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» The complexity of the Quantum Adiabatic Algorithm
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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
15 years 3 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
LOGCOM
2010
120views more  LOGCOM 2010»
14 years 4 months ago
Paraconsistent Machines and their Relation to Quantum Computing
We describe a method to axiomatize computations in deterministic Turing machines (TMs). When applied to computations in non-deterministic TMs, this method may produce contradictor...
Juan C. Agudelo, Walter Alexandre Carnielli
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
15 years 10 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
83
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SODA
2010
ACM
200views Algorithms» more  SODA 2010»
15 years 7 months ago
Algorithms for ray class groups and Hilbert class fields
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
Sean Hallgren, Kirsten Eisentraeger
FOCS
2000
IEEE
15 years 2 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