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» The Proof Complexity of Polynomial Identities
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CORR
2004
Springer
94views Education» more  CORR 2004»
13 years 9 months ago
Quantum Computing, Postselection, and Probabilistic Polynomial-Time
I study the class of problems efficiently solvable by a quantum computer, given the ability to "postselect" on the outcomes of measurements. I prove that this class coin...
Scott Aaronson
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 10 months ago
A new exponential separation between quantum and classical one-way communication complexity
We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity. T...
Ashley Montanaro
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
14 years 4 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
APAL
2008
84views more  APAL 2008»
13 years 10 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 10 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky