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Introduction to Topological Quantum Computation

66 pointsby blopeurabout 8 years ago

4 comments

sir_kinabout 8 years ago
Any suggestions on how to get started on this topic, or anyons in general? I finished math &amp; phys undergrad, but not sure how to dive in.<p>I read the relevant chapter from Preskill&#x27;s Quantum Computation lecture notes (<a href="http:&#x2F;&#x2F;www.theory.caltech.edu&#x2F;~preskill&#x2F;ph219&#x2F;topological.pdf" rel="nofollow">http:&#x2F;&#x2F;www.theory.caltech.edu&#x2F;~preskill&#x2F;ph219&#x2F;topological.pd...</a>), and gave (80% of) the review article &quot;Non-Abelian Anyons and Topological Quantum Computation&quot; (<a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;0707.1889" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;0707.1889</a>) a read, along with some of the foundational papers (ex Moore &amp; Reed). Now that I&#x27;ll have some more time, I plan to pick up a copy of &quot;Quantum Groups&quot; (<a href="https:&#x2F;&#x2F;link.springer.com&#x2F;book&#x2F;10.1007%2F978-1-4612-0783-2" rel="nofollow">https:&#x2F;&#x2F;link.springer.com&#x2F;book&#x2F;10.1007%2F978-1-4612-0783-2</a>) and learn the topology prereqs over the summer.<p>My issue is that the field is so new that there isn&#x27;t an established body of Anyon Literature. Can anyone offer some guidance on how to gain proficiency?
mrcactu5about 8 years ago
Alternatively &quot;Mathematics of Topological Quantum Computing&quot; Eric C. Rowell, Zhenghan Wang <a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1705.06206" rel="nofollow">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;1705.06206</a>
godelmachineabout 8 years ago
I don&#x27;t know anything at all about this topic
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IIAOPSWabout 8 years ago
last time I tried to learn this I got stuck on the F matrices. Maybe I&#x27;ll try again.