12 search results - page 1 / 3 » The physical Church-Turing thesis and the principles of quan... |
CORR
2011
Springer
12 years 11 months ago
2011
Springer
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...
CIE
2007
Springer
13 years 10 months ago
2007
Springer
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...
FCS
2006
13 years 5 months ago
2006
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...
ECCC
2002
13 years 4 months ago
2002
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...
CIE
2010
Springer
13 years 9 months ago
2010
Springer
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...