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STACS
2007
Springer
16 years 16 days ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
IMA
2003
Springer
125views Cryptology» more  IMA 2003»
15 years 11 months ago
Commitment Capacity of Discrete Memoryless Channels
In extension of the bit commitment task and following work initiated by Crépeau and Kilian, we introduce and solve the problem of characterising the optimal rate at which a discr...
Andreas Winter, Anderson C. A. Nascimento, Hideki ...
EJC
2010
15 years 6 months ago
On the equivalence between real mutually unbiased bases and a certain class of association schemes
Mutually unbiased bases (MUBs) in complex vector spaces play several important roles in quantum information theory. At present, even the most elementary questions concerning the m...
Nicholas LeCompte, William J. Martin, William Owen...
COMPUTING
2006
119views more  COMPUTING 2006»
15 years 6 months ago
Sparse Grids, Adaptivity, and Symmetry
Sparse grid methods represent a powerful and efficient technique for the representation and approximation of functions and particularly the solutions of partial differential equat...
Harry Yserentant
CPHYSICS
2006
103views more  CPHYSICS 2006»
15 years 6 months ago
A band factorization technique for transition matrix element asymptotics
A new method of evaluating transition matrix elements between wave functions associated with orthogonal polynomials is proposed. The technique relies on purely algebraic manipulat...
Emmanuel Perrey-Debain, I. David Abrahams