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» The complexity of the Quantum Adiabatic Algorithm
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CPHYSICS
2011
199views Education» more  CPHYSICS 2011»
12 years 11 months ago
The complexity of the Quantum Adiabatic Algorithm
A. P. Young, S. Knysh, V. N. Smelyanskiy
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 5 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson
AMC
2006
104views more  AMC 2006»
13 years 4 months ago
Three counterexamples refuting Kieu's plan for "quantum adiabatic hypercomputation"; and some uncomputable quantum mechanical ta
-- Tien D. Kieu, in 10 papers posted to the quant-ph section of the xxx.lanl.gov preprint archive [some of which were also published in printed journals such as Proc. Royal Soc. A ...
Warren D. Smith
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 5 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...
STOC
2003
ACM
174views Algorithms» more  STOC 2003»
14 years 5 months ago
Adiabatic quantum state generation and statistical zero knowledge
The design of new quantum algorithms has proven to be an extremely difficult task. This paper considers a different approach to the problem, by studying the problem of 'quant...
Dorit Aharonov, Amnon Ta-Shma