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» Computational Power of the Quantum Turing Automata
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FOCS
2007
IEEE
13 years 11 months ago
The Power of Quantum Systems on a Line
: We study the computational strength of quantum particles (each of finite dimensionality) arranged on a line. First, we prove that it is possible to perform universal adiabatic q...
Dorit Aharonov, Daniel Gottesman, Sandy Irani, Jul...
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 2 months ago
Infinite Time Cellular Automata: A Real Computation Model
We define a new transfinite time model of computation, infinite time cellular automata. The model is shown to be as powerful than infinite time Turing machines, both on finite and ...
Fabien Givors, Grégory Lafitte, Nicolas Oll...
CORR
2011
Springer
193views Education» more  CORR 2011»
13 years 8 days ago
Advice Coins for Classical and Quantum Computation
We study the power of classical and quantum algorithms equipped with nonuniform advice, in the form of a coin whose bias encodes useful information. This question takes on particu...
Scott Aaronson, Andrew Drucker
JAC
2008
13 years 6 months ago
Rule 110: universality and catenations
Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
Gaétan Richard
JCSS
2008
120views more  JCSS 2008»
13 years 5 months ago
Quantum certificate complexity
Given a Boolean function f, we study two natural generalizations of the certificate complexity C (f): the randomized certificate complexity RC (f) and the quantum certificate comp...
Scott Aaronson