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STOC
2002
ACM
126views Algorithms» more  STOC 2002»
16 years 1 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
CDES
2008
87views Hardware» more  CDES 2008»
15 years 2 months ago
Finding Minimal ESCT Expressions for Boolean Functions with Weight of up to 7
In this paper an algorithm is proposed for the synthesis and exact minimization of ESCT (Exclusive or Sum of Complex Terms) expressions for Boolean functions of up to seven comple...
Dimitrios Voudouris, Marinos Sampson, George K. Pa...
97
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FOCS
2000
IEEE
15 years 5 months ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous
COCO
2007
Springer
109views Algorithms» more  COCO 2007»
15 years 6 months ago
Perfect Parallel Repetition Theorem for Quantum XOR Proof Systems
We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier’s verdict is a function of the XOR of the tw...
Richard Cleve, William Slofstra, Falk Unger, Sarva...
96
Voted
ISNN
2009
Springer
15 years 7 months ago
An Improved Quantum Evolutionary Algorithm with 2-Crossovers
Quantum evolutionary algorithm (QEA) is proposed on the basis of the concept and principles of quantum computing, which is a classical metaheuristic algorithm for the approximate s...
Zhihui Xing, Haibin Duan, Chunfang Xu