Questions tagged [topological-quantum-computing]
Topological quantum computing is a theoretical quantum computing model that employs two-dimensional quasiparticles called anyons, whose world lines pass around one another to form braids in a three-dimensional spacetime (i.e., one temporal plus two spatial dimensions).
9
questions
25
votes
3
answers
5k
views
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 ...
- 17.2k
25
votes
2
answers
666
views
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. ...
- 13.5k
15
votes
1
answer
2k
views
Is Gil Kalai's argument against topological quantum computers sound?
In a lecture, recorded on Youtube, Gil Kalai presents a 'deduction' for why topological quantum computers will not work. The interesting part is that he claims this is a stronger argument than the ...
- 3,124
19
votes
2
answers
2k
views
How does topological quantum computing differ from other models of quantum computing?
I've heard the term Topological Quantum Computer a few times now and know that it is equivalent to quantum computers using circuits with respect to some polynomial-time reduction.
However, it is ...
- 512
9
votes
2
answers
268
views
Topological Circuit Simulator
Does something like Quirk exist for topological (eg. braided) circuits?
Alternatively, any ideas on how @CraigGidney is getting these circuits (or something similar)?
- 3,302
9
votes
2
answers
530
views
How does the size of a toric code torus affect its ability to protect qubits?
The Toric code Hamiltonian is:
$\sum_{x,y}\left( \prod_{i\in p(x,y)} Z_{ixy} + \prod_{i\in v(x,y)} X_{ixy} \right),$
where the $v$ and $p$ are defined according to this picture (courtesy of James ...
- 13.5k
8
votes
1
answer
106
views
Correspondence between the Topological model and Quantum Circuit model
For example, given the $R$ & $F$ gates and Toric codes for a given problem, how to convert this code into the conventional circuit model and vice versa.
From the literature developed, it seems ...
user5438
6
votes
2
answers
275
views
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 ...
- 3,302
3
votes
2
answers
545
views
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 ...
- 2,287