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ECCC
2008
168views more  ECCC 2008»
13 years 5 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
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
13 years 9 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
FOCS
2008
IEEE
13 years 11 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
CORR
2002
Springer
166views Education» more  CORR 2002»
13 years 5 months ago
Quantum Time-Space Tradeoffs for Sorting
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Hartmut Klauck