Computational Literature suggestions please (Topological Quantum Computers)

AI Thread Summary
Starting research in topological quantum computation (QC) based on non-abelian anyons requires a solid understanding of several key areas, including the braiding group that describes anyons, fault tolerance in quantum computing, and condensed matter physics, particularly the fractional quantum Hall effect. While foundational knowledge in high-energy physics, quantum information, and group theory is beneficial, a specific focus on topology is essential for this research area. Resources for learning include notable texts such as Z. Wang's "Topological Quantum Computation" and A. Khare's "Fractional Statistics and Quantum Theory." As this field is relatively new, finding comprehensive materials can be challenging, highlighting the need for guidance in navigating these complex topics.
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Hi, I will be starting my research in topological QC (based on non abelian anyons following the work of A. Yu. Kitaev). To begin understanding this theory, I need to develop a background in the braiding group used to describe anyons, fault tolerance in quantum computers and probably condensed matter as well (to review fractional quantum hall effect in detail).

I have taken courses in HEP, Quantum information and Group theory but not explicitly in topology.
I have tried finding resources but this is a relatively new research so getting in on this research is a bit tedious specially when I don't have a proper background, I hope someone can guide me through it.
Thank you for your time.
 
Physics news on Phys.org
Some standard books in the field:
Z. Wang, Topological Quantum Computation (2010)
A. Khare, Fractional Statistics and Quantum Theory (2005)
 

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