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» BQP and the Polynomial Hierarchy
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ICONIP
2009
14 years 7 months ago
Quasi-Deterministic Partially Observable Markov Decision Processes
We study a subclass of POMDPs, called quasi-deterministic POMDPs (QDET-POMDPs), characterized by deterministic actions and stochastic observations. While this framework does not mo...
Camille Besse, Brahim Chaib-draa
FOCS
2003
IEEE
15 years 2 months ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
Andrej Bogdanov, Luca Trevisan
81
Voted
COCO
1989
Springer
97views Algorithms» more  COCO 1989»
15 years 1 months ago
On the Structure of Bounded Queries to Arbitrary NP Sets
Kadin [6] showed that if the Polynomial Hierarchy (PH) has infinitely many levels, then for all k, PSAT[k] ⊂ PSAT[k+1]. This paper extends Kadin’s technique and shows that a p...
Richard Chang
TCC
2009
Springer
123views Cryptology» more  TCC 2009»
15 years 10 months ago
Hierarchical Identity Based Encryption with Polynomially Many Levels
We present the first hierarchical identity based encryption (HIBE) system that has full security for more than a constant number of levels. In all prior HIBE systems in the literat...
Craig Gentry, Shai Halevi
CC
2006
Springer
101views System Software» more  CC 2006»
14 years 9 months ago
Inductive Time-Space Lower Bounds for Sat and Related Problems
We improve upon indirect diagonalization arguments for lower bounds on explicit problems within the polynomial hierarchy. Our contributions are summarized as follows.
Ryan Williams