give a polynomial-time quantum algorithm to compute a basis representation for a given black-box ring. Using this result we obtain polynomial-time quantum algorithms for several natural computational problems over black-box rings.
Year
DOI
Venue
2006
10.1007/11809678_15
COCOON
Keywords
Field
DocType
computational problem,black-box oracle,polynomial-time quantum algorithm,finite black-box ring,natural computational problem,black-box ring,ring operation,basis representation,black-box ring problem,quantum algorithm,polynomial time,natural computing
Quantum complexity theory,Asymptotic computational complexity,Discrete mathematics,Computational problem,Combinatorics,Polynomial ring,Computer science,Quantum computer,Quantum algorithm,Time complexity,Computational resource
Conference
Volume
ISSN
ISBN
4112
0302-9743
3-540-36925-2
Citations 
PageRank 
References 
2
0.45
11
Authors
3
Name
Order
Citations
PageRank
V. Arvind112212.03
Bireswar Das26610.61
Partha Mukhopadhyay39112.71