An interesting idea!Twodogs said:A mathematician friend told me that the major tenets of information theory can be established through knot theory. Is that the case?
Thanks.
https://arxiv.org/pdf/2307.14882This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting codes starting from the colorings of a knot, describing through a series of results how the properties of the knot translate into code parameters. We show that knots can be used to obtain error-correcting codes with prescribed parameters and an efficient decoding algorithm.
https://arxiv.org/pdf/1901.03186This paper explores the interactions between knot theory and quantum computing. On oneside, knot theory has been used to create models of quantum computing, and on the other, it is a source of computational problems. Knot theory is often used to introduce topological idea to people without a formal mathematical background, and we are building on this tradition to discuss some of the deeper ideas of quantum computing.
Why don't you ask him?Twodogs said:A mathematician friend told me that the major tenets of information theory can be established through knot theory. Is that the case?
Thanks.
That would be helpful, thanks.martinbn said:Why don't you ask him?
Appreciate your for checking it out. I will look at these.fresh_42 said:An interesting idea!
Here is what I found searching for it.
Knot Theory and Error-Correcting Codes (Eindhoven, May 2024)
https://arxiv.org/pdf/2307.14882
Knot theory and quantum computing (Toronto, Jan. 2019)
https://arxiv.org/pdf/1901.03186