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EUROCRYPT
2005
Springer
14 years 3 months ago
Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes
It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding ...
Claude Crépeau, Daniel Gottesman, Adam Smit...
FOCS
2005
IEEE
14 years 3 months ago
Cryptography In the Bounded Quantum-Storage Model
We initiate the study of two-party cryptographic primitives with unconditional security, assuming that the adversary’s quantum memory is of bounded size. We show that oblivious ...
Ivan Damgård, Serge Fehr, Louis Salvail, Chr...
SODA
2003
ACM
100views Algorithms» more  SODA 2003»
13 years 11 months ago
Quantum algorithms for some hidden shift problems
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structure of functions, especially periodi...
Wim van Dam, Sean Hallgren, Lawrence Ip
FOCS
2007
IEEE
14 years 4 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
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 10 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