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» On the Circuit Implementation Problem
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STOC
2010
ACM
216views Algorithms» more  STOC 2010»
16 years 4 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson
ECCC
2011
223views ECommerce» more  ECCC 2011»
15 years 1 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
CASC
2009
Springer
119views Mathematics» more  CASC 2009»
16 years 1 months ago
A Symbolic Framework for Operations on Linear Boundary Problems
Abstract. We describe a symbolic framework for treating linear boundary problems with a generic implementation in the Theorema system. For ordinary differential equations, the ope...
Markus Rosenkranz, Georg Regensburger, Loredana Te...
170
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TON
2010
152views more  TON 2010»
15 years 5 months ago
1 + N network protection for mesh networks: network coding-based protection using p-cycles
—p-Cycles have been proposed for preprovisioned 1 : N protection in optical mesh networks. Although the protection circuits are preconfigured, the detection of failures and the ...
Ahmed E. Kamal
MFCS
2004
Springer
15 years 12 months ago
All Superlinear Inverse Schemes Are coNP-Hard
How hard is it to invert NP-problems? We show that all superlinearly certified inverses of NP problems are coNP-hard. To do so, we develop a novel proof technique that builds dia...
Edith Hemaspaandra, Lane A. Hemaspaandra, Harald H...