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» On the Complexity of Quantum ACC
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QCQC
1998
Springer
173views Communications» more  QCQC 1998»
13 years 11 months ago
Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits
The quantum Fourier transform (QFT), a quantum analog of the classical Fourier transform, has been shown to be a powerful tool in developing quantum algorithms. However, in classi...
Amir Fijany, Colin P. Williams
FOCS
1998
IEEE
13 years 11 months ago
The Quantum Communication Complexity of Sampling
Sampling is an important primitive in probabilistic and quantum algorithms. In the spirit of communication complexity, given a function f : X
Andris Ambainis, Leonard J. Schulman, Amnon Ta-Shm...
COCO
1998
Springer
109views Algorithms» more  COCO 1998»
13 years 11 months ago
Complexity Limitations on Quantum Computation
We use the powerful tools of counting complexity and generic oracles to help understand the limitations of the complexity of quantum computation. We show several results for the p...
Lance Fortnow, John D. Rogers
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 7 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 7 months ago
Zero-knowledge against quantum attacks
It is proved that several interactive proof systems are zero-knowledge against general quantum attacks. This includes the Goldreich?Micali?Wigderson classical zero-knowledge proto...
John Watrous