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» The complexity of the Quantum Adiabatic Algorithm
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STACS
2010
Springer
15 years 5 months ago
An Efficient Quantum Algorithm for Some Instances of the Group Isomorphism Problem
In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved effi...
François Le Gall
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
15 years 4 days ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
82
Voted
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
15 years 3 months ago
Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information
Entanglement is an essential resource for quantum communication and quantum computation, similar to shared random bits in the classical world. Entanglement distillation extracts n...
Andris Ambainis, Ke Yang
CDES
2008
87views Hardware» more  CDES 2008»
14 years 11 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...
FOCS
2008
IEEE
15 years 4 months ago
The Bayesian Learner is Optimal for Noisy Binary Search (and Pretty Good for Quantum as Well)
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: • Each comparison is erroneous with independent probability 1 − p. ...
Michael Ben-Or, Avinatan Hassidim