# Knot theory and quantum computing

**Authors:** Robin Gaudreau, David Ledvinka

arXiv: 1901.03186 · 2019-01-11

## TL;DR

This paper investigates the relationship between knot theory and quantum computing, highlighting how knot theory models quantum processes and introduces topological concepts to explain quantum ideas.

## Contribution

It bridges knot theory and quantum computing, providing insights into their interaction and educational approaches to complex quantum concepts through topology.

## Key findings

- Knot theory models quantum computing processes.
- Knot theory introduces topological ideas to quantum computing.
- The paper discusses computational problems in knot theory related to quantum computing.

## Abstract

This paper explores the interactions between knot theory and quantum computing. On one side, 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.

## Full text

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## Figures

12 figures with captions in the complete paper: https://tomesphere.com/paper/1901.03186/full.md

## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1901.03186/full.md

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Source: https://tomesphere.com/paper/1901.03186