2014/12/31 by Torsten Karzig, Armin Rahmani, Felix von Oppen +1 · 2 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.supr-con #quant-ph
paper · pdf · doi:10.1103/physrevb.91.201404
published as Phys. Rev. B 91, 201404 (2015) · 5 pages, 4 figures, 4 pages of supplemental material
arxiv created 2015/05/15 · arxiv updated 2015/05/18
Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the adiabatic limit. Here we show how to minimize nonadiabatic errors for finite braiding times by finding an optimal protocol for the Majorana movement. Interestingly, these protocols are characterized by sharp transitions between Majorana motion at maximal and minimal velocities. We find that these so-called bang-bang protocols can minimize the nonadiabatic transitions of the system by orders of magnitude in comparison with naive protocols.