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» On the Complexity of Quantum ACC
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COCO
2000
Springer
65views Algorithms» more  COCO 2000»
13 years 12 months ago
On the Complexity of Quantum ACC
For any q > 1, let MODq be a quantum gate that determines if the number of 1’s in the input is divisible by q. We show that for any q, t > 1, MODq is equivalent to MODt (u...
Frederic Green, Steven Homer, Chris Pollett
IPL
2006
104views more  IPL 2006»
13 years 7 months ago
The communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
Wei Huang, Yaoyun Shi, Shengyu Zhang, Yufan Zhu
SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 10 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
CIE
2007
Springer
14 years 1 months ago
Circuit Complexity of Regular Languages
We survey our current knowledge of circuit complexity of regular languages and we prove that regular languages that are in AC0 and ACC0 are all computable by almost linear size ci...
Michal Koucký
BIRTHDAY
2010
Springer
13 years 5 months ago
A Logic for PTIME and a Parameterized Halting Problem
In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...
Yijia Chen, Jörg Flum