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107
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ENTCS
2011
131views more  ENTCS 2011»
14 years 7 months ago
Computational Complexity in Non-Turing Models of Computation: The What, the Why and the How
We preliminarily recap what is meant by complexity and non-Turing computation, by way of explanation of our title, ‘Computational Complexity in Non-Turing Models of Computationâ...
Ed Blakey
105
Voted
FSTTCS
2009
Springer
15 years 7 months ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...
83
Voted
CORR
2006
Springer
155views Education» more  CORR 2006»
15 years 22 days ago
Complexity and Philosophy
The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinis...
Francis Heylighen, Paul Cilliers, Carlos Gershenso...
FOCS
2003
IEEE
15 years 6 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev
FOCS
2003
IEEE
15 years 6 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis