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» Interactive Proofs For Quantum Computations
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FOCS
2007
IEEE
15 years 6 months ago
The Power of Quantum Systems on a Line
: We study the computational strength of quantum particles (each of finite dimensionality) arranged on a line. First, we prove that it is possible to perform universal adiabatic q...
Dorit Aharonov, Daniel Gottesman, Sandy Irani, Jul...
STOC
1997
ACM
122views Algorithms» more  STOC 1997»
15 years 3 months ago
Fault-Tolerant Quantum Computation With Constant Error
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
Dorit Aharonov, Michael Ben-Or
IPL
2000
77views more  IPL 2000»
14 years 11 months ago
Simplified proof of the Fourier Sampling Theorem
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
Peter Høyer
STOC
2000
ACM
97views Algorithms» more  STOC 2000»
15 years 4 months ago
Quantum lower bounds by quantum arguments
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input,...
Andris Ambainis