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» BQP and the Polynomial Hierarchy
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STOC
2010
ACM
216views Algorithms» more  STOC 2010»
14 years 2 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 4 months ago
Pseudorandom generators and the BQP vs. PH problem
It is a longstanding open problem to devise an oracle relative to which BQP does not lie in the Polynomial-Time Hierarchy (PH). We advance a natural conjecture about the capacity ...
Bill Fefferman, Christopher Umans
AUTOMATICA
2011
12 years 8 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion
LPNMR
2011
Springer
12 years 7 months ago
Communicating ASP and the Polynomial Hierarchy
Communicating answer set programming is a framework to represent and reason about the combined knowledge of multiple agents using the idea of stable models. The semantics and expre...
Kim Bauters, Steven Schockaert, Dirk Vermeir, Mart...
CORR
2010
Springer
141views Education» more  CORR 2010»
13 years 4 months ago
The Equivalence of Sampling and Searching
In a sampling problem, we are given an input x {0, 1} n , and asked to sample approximately from a probability distribution Dx over poly (n)-bit strings. In a search problem, we ...
Scott Aaronson