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» The One-Way Communication Complexity of Hamming Distance
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2008
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13 years 6 months ago
The One-Way Communication Complexity of Hamming Distance
Abstract: Consider the following version of the Hamming distance problem for
T. S. Jayram, Ravi Kumar, D. Sivakumar
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
13 years 10 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
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
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 4 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
COCO
2009
Springer
131views Algorithms» more  COCO 2009»
14 years 1 months ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti