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» Quantum lower bounds for the Goldreich-Levin problem
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STOC
2009
ACM
107views Algorithms» more  STOC 2009»
15 years 10 months ago
Efficient discrete-time simulations of continuous-time quantum query algorithms
The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuo...
Richard Cleve, Daniel Gottesman, Michele Mosca, Ro...
ICALP
2005
Springer
15 years 3 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
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
STOC
1998
ACM
112views Algorithms» more  STOC 1998»
15 years 1 months ago
Quantum Circuits with Mixed States
Current formal models for quantum computation deal only with unitary gates operating on “pure quantum states”. In these models it is difficult or impossible to deal formally w...
Dorit Aharonov, Alexei Kitaev, Noam Nisan
CORR
2010
Springer
160views Education» more  CORR 2010»
14 years 9 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...