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» Bounds for Error Reduction with Few Quantum Queries
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APPROX
2005
Springer
104views Algorithms» more  APPROX 2005»
13 years 10 months ago
Bounds for Error Reduction with Few Quantum Queries
We consider the quantum database search problem, where we are given a function f : [N] → {0, 1}, and are required to return an x ∈ [N] (a
Sourav Chakraborty, Jaikumar Radhakrishnan, Nandak...
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 5 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
ICIC
2007
Springer
13 years 11 months ago
Quantum Integration Error on Some Classes of Multivariate Functions
Abstract. We study the approximation of the integration of multivariate functions classes in the quantum model of computation. We first obtain a lower bound of the n-th minimal qu...
Peixin Ye, Qing He
ICALP
2003
Springer
13 years 10 months ago
Quantum Search on Bounded-Error Inputs
Suppose we have n algorithms, quantum or classical, each computing some bit-value with bounded error probability. We describe a quantum algorithm that uses O( √ n) repetitions of...
Peter Høyer, Michele Mosca, Ronald de Wolf
CORR
1998
Springer
106views Education» more  CORR 1998»
13 years 4 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf