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COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 26 days ago
Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information
Entanglement is an essential resource for quantum communication and quantum computation, similar to shared random bits in the classical world. Entanglement distillation extracts n...
Andris Ambainis, Ke Yang
FOCS
2008
IEEE
14 years 1 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
ECCC
2008
168views more  ECCC 2008»
13 years 7 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
CORR
2011
Springer
180views Education» more  CORR 2011»
13 years 1 months ago
A Formalization of Polytime Functions
Abstract. We present a deep embedding of Bellantoni and Cook’s syntactic characterization of polytime functions. We prove formally that it is correct and complete with respect to...
Sylvain Heraud, David Nowak
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 4 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...