It would be really helpful if someone could discuss on the feasibility of
such kind of an idea. Thanks.


On Mon, Feb 24, 2014 at 1:45 AM, Amit <[email protected]> wrote:

> Hello ,
>           I am Amit. I would like to discuss the implementation of modular
> tensor categories for realization of Topological Quantum Computation. In
> Topological Quantum Computation we use anyon braiding (which develops a
> phase) to construct quantum gates which are nothing but unitary transforms.
> The entire process of anyon braiding can be mathematically modeled by
> representation of modular tensor categories. I have attached the article
> through which I have gone through for understanding the implementation in
> CAS. In addition to what is already present, most of the work is on
> matrices. The 2 Vect spaces are isomorphic to whole numbers, 1 cells are
> represented by matrices and 2 cells are represented by inner matrices (or 2
> matrices) i.e., matrices inside matrices. Most of the implementation is by
> using the properties of matrices and extending the present implementation
> of matrices. The implementation then tested the Fibonacci model by
> mentioning the fusion rules. I would like add this functionality to Sympy
> and if possible carry it out as a part of GSoC 2014. According to my
> understanding the implementation is mostly mathematical but the physical
> extension is to TQC by testing the Fibonacci model. I request the community
> to comment on this. Thanks.
>
> File :
> http://ora.ox.ac.uk/objects/uuid%3Ac9b6eaf8-29d4-4637-a576-5a35d3c957bb/datastreams/THESIS01
>
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