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» One-dimensional quantum walks
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CORR
2002
Springer
91views Education» more  CORR 2002»
13 years 8 months ago
Quantum Random Walks Hit Exponentially Faster
We show that the hitting time of the discrete time quantum random walk on the n-bit hypercube from one corner to its opposite is polynomial in n. This gives the first exponential ...
Julia Kempe
AIPS
2006
13 years 9 months ago
Automated Planning Using Quantum Computation
This paper presents an adaptation of the standard quantum search technique to enable application within Dynamic Programming, in order to optimise a Markov Decision Process. This i...
Sanjeev Naguleswaran, Langford B. White, I. Fuss
WSC
2007
13 years 10 months ago
Rare-event simulation for a multidimensional random walk with t distributed increments
We consider the problem of efficient estimation of first passage time probabilities for a multidimensional random walk with t distributed increments, via simulation. In addition...
Jose H. Blanchet, Jingchen Liu
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 9 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...
TOC
2008
75views more  TOC 2008»
13 years 8 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann