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» BQP and the Polynomial Hierarchy
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MST
2010
83views more  MST 2010»
14 years 8 months ago
Does the Polynomial Hierarchy Collapse if Onto Functions are Invertible?
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
FSTTCS
2006
Springer
15 years 1 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 1 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
ICALP
2005
Springer
15 years 3 months ago
Time-Space Lower Bounds for the Polynomial-Time Hierarchy on Randomized Machines
We establish the first polynomial-strength time-space lower bounds for problems in the lineartime hierarchy on randomized machines with two-sided error. We show that for any inte...
Scott Diehl, Dieter van Melkebeek