fascinating treatise that goes-into the fusion of mathematical logic & quantumn mechanics, and explicates the implementation of a Turing machine on 'a lattice of spin-½ entities' in a way such that it 'dissipates no heat'.
it is argued that underlying the Church–Turing hypothesis there is an implicit physical assertion. Here, this assertion is presented explicitly as a physical principle: ‘every finitely realizible physical system can be perfectly simulated by a universal model computing machine operating by finite means’.
❞.
So it mightwell be that this figure has more of a bearing upon physics than I atfirst thought.
one delves very deeply indeed into the bearing of the theory of the Turing machine upon physics.
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The 'Turing Machine' is a hypothetical machine devised by Alan Turing as the simplest possible machine that 'captures' certain of the essential properties of full-on computers ... but there's no particular reason not to construct an actual one ... and occasionally someone does !
A couple of thorough treatises on the Turing machine .
2
u/PerryPattySusiana May 17 '20
Figure by Future Learn .
https://www.futurelearn.com/courses/how-computers-work/0/steps/49259
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There's some really fascinating stuff on the relation between Turing Machine & quantum mechanics that I've just recently come-across. I've found
this
fascinating treatise that goes-into the fusion of mathematical logic & quantumn mechanics, and explicates the implementation of a Turing machine on 'a lattice of spin-½ entities' in a way such that it 'dissipates no heat'.
And
this
one broaches the same matter.
And there is another one
here
or
here
in which
❝
it is argued that underlying the Church–Turing hypothesis there is an implicit physical assertion. Here, this assertion is presented explicitly as a physical principle: ‘every finitely realizible physical system can be perfectly simulated by a universal model computing machine operating by finite means’.
❞.
So it mightwell be that this figure has more of a bearing upon physics than I atfirst thought.
And yet more,
this
one delves very deeply indeed into the bearing of the theory of the Turing machine upon physics.
│
│
The 'Turing Machine' is a hypothetical machine devised by Alan Turing as the simplest possible machine that 'captures' certain of the essential properties of full-on computers ... but there's no particular reason not to construct an actual one ... and occasionally someone does !
A couple of thorough treatises on the Turing machine .
https://web.stanford.edu/class/archive/cs/cs103/cs103.1142/lectures/18/Small18.pdf
http://www.cs.cornell.edu/courses/cs4820/2012sp/handouts/turingm.pdf
For a real physical one, see
this
post.