With a time-tuned correction coupling, braiding of imperfect (overlapping) Majoranas yields a nonabelian operation whose deviation from perfect Majorana braiding is given by an analytic formula, vanishing only in the fully fermionic limit.
Topological quantum computing
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abstract
These lecture notes offer a pedagogical yet concise introduction to topological quantum computing. The material focuses on topological superconductors and Majorana qubits. It concludes with a discussion of more general braiding phenomena. In particular, the notes delve into the non-Abelian braiding statistics of Ising and Fibonacci anyons. Although not comprehensive, this set provides a solid entry point for students and researchers interested in the field.
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Adiabatic nonabelian braiding of imperfect Majoranas
With a time-tuned correction coupling, braiding of imperfect (overlapping) Majoranas yields a nonabelian operation whose deviation from perfect Majorana braiding is given by an analytic formula, vanishing only in the fully fermionic limit.