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QCQC
1998
Springer
173views Communications» more  QCQC 1998»
15 years 1 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»
15 years 3 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»
14 years 11 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»
15 years 10 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
15 years 3 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...