9 votes
Accepted

How could Majorana particles be used to improve quantum computers?

Majoranas are anyons (a type of quasiparticles wich behave differently from fermions and bosons), and so are related to the idea of topological quantum computation. This means that a good ...
James Wootton's user avatar
6 votes

What are the pros/cons of Trapped Ion Qubits, Superconducting Qubits and Si Spin Qubits?

It think the (very) short answer is that there is not a preferred platform yet. This is why there are very active research communities around each of these technologies. Often if someone says ...
Dr. Sarah Kaiser's user avatar
6 votes

If Majorana qubits are analogous to surface codes, why do the diagrams use lines instead of squares?

The surface code has two types of boundary at which two different kinds of error string can terminate. I'll call these X and Z boundaries. The surface code also has two types of stabilizer generator. ...
James Wootton's user avatar
5 votes

What are the pros/cons of Trapped Ion Qubits, Superconducting Qubits and Si Spin Qubits?

Here's a paper comparing Trapped Ion and Superconducting (the main competitors right now) from the group at UMD which compares their trapped ion system with IBM's transmon (superconducting) system. If ...
Dripto Debroy's user avatar
5 votes

How could Majorana particles be used to improve quantum computers?

I heard an interesting analogy that shed some light on the situation for me, so I'll share it here. Majorana fermions are topologically based; let's look at what topology sort of "means". Topology ...
auden's user avatar
  • 3,429
3 votes
Accepted

If Majorana qubits are analogous to surface codes, why do the diagrams use lines instead of squares?

I had the chance to talk to Christina Knapp, who works on Majoranas, and she clarified all of this for me. The following is my understanding of it now. The lines in the majorana diagrams are not ...
Craig Gidney's user avatar
  • 37.1k
1 vote

Simulate Surface /Topological Code with Majorana - Huge Complexity Saving

In my understanding, the paper leverages the fact that Gaussian states can be represented with the $O(n^2)$ covariance matrix, and, for a limited set of Fermioninc Linear Optics operations (state prep,...
Balint Pato's user avatar
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 ...
Craig Gidney's user avatar
  • 37.1k

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