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COCO
2009
Springer
119views Algorithms» more  COCO 2009»
13 years 11 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
14 years 5 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
IPL
2006
104views more  IPL 2006»
13 years 4 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
STOC
2006
ACM
149views Algorithms» more  STOC 2006»
14 years 5 months ago
Bounded-error quantum state identification and exponential separations in communication complexity
We consider the problem of bounded-error quantum state identification: given either state 0 or state 1, we are required to output `0', `1' or `?' ("don't ...
Dmitry Gavinsky, Julia Kempe, Oded Regev, Ronald d...
ANSS
2005
IEEE
13 years 10 months ago
The Bubble Bit Technique as Improvement of HDL-Based Quantum Circuits Simulation
When performed on a classical computer, the simulation of quantum circuits is usually an exponential job. The methodology based on Hardware Description Languages is able to isolat...
Mihai Udrescu, Lucian Prodan, Mircea Vladutiu