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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 11th 2022

    starting something – my main motivation for the moment is to bring out references which admit that topological quantum computation by braiding of defect anyons is a form of adiabatic quantum computation

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2022

    added pointer to today’s

    • Atanu Rajak, Sei Suzuki, Amit Dutta, Bikas K. Chakrabarti, Quantum Annealing: An Overview [arXiv:2207.01827]

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2022

    added pointer to:

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 8th 2022

    added this pointer:

    diff, v7, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2022

    Added more references on using (nonabelian) geometric phases due to adiabatic parameter movement as quantum gates:

    diff, v8, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeNov 19th 2022

    added pointer to:

    diff, v9, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2022

    added another reference which makes the adiabatic nature of topological quantum computation nicely explicit:

    • Jiannis K. Pachos, Introduction to Topological Quantum Computation, Cambridge University Press (2012) [doi:10.1017/CBO9780511792908]

      [p. 50]: “topological quantum computation resembles an adiabatic quantum computation with constant energy gap, where the quasiparticle coordinates provide the control parameters of the Hamiltonian.”

      [p. 52]: “Holonomic quantum computation resembles the adiabatic scheme […] topological quantum computation can be considered as holonomic computation where the employed adiabatic evolutions have topological characteristics.”

    diff, v10, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 16th 2023

    added more and more original references, such as these:

    diff, v14, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 16th 2023
    • (edited Feb 16th 2023)

    and pointer to:

    • Andrew Childs, Overview of adiabatic quantum computation, talk at CIFAR Workshop on Quantum Information Processing (2013) [pdf]

    diff, v14, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 16th 2023

    and this one:

    diff, v15, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2023

    added pointer to today’s

    • Jiang Zhang, Thi Ha Kyaw, Stefan Filipp, Leong-Chuan Kwek, Erik Sjöqvist, Dianmin Tong, Geometric and holonomic quantum computation [arXiv:2110.03602]

    diff, v17, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeMar 27th 2023

    added pointer to today’s

    • Daniel Turyansky et al., Inertial geometric quantum logic gates [arXiv:2303.13674]

    diff, v18, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeApr 6th 2023

    added pointer to today’s:

    • Ioannis Kolotouros, Ioannis Petrongonas, Miloš Prokop, Petros Wallden, Adiabatic quantum computing with parameterized quantum circuits [arXiv:2206.04373]

    diff, v19, current

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeJul 25th 2023
    • (edited Jul 25th 2023)

    added more of the original references on holonomic quantum computation:

    as well as this recent preprint:

    • Logan W. Cooke et al., Demonstration of Floquet engineered non-Abelian geometric phase for holonomic quantum computing [arXiv:2307.12957]

    diff, v21, current