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STOC
1996
ACM
97views Algorithms» more  STOC 1996»
13 years 11 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
FOCS
2000
IEEE
13 years 11 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
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
13 years 9 months ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
COCO
2005
Springer
130views Algorithms» more  COCO 2005»
13 years 9 months ago
Pseudorandom Bits for Constant Depth Circuits with Few Arbitrary Symmetric Gates
We exhibit an explicitly computable ‘pseudorandom’ generator stretching l bits into m(l) = lΩ(log l) bits that look random to constant-depth circuits of size m(l) with log m...
Emanuele Viola