1Department of Physics and Astronomy, University of British Columbia, Vancouver, Canada
2Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, Canada
3Department of Mathematics, Bilkent University, Ankara, Turkey
4Institute of Theoretical Physics, Leibniz University Hannover, Hannover, Germany
5Department of Mathematics and Computer Science, University of Cologne, Cologne, Germany
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Abstract
It was recently shown that a hidden variable model can be constructed for universal quantum computation with magic states on qubits. Here we show that this result can be extended, and a hidden variable model can be defined for quantum computation with magic states on qudits with any Hilbert space dimension. This model leads to a classical simulation algorithm for universal quantum computation.
Featured image: Projection of the 1-qutrit Lambda polytope model. The red points are vertices of the Lambda polytopes, the blue points are phase space points of the Wigner function, the set of physical quantum states are highlighted in green, and the magenta point shows an example of a magic state.
Multimedia: Michael Zurel, University of British Columbia | “Hidden Variable Model for Quantum Computation with Magic States on Any Number of Qudits of Any Dimension”
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Cited by
[1] Michael Zurel, Lawrence Z. Cohen, and Robert Raussendorf, “Simulation of quantum computation with magic states via Jordan-Wigner transformations”, arXiv:2307.16034, (2023).
[2] Robert Raussendorf, Cihan Okay, Michael Zurel, and Polina Feldmann, “The role of cohomology in quantum computation with magic states”, arXiv:2110.11631, (2021).
[3] Michael Zurel, Cihan Okay, and Robert Raussendorf, “Simulating quantum computation: how many “bits” for “it”?”, arXiv:2305.17287, (2023).
[4] William F. Braasch and William K. Wootters, “A quantum prediction as a collection of epistemically restricted classical predictions”, Quantum 6, 659 (2022).
[5] Denis A. Kulikov, Vsevolod I. Yashin, Aleksey K. Fedorov, and Evgeniy O. Kiktenko, “Minimizing the negativity of quantum circuits in overcomplete quasiprobability representations”, Physical Review A 109 1, 012219 (2024).
The above citations are from SAO/NASA ADS (last updated successfully 2024-05-01 02:56:44). The list may be incomplete as not all publishers provide suitable and complete citation data.
On Crossref’s cited-by service no data on citing works was found (last attempt 2024-05-01 02:56:43).
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
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