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CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 7 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
JACM
2006
146views more  JACM 2006»
13 years 7 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman
AIEDAM
2008
127views more  AIEDAM 2008»
13 years 7 months ago
Evolving blackbox quantum algorithms using genetic programming
Although it is known that quantum computers can solve certain computational problems exponentially faster than classical computers, only a small number of quantum algorithms have ...
Ralf Stadelhofer, Wolfgang Banzhaf, Dieter Suter
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 9 months 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
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 7 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak