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I am looking for a nice lecture about group theory for quantum information. Ideally a video lecture.

I know some of the very basics as I am familiar with the stabilizer formalism but there are many "important" things, for instance, representation theory, which I am not familiar with.

If the lecture can be quantum information-oriented it would be a plus (in order to directly go to the things that are useful for quantum mechanics).

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  • $\begingroup$ Nice idea for a lecture course actually! $\endgroup$
    – Rammus
    Commented May 29, 2022 at 14:09
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    $\begingroup$ This video by Chris Moore might have some (not necessarily all) of your desirables, with a focus on the hidden subgroup problem especially for graph isomorphism. Nothing about the stabilizer formulation, but a small amount of representation theory. It's only one "lecture" (more of a presentation) though. $\endgroup$ Commented May 30, 2022 at 0:37
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    $\begingroup$ arxiv.org/abs/2307.08956 $\endgroup$ Commented May 7 at 23:38

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Two courses with notes available:

Michael Walter's course on Symmetry and Quantum Information: https://qi.rub.de/qit18/

Felix Leditzky's course on Representation-theoretic methods in quantum information theory: https://felixleditzky.info/teaching/FT22/math595_reptheory.html

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