I am interesting in mathematical and theoretic approaches in quantum information theory. I have backgrounds with basic group representation theory(I study this for my master degree) and some fundamental analysis(such as measure theory, $L^{p}$ space), just something everyone will learn in real analysis course. But I have less knowledge with functional analysis and complex analysis(just in undergraduate level). I want to find some materials(with mathematical viewpoint and abstract structure might be better) to enter this field. Are there any advices?
2026-04-13 02:52:58.1776048778
Materials for a person with math background to enter quantum information theory
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I think your background should be absolutely sufficient to understand the basics of quantum information theory. Mostly, linear algebra is used.
The standard text book is Nielsen, Chuang: "Quantum Computation and Quantum Information". Another nice reference, a bit more mathematically rigourously, is by Kitaev et al: "Classical and Quantum Computation".