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CORR
2011
Springer
161views Education» more  CORR 2011»
14 years 5 months ago
The physical Church-Turing thesis and the principles of quantum theory
Abstract. Notoriously, quantum computation shatters complexity theory, but is innocuous to computability theory [17]. Yet several works have shown how quantum theory as it stands c...
Pablo Arrighi, Gilles Dowek
CIE
2007
Springer
15 years 4 months ago
From Logic to Physics: How the Meaning of Computation Changed over Time
The intuition guiding the de…nition of computation has shifted over time, a process that is re‡ected in the changing formulations of the Church-Turing thesis. The theory of co...
Itamar Pitowsky
FCS
2006
14 years 11 months ago
The Church-Turing-Deutsch Principle in Quantum Computation
This paper is based on the idea that the Church-Turing-Deutsch (CTD) principle can play a very fundamental role in Physics similar to those of conservation laws in the constructio...
P. Prashant
ECCC
2002
86views more  ECCC 2002»
14 years 10 months ago
Classical Physics and the Church-Turing Thesis
Would physical laws permit the construction of computing machines that are capable of solving some problems much faster than the standard computational model? Recent evidence sugge...
Andrew Chi-Chih Yao
CIE
2010
Springer
15 years 3 months ago
On the Completeness of Quantum Computation Models
The notion of computability is stable (i.e. independent of the choice of an indexing) over infinite-dimensional vector spaces provided they have a finite “tensorial dimension...
Pablo Arrighi, Gilles Dowek