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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
COCO
2005
Springer
110views Algorithms» more  COCO 2005»
14 years 1 months ago
Prior Entanglement, Message Compression and Privacy in Quantum Communication
Consider a two-party quantum communication protocol for computing some function f : {0, 1}n × {0, 1}n → Z. We show that the first message of P can be compressed to O(k) classi...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
COCO
2008
Springer
108views Algorithms» more  COCO 2008»
13 years 9 months ago
Exponential Separation of Quantum and Classical Non-interactive Multi-party Communication Complexity
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
Dmitry Gavinsky, Pavel Pudlák
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 7 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
ICALP
2007
Springer
14 years 1 months ago
Unbounded-Error One-Way Classical and Quantum Communication Complexity
This paper studies the gap between classical one-way communication complexity C(f) and its quantum counterpart Q(f), under the unbounded-error setting, i.e., it is enough that the ...
Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Sh...