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Error suppression in adiabatic quantum computing with qubit ensembles


Mohseni,  Naeimeh
State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences,East China Normal University;
Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society;
Department of Physics, Institute for Advanced Studies in Basic Sciences(IASBS);

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Mohseni, N., Narozniak, M., Pyrkov, A. N., Ivannikov, V., & Dowling, J. P. (submitted). Error suppression in adiabatic quantum computing with qubit ensembles.

Cite as: http://hdl.handle.net/21.11116/0000-0005-16BF-C
In the standard approach to adiabatic quantum computing (AQC), quantum information storedon qubits are adiabatically evolved to find the ground state of a problem Hamiltonian. Here weinvestigate a variation of AQC where qubit ensembles are used in place of qubits. We identify twodistinct regimes for a given problem Hamiltonian under thismapping as a function of the ensemblesizeN. At a critical ensemble sizeNc, the nature of the first excited state changes from beingmacroscopically distinct spin configuration to a single particle perturbation of the ground state.AboveNcthe minimum gap for large ensembles is well predicted by mean-field theory and theAQC performance improves withN, realizing error-suppression due to duplication of the quantuminformation. While belowNcthe performance is mixed, and can increase withN. For randomlychosen problem instances Nc tends to be smaller than realistic ensemble sizes, hence we expect theensemble version of AQC to work well in a great majority of cases. Our approach shows it is possibleto perform AQC without the necessity of controlling individual qubits, allowing an alternative routetowards implementing AQC.