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"Topological Quantum Computation", Zhenghan Wang, 2010

Reviewed March 23, 2024

Citation: Wang, Zhenghan. Topological quantum computation. No. 112. American Mathematical Soc., 2010.

Web: https://web.math.ucsb.edu/~zhenghwa/data/course/cbms.pdf

Tags: Expository, TQFT, Modular-tensor-categories


This is Zhenghan's monograph, where he details his vision of the field (circa 2010). This marked a time where the basic theory and general structure of topological quantum computing by braiding anyons in bosonic pure topological order had been mostly understood. This is a good place to look for people who want to see an overview of topics in TQC to make sure that they haven't missed anything. The existence of more modern reviews makes this one a bit obsolete, but it is still good to have. I own a physical copy.

In the introduction to this paper, Zhenghan thanks Matthew Fisher for letting him sit-in on a condensed matter physics class. Zhenghan describes himself as grateful, and says of Fisher than he "He richly deserves of my apple". I'm not quite sure what that means, but I do know that Zhenghan richly deserves of my apple too.