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105
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ICALP
2007
Springer
15 years 6 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...
87
Voted
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
15 years 15 days ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
CORR
2012
Springer
183views Education» more  CORR 2012»
13 years 8 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
102
Voted
STOC
2007
ACM
136views Algorithms» more  STOC 2007»
16 years 28 days ago
Exponential separations for one-way quantum communication complexity, with applications to cryptography
We give an exponential separation between one-way quantum and classical communication protocols for two partial Boolean functions, both of which are variants of the Boolean Hidden...
Dmitry Gavinsky, Julia Kempe, Iordanis Kerenidis, ...
ISAAC
2007
Springer
105views Algorithms» more  ISAAC 2007»
15 years 6 months ago
Unbounded-Error Classical and Quantum Communication Complexity
Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Sh...