Computable analysis: an introduction
Computable analysis: an introduction
A new kind of science
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Locality and Information Transfer in Quantum Operations
Quantum Information Processing
Physical Computation: How General are Gandy's Principles for Mechanisms?
Minds and Machines
One-Dimensional Quantum Cellular Automata over Finite, Unbounded Configurations
Language and Automata Theory and Applications
Electronic Notes in Theoretical Computer Science (ENTCS)
The church-turing thesis over arbitrary domains
Pillars of computer science
On the completeness of quantum computation models
CiE'10 Proceedings of the Programs, proofs, process and 6th international conference on Computability in Europe
Unitarity plus causality implies localizability
Journal of Computer and System Sciences
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The physical Church-Turing thesis explains the Galileo thesis, but also suggests an evolution of the language used to describe nature. It can be proved from more basic principle of physics, but it also questions these principles, putting the emphasis on the principle of a bounded density of information. This principle itself questions our formulation of quantum theory, in particular the choice of a field for the scalars and the origin of the infinite dimension of the vector spaces used as state spaces.