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    Measurement-only topological quantum computation without forced measurements (2017)
    Institute of Physics (IOP)
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    Publication Date: 2017-08-01
    Description: We investigate the measurement-only topological quantum computation (MOTQC) approach proposed by Bonderson et al (2008 Phys. Rev. Lett. 101 [http://dx.doi.org/10.1103/PhysRevLett.101.010501] 010501 ) where the braiding operation is shown to be equivalent to a series of topological charge ‘forced measurements’ of anyons. In a forced measurement, the charge measurement is forced to yield the desired outcome (e.g. charge 0) via repeatedly measuring charges in different bases. This is a probabilistic process with a certain success probability for each trial. In practice, the number of measurements needed will vary from run to run. We show that such an uncertainty associated with forced measurements can be removed by simulating the braiding operation using a fixed number of three measurements supplemented by a correction operator. Furthermore, we demonstrate that in practice we can avoid applying the correction operator in hardware by implementing it ...
    Electronic ISSN: 1367-2630
    Topics: Physics
    Published by Institute of Physics (IOP)
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    Demonstrating non-Abelian statistics of Majorana fermions using twist defects (2016)
    American Physical Society (APS)
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    Publication Date: 2016-01-01
    Description: Author(s): Huaixiu Zheng, Arpit Dua, and Liang Jiang We study the twist defects in the toric code model introduced by Bombin [ Phys. Rev. Lett. 105 , 030403 (2010) ]. Using a generalized two-dimensional Jordan-Wigner transformation and a projective construction, we show explicitly that twist defects carry unpaired Majorana zero modes. In addition, we pro… [Phys. Rev. B 92, 245139] Published Thu Dec 31, 2015
    Keywords: Electronic structure and strongly correlated systems
    Print ISSN: 1098-0121
    Electronic ISSN: 1095-3795
    Topics: Physics
    Published by American Physical Society (APS)
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