A survey on analog models of computation
A Survey on Analog Models of Computation Page 1 Chapter 6 A Survey on Analog Models of
Computation Olivier Bournez and Amaury Pouly Abstract We present a survey on analog …
Computation Olivier Bournez and Amaury Pouly Abstract We present a survey on analog …
The physical Church-Turing thesis and the principles of quantum theory
P Arrighi, G Dowek - … Journal of Foundations of Computer Science, 2012 - World Scientific
As was emphasized by Deutsch, quantum computation shatters complexity theory, but is
innocuous to computability theory. Yet Nielsen and others have shown how quantum theory …
innocuous to computability theory. Yet Nielsen and others have shown how quantum theory …
Computational complexity with experiments as oracles
We discuss combining physical experiments with machine computations and introduce a
form of analogue–digital (AD) Turing machine. We examine in detail a case study where an …
form of analogue–digital (AD) Turing machine. We examine in detail a case study where an …
Limits to measurement in experiments governed by algorithms
We pose the following question: If a physical experiment were to be completely controlled by
an algorithm, what effect would the algorithm have on the physical measurements made …
an algorithm, what effect would the algorithm have on the physical measurements made …
The impact of models of a physical oracle on computational power
Using physical experiments as oracles for algorithms, we can characterise the
computational power of classes of physical systems. Here we show that two different …
computational power of classes of physical systems. Here we show that two different …
Fundamental physics and computation: The computer-theoretic framework
The central goal of this manuscript is to survey the relationships between fundamental
physics and computer science. We begin by providing a short historical review of how …
physics and computer science. We begin by providing a short historical review of how …
Three forms of physical measurement and their computability
We have begun a theory of measurement in which an experimenter and his or her
experimental procedure are modeled by algorithms that interact with physical equipment …
experimental procedure are modeled by algorithms that interact with physical equipment …
Computational complexity with experiments as oracles. II. Upper bounds
Earlier, to explore the idea of combining physical experiments with algorithms, we
introduced a new form of analogue–digital (AD) Turing machine. We examined in detail a …
introduced a new form of analogue–digital (AD) Turing machine. We examined in detail a …
Axiomatizing physical experiments as oracles to algorithms
We developed earlier a theory of combining algorithms with physical systems, on the basis
of using physical experiments as oracles to algorithms. Although our concepts and methods …
of using physical experiments as oracles to algorithms. Although our concepts and methods …
Physical oracles: The Turing machine and the Wheatstone bridge
Earlier, we have studied computations possible by physical systems and by algorithms
combined with physical systems. In particular, we have analysed the idea of using an …
combined with physical systems. In particular, we have analysed the idea of using an …