2023/06/19 by Haoran Wang, Wang, Haoran, Alessandro Principi +1
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2306.11092
openalex publication_date 2023/06/19 · openalex created_date 2023/06/22 · openalex updated_date 2026/07/30
Non-abelian anyonic excitations of quantum spin liquids have potential for application to topological quantum computation, but designing logical operations requires developing protocols to faithfully create, move, and read-out such quasiparticles. In this paper, we present a protocol that manipulates the Z2 fluxes (``visons''), and their bound Majorana zero mode, of the Kitaev model. This is achieved by adiabatically switching-off and -on interaction terms in the Hamiltonian, and applying a local magnetic field. We test our protocol by exchanging two Majorana zero modes, analysing the errors it produces. We find that the error rate of our protocol can be suppressed exponentially by increasing the adiabatic turn-on time and the size of the system. However, realistic implementations must consider the trade off between different error sources.