For questions about anyons as relevant to quantum computing. An anyon is a type of quasiparticle that occurs only in two-dimensional systems, with properties much less restricted than fermions and bosons. In general, the operation of exchanging two identical particles may cause a global phase shift but cannot affect observables. Anyons are generally classified as abelian or non-abelian (Wikipedia). They are necessary for topological quantum computing.
Questions tagged [anyons]
18 questions
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What exactly are anyons and how are they relevant to topological quantum computing?
I have been trying to get a basic idea of what anyons are for the past couple of days. However, the online articles (including Wikipedia) seem unusually vague and impenetrable as far as explaining topological quantum computing and anyons goes.
The…
Sanchayan Dutta
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What is the status of confirming the existence of anyons?
In a comment on my answer to the question: What exactly are anyons and how are they relevant to topological quantum computing? I was asked to give specific examples of occurrence of anyons in nature. I've spent 3 days searching, but every article…
user1271772 No more free time
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Why is it helpful to use Majorana particle in topological quantum computing (they are just Fermions?!)
My basic understanding of topological quantum computing is that it makes use of anyons which are particles satisfying the following rule under wave-function swap:
$$ |\psi_1 \psi_2\rangle = e^{i \theta} |\psi_2 \psi_1\rangle$$
We recognize the…
Marco Fellous-Asiani
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Breakthroughs in quantum computing using non-standard quanta
It seems that quantum computers can be classified by the type of quantum they operate on. Not entirely sure what category most common current systems fall into (eg. D-Wave, Google, IBM, Microsoft). Photonic computing seems to be one of the more…
user820789
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Does this experimental discovery of anyons enables the topological quantum computer (e.g. Microsoft) to become a reality?
Microsoft has its own agenda regarding quantum computer - it is topological quantum computer being invented by the team lead by Michael Freedman https://www.microsoft.com/en-us/research/project/topological-quantum-computing/
While this idea is very…
TomR
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Anyon alternatives in topological quantum computing
A topological quantum computer is a theoretical quantum computer that employs two-dimensional quasiparticles called anyons. -Wikipedia
Are there other instances of topological quantum computing models that do not use anyons?
Are there alternative…
user820789
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Can you make anyons in 3 dimensions using rings?
I heard that anyons can only be made in 2 dimensions because when you visualize the spacetime diagram of a 2-dimensional system with point particles, you can get braids, but if you do the same with a 3-dimensional system, you get only the un-braid…
MaudPieTheRocktorate
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History of anyon theory, braidings and tensor categories
What was the first paper/who was the first person to phrase anyon theory in terms of tensor categories?
Going through Wilczek's book on fractional statistics, some of the reprinted papers anticipate such a formulation, but I am looking for the…
Oliver
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Simulating quantum computers using anyon braiding
I am new to the concept of topological quantum computation (TQC).
Recently I have been thinking about simulating a quantum computer on a classical computer. I know that if I use merely the unitary matrices, the process will be very slow due to the…
wooohooo
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Measuring Ising anyons: What is a fusion measurement?
I have several doubts about measuring Ising anyons. Measurement is crucial for quantum computation and even more so for magic state distillation which is necessary to make Ising anyons universal.
Several sources, e.g.…
Marsl
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Is there a simple way to understand why topological quantum computing with anyons is expected to be more noise resilient?
I understand the basic quantum mechanics definition of anyons through the very nice answer of "user1271772 No more free time" here. I guess (?!) it requires to use non-trivial anyons (i.e. that are neither Fermions or Boson), but I'm not sure. See…
Marco Fellous-Asiani
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Prospects of topological/anyon approach to QC
Given the recent articles/preprints by Google and Quantinuum claiming implementation of braiding of non-Abelian anyons on a quantum processor, what is the likely impact of these findings, and specifically on the feasibility of topological quantum…
user4824
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What is a diference between solitons and anyons?
In the article Creation and annihilation of mobile fractional solitons in atomic chains the authors claim that they prepared 1D solitons which can be used in topological quantum computing. Based on the abstract and introduction, it seems to me that…
Martin Vesely
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What is the most economical and preferred basis for the qudit?
In Classical Simulation of Quantum Error Correction in a Fibonacci Anyon Code, the authors state on page 2 in section I. Background, A. Topological model:
We consider a system supporting nonabelian Fibonacci anyon excitations, denoted by $\tau$.…
Rob
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Topological anyonic molecule statistics
In the last chapter of John Preskill's Lecture Notes for Physics 219:
Quantum Computation (PDF), he mentions the following on pg.12.
This behavior is compatible with the spin-statistics connection: the
angular momentum $J$ of the $n$-anyon…
Siddhant Singh
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