I am a Physics undergraduate at Nankai University. I built this website (source code here) to share my understanding of things (mostly interesting theories) I have learned. The most recent notes are often in progress, for I like to keep a few projects running at the same time. You are always welcomed to comment on my posts for suggestions or discussions. Some of the old notes were written in Chinese. You can learn more at the about page.

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`06 Aug 2019`

This Summer and the Site**Completed**After a long absence I decided to recap what happened during the last few months and start updating this blog again.

`23 May 2019`

Introduction to Topological Quantum Computation: Crash Course on Knots Theory**Completed**This is a series of posts on topological quantum computations. To address the reason why we introduce such “strange-looking” equations to calculate Jones polynomials, we have to know the history of knot theory, and understand how the pioneers came up with their ideas. This post provide a somewhat natural way to define Alexander Polynomials and skein relations from the coloring of knots, and ended on the note that the author is currently incapable of giving an equivalently convincing reason behind the definition of the Jones or the Kauffman polynomial.

`14 May 2019`

Introduction to Topological Quantum Computation: Ising Anyons Case Study**Completed**This is a series of posts on topological quantum computations. In this post, the most promising candidate for TQC, Ising anyons, are discussed. A theoretical topological quantum computer is realized via Ising anyons’ initialization, braiding, and fusion. F and R matrices are calculated from the consistency requirement,

*i.e.*Hexagon and Pentagon equations. Braiding matrices are introduced heuristically. A set of Clifford gates is implemented as the result of braiding. This post features lots of diagrams.

... Full Posts List

- Braiding Group
- Berry phase case study
- Connections on Fiber Bundles