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» One Complexity Theorist's View of Quantum Computing
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90
Voted
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
15 years 3 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...
105
Voted
EUROCRYPT
2011
Springer
14 years 27 days ago
Concurrent Composition in the Bounded Quantum Storage Model
We define the BQS-UC model, a variant of the UC model, that deals with protocols in the bounded quantum storage model. We present a statistically secure commitment protocol in th...
Dominique Unruh
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 9 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
CORR
2010
Springer
109views Education» more  CORR 2010»
14 years 9 months ago
Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity
A Direct Sum Theorem holds in a model of computation, when for every problem solving some k input instances together is k times as expensive as solving one. We show that Direct Su...
Rahul Jain, Hartmut Klauck, Miklos Santha
NIPS
2004
14 years 10 months ago
Real-Time Pitch Determination of One or More Voices by Nonnegative Matrix Factorization
An auditory "scene", composed of overlapping acoustic sources, can be viewed as a complex object whose constituent parts are the individual sources. Pitch is known to be...
Fei Sha, Lawrence K. Saul