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» The complexity of the Quantum Adiabatic Algorithm
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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
15 years 7 months ago
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a p...
Rahul Jain, Zhengfeng Ji, Sarvagya Upadhyay and Jo...
ANTS
2004
Springer
109views Algorithms» more  ANTS 2004»
15 years 3 months ago
On the Complexity of Computing Units in a Number Field
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Vikraman Arvind, Piyush P. Kurur
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FCT
2005
Springer
15 years 3 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
ISNN
2009
Springer
15 years 4 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