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CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 5 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
FOCS
1998
IEEE
13 years 9 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
ITNG
2007
IEEE
13 years 11 months ago
Computational Power of the Quantum Turing Automata
Lots of efforts in the last decades have been done to prove or disprove whether the set of polynomially bounded problems is equal to the set of polynomially verifiable problems. T...
Sina Jafarpour, Mohammad Ghodsi, Keyvan Sadri, Zuh...
MKM
2009
Springer
13 years 11 months ago
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra
Graphical languages provide a powerful tool for describing the behaviour of quantum systems. While the use of graphs vastly reduces the complexity of many calculations [4,10], manu...
Aleks Kissinger
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