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» Fixed-Polynomial Size Circuit Bounds
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STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 10 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 8 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 25 days ago
Reconstruction of Generalized Depth-3 Arithmetic Circuits with Bounded Top Fan-in
In this paper we give reconstruction algorithms for depth-3 arithmetic circuits with k multiplication gates (also known as ΣΠΣ(k) circuits), where k = O(1). Namely, we give an ...
Zohar Shay Karnin, Amir Shpilka
FOCS
2000
IEEE
13 years 10 months ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous
FOCS
2008
IEEE
14 years 21 days ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay