@article{knapp2020number-conserving,
author = {Knapp, Christina and Vayrynen, Jukka and Lutchyn, Roman},
title = {Number-conserving analysis of measurement-based braiding with Majorana zero modes},
year = {2020},
month = {March},
abstract = {Majorana-based quantum computation seeks to encode information nonlocally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of Majorana-based quantum computing relies on achieving topologically protected Clifford gates from braiding operations. Recent works have conjectured that mean-field BCS calculations may fail to account for nonuniversal corrections to the Majorana braiding operations. Such errors would be detrimental to Majorana-based topological quantum computing schemes. In this work, we develop a particle-number-conserving approach for measurement-based topological quantum computing and investigate the effect of quantum phase fluctuations. We demonstrate that braiding transformations are indeed topologically protected in charge-protected Majorana-based quantum computing schemes.},
url = {http://approjects.co.za/?big=en-us/research/publication/number-conserving-analysis-of-measurement-based-braiding-with-majorana-zero-modes/},
pages = {125108},
journal = {2020 Physical Review B},
volume = {101},
number = {12},
}