Topological quantum computing: Majorana fermions and where to find them
Welcome to the field of topological quantum computing! In this video, we pave the way towards topological qubits. However, to understand what topological quantum computing is, we first need to introduce you to their basic building blocks: the so-called Majorana fermions or Majorana bound states. In this video, we discuss what these fantastic ‘particles’ are and where to find them.
- Basic particle physics (e.g., what are anti-particles and fermions)
- Creation and annihilation operators
- Basic knowledge of superconductors (e.g., Cooper pairs)
If you were to use the topics in this video, what would you say is the main advantage of encoding quantum states in topological qubits from Majoranas over using regular fermions?
You can create the Majorana operators from a superposition of creation and annihilation operators. Do this for yourself and show yourself that indeed the corresponding operators are Majorana operators. Furthermore, show that the creation and annihilation operators for regular fermions are not Majorana operators.
The video on this page only covers the beginning of topological quantum computing. Make sure to check out other videos on the subject that we have on our platform!
If you are interested in an introduction that is a bit more mathematical than this video, make sure to check out these notes from Arnold Sommerfeld Center for theoretical physics (LMU Munich). These notes cover more content than is covered in the video above.
For an expert insight on topological superconductivity and Majorana fermions, take a look at this review paper. The paper is quite technical, but gives an excellent introduction to the subject: