Re: [HoTT] Quantum Computations and HoTT

["José Manuel Rodriguez Caballero" <josephcmac@gmail.com>]

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Thank you ppk for the reference. My main suspicion that HoTT may be useful
in Quantum Computing is the idea of the topological quantum computer,
although, it is just a suspicion, not a claim:
 https://en.wikipedia.org/wiki/Topological_quantum_computer

Kind Regards,
José M.


El vie., 14 dic. 2018 a las 2:11, Piyush P Kurur (<ppk@iitpkd.ac.in>)
escribió:

> On Thu, Dec 13, 2018 at 11:06:37PM -0500, José Manuel Rodriguez Caballero
> wrote:
> > Hello,
> >   I am interested in the formal verification of theorems related to
> Quantum
> > Computations. I have two possibilities in order to do my formalizations:
> > either I can use simple type theory (Isabelle/HOL) or I can use UniMath
> > (Coq). Does the homotopy type theory has some advantage over the simple
> > type theory in this field?
>
>
> What probably would be interesting is the linear variant of the type
> theory (whether it is Hott or the standard type theory a la Coq).
>
> https://arxiv.org/pdf/1210.0613.pdf
>
> I have not really followed this line of research and hence have
> nothing intelligent to contribute but if you find something
> interesting or you already have some project going on, please do let
> me know.
>
> Regards,
>
> ppk
>
> >
> > Kind Regards,
> > José M.
> >
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