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ICALP
2009
Springer
14 years 4 months ago
Bounds on the Size of Small Depth Circuits for Approximating Majority
In this paper, we show that for every constant 0 < < 1/2 and for every constant d 2, the minimum size of a depth d Boolean circuit that -approximates Majority function on n ...
Kazuyuki Amano
FOCS
2000
IEEE
13 years 9 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
LATIN
2010
Springer
13 years 11 months ago
The Size and Depth of Layered Boolean Circuits
We consider the relationship between size and depth for layered Boolean circuits, synchronous circuits and planar circuits as well as classes of circuits with small separators. In ...
Anna Gál, Jing-Tang Jang
FOCS
2008
IEEE
13 years 11 months 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
CORR
2002
Springer
101views Education» more  CORR 2002»
13 years 4 months ago
Quantum Circuits with Unbounded Fan-out
We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denot...
Peter Høyer, Robert Spalek