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I'm studying topological quantum computation, and in this field one considers particles confined to 2 dimensions called anyons. As a collection of anyons move a
by vortico 11y ago
I'm studying topological quantum computation, and in this field one considers particles confined to 2 dimensions called anyons. As a collection of anyons move around, the paths they take in spacetime "tangle together" and have the structure of an element of the braid group (https://en.wikipedia.org/wiki/Braid_group https://en.wikipedia.org/wiki/Braid_group). Two anyons cannot exist at the same place and time, and thus their world lines cannot pass through each other. This is useful, since any sort of physical error in the system will preserve its braid structure, saving the need for quantum error correction.
This article is mostly fluff (except for the two diagrams, whose captions contain more content than the article), but I'm sure it makes an interesting read for those wishing for light philosophical thought rather than deep and novel technical concepts.
- musicaldope 11y agoAny in-depth and technical sources you'd recommend?
- vortico 11y agoAlexei Kitaev's original paper in 1997 which started the field, and the overview by Freedman, Kitaev, et at. 2008 are a good start.