This title appears in the Scientific Report :
2017
Topological Trouble: The Problem with Braiding Majoranas
Topological Trouble: The Problem with Braiding Majoranas
I will begin with a general discussion of anyons, of which Majoranas are an example. I continue with a discussion of why particle statistics in 2D can be neither bosonic nor fermionic, nor even abelian, and what it means for the charge to be fractional. A simple model of Kitaev, of electrons hoppi...
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Personal Name(s): | DiVincenzo, David (Corresponding author) |
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Contributing Institute: |
Theoretische Nanoelektronik; PGI-2 Theoretische Nanoelektronik; IAS-3 |
Imprint: |
2017
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Conference: | Kolloquium, Goetheburg (Schweden), 2017-12-07 - 2017-12-08 |
Document Type: |
Talk (non-conference) |
Research Program: |
Controlling Collective States |
Publikationsportal JuSER |
I will begin with a general discussion of anyons, of which Majoranas are an example. I continue with a discussion of why particle statistics in 2D can be neither bosonic nor fermionic, nor even abelian, and what it means for the charge to be fractional. A simple model of Kitaev, of electrons hopping on a branched 1D lattice with strong spin-orbit coupling and superconducting pairing, is sufficient to describe Majoranas and the gates that can be done by moving them around each other (braiding). I discuss a model calculation of the decohence of these Majorana qubits during braiding in a trijunction, due to thermally generated quasiparticles (bosonic environment). The limitations to coherence are significant; topological protection doesn't really work in this scenario. (work with Dr. Fabio Pedrocchi) |