2015/01/12 by Torsten Karzig, Falko Pientka, Gil Refael +1 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.91.201102
published as Phys. Rev. B 91, 201102(R) (2015) · 5 pages, 3 figures plus supplementary material
arxiv created 2015/01/12 · arxiv updated 2015/05/29
Topological quantum information processing relies on adiabatic braiding of nonabelian quasiparticles. Performing the braiding operations in finite time introduces transitions out of the ground-state manifold and deviations from the nonabelian Berry phase. We show that these errors can be eliminated by suitably designed counterdiabatic correction terms in the Hamiltonian. We implement the resulting shortcuts to adiabaticity for simple protocols of nonabelian braiding and show that the error suppression can be substantial even for approximate realizations of the counterdiabatic terms.