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» Interactive Proofs For Quantum Computations
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FOCS
2007
IEEE
16 years 2 days 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 10 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»
15 years 5 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 10 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