# Tag Info

Accepted

### What exactly are anyons and how are they relevant to topological quantum computing?

The first thing to do is to think topologically: make sure you understand why a coffee cup is the same thing topologically as a donut. Now, imagine we swap two identical particles, and do it again, ...
• 568
Accepted

### How does topological quantum computing differ from other models of quantum computing?

The idea of topological quantum computing was introduced by Kitaev in this paper. The basic idea is to build a quantum computer using the properties of exotic types of particles, known as anyons. ...
• 10.7k

### What exactly are anyons and how are they relevant to topological quantum computing?

You are right, it does look like the Wikipedia page needs work, so I will have to update it. But for now I will answer all five questions: 1) What do they mean by "much less restricted than ...
• 12.1k
Accepted

### Is Gil Kalai's argument against topological quantum computers sound?

A topological quantum computer could be made by using an exotic phase of matter in which anyons arise as localized effects (such as quasiparticles or defects). In this case, errors typically cost ...
• 10.7k

### What is the status of confirming the existence of anyons?

It depends what you mean by the 'existence' of anyons. One way is to engineer a Hamiltonian which leads to quasiparticles (or other defects) that have anyonic statistics. This will require the ...
• 10.7k
Accepted

### Anyon alternatives in topological quantum computing

Are there other instances of topological QC that do not use anyons? No, that's basically by definition. That said, there are different ways that one could use topological systems in order to achieve ...
• 47.5k

### Are there connections between long-range entanglement and topological quantum computation?

There were two simultaneous PRLs published by Kitaev & Preskill and Levin & Wen that I think answer your question. These use the area law of entanglement seen by states that can be expressed ...
• 10.7k

### How does the size of a toric code torus affect its ability to protect qubits?

The Toric code is an error correcting code. The distance of the code (I.e. the number of local operations required to convert one logical state into an orthogonal one) is equal to $N$, where the Toric ...
• 47.5k
Accepted

### Why is this topological gate mentioned in Raussendorf et al. 2007 a CNOT?

There are a variety ways of showing this, depending on your prior knowledge. The simplest is to know that you can convert a braiding diagram into a ZX calculus graph by changing each ring into a ...
• 23.3k
Accepted

• 502
1 vote

### Simulate Surface /Topological Code with Majorana - Huge Complexity Saving

One of the conclusions of the paper is that probabilistic Pauli error models are a good approximation. They show that the cheaper simpler thing works fine. The actual reason you wouldn't use this ...
• 23.3k
1 vote
Accepted

### Topological quantum computer and two dimensional materials

Microsoft has invested huge resources into engineering topological qubits. Their approach is based on topological Majorana states, which occur at the edges of a topological superconducting chain or at ...
1 vote

### Simulating quantum computers using anyon braiding

In the paper Simulation of topological field theories by quantum computers by Freedman, Larsen, and Wang they prove that "TQFTs cannot be used to define a model of computation stronger than the ...

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