anyons

Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons.

While Ising anyons are insufficient for universal quantum computations, Fibonacci anyons present in ν=12/5 quantum Hall states can be used for universal quantum computations.

Yang-Lee anyons are non-unitary counterparts of Fibonacci anyons.

And also TIL about anyons in neutron stars, which are typically or always the impetus for black holes.

For 2D, you also get anyons; this is all about the topology of the natural configuration space.

[!] So far, only Abelian anyons have been detected in fractional quantum Hall systems, but studies suggest that non-Abelian anyons might also be realized.

The simplest non-Abelian anyons are Ising anyons which can be realized by Majorana fermions hosted by vortices or edges of topological superconductors, ν=5/2 quantum Hall states, spin liquids, and dense quark matter.

When cooled to temperatures near absolute zero and exposed to strong magnetic fields, excitations form in the 2-D electron gas and give rise to anyons.

Has anyons (except 37sign) used Basecamp in a small/medium/large corp?

It’s a special kind of qubit built using nonabelian anyons, which are excitations that can exist in a two-dimensional medium, behaving neither as fermions nor as bosons.

Braiding of non-Abelian anyons corresponds to quantum computations.

Topological anyons are the real deal, someday.

Yeah, I hit this right away: > have theoretically shown that anyons tunneling in a double-layer system can transition to an exotic non-Abelian state that contains "Fibonacci" anyons that are powerful enough for universal TQC.

> "We've shown that bilayer graphene almost certainly hosts particles that are non-Abelian anyons," concludes Ronen.

(3, 26) Now Ising anyons are something I actually studied in the context of topological error-correction, and my fuzzy memory says that some of these anyons can perform computations on qubits but are limited to Clifford statistics and so do not provide a useful quantum speedup vs classical computers (in particular, this includes the synthetic anyons on the "Kitaev code" and the "color code" synthetic anyon models).

Anyons are quasiparticles, they are not actual particles, buy some arrangement of the electrons and atoms.

Anyons are particles that acquire an arbitrary phase shift under exchange.

I'm fascinated by Fibonacci #s and phi *, aka the Golden Ratio, but Anyons, Abelian-ness and braids are entirely foreign to me.