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FSTTCS
2001
Springer
14 years 3 days ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson
ECCC
2010
87views more  ECCC 2010»
13 years 6 months ago
On the degree of symmetric functions on the Boolean cube
In this paper we study the degree of non-constant symmetric functions f : {0, 1}n → {0, 1, . . . , c}, where c ∈ N, when represented as polynomials over the real numbers. We s...
Gil Cohen, Amir Shpilka
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
14 years 1 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
ICALP
2005
Springer
14 years 1 months ago
Hadamard Tensors and Lower Bounds on Multiparty Communication Complexity
We develop a new method for estimating the discrepancy of tensors associated with multiparty communication problems in the “Number on the Forehead” model of Chandra, Furst and...
Jeff Ford, Anna Gál