Strengths and Weaknesses of Quantum Computing
SIAM Journal on Computing
An Exact Quantum Polynomial-Time Algorithm for Simon's Problem
ISTCS '97 Proceedings of the Fifth Israel Symposium on the Theory of Computing Systems (ISTCS '97)
Tight bounds on quantum searching
Tight bounds on quantum searching
Improved algorithms for quantum identification of boolean oracles
SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
A hybrid method for quantum global optimization
Journal of Global Optimization
Achieving perfect completeness in classical-witness quantum merlin-arthur proof systems
Quantum Information & Computation
Topological Structure of Quantum Algorithms
LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
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In this paper we give a quantum mechanical algorithm that can search a database by a single query when the number of solutions is more than a quarter. It utilizes the generalized Grover operator of arbitrary phase.