Hidden variable model for quantum computation with magic states on qudits of any dimension

Author:

Zurel Michael12ORCID,Okay Cihan3ORCID,Raussendorf Robert24ORCID,Heimendahl Arne5ORCID

Affiliation:

1. Department of Physics and Astronomy, University of British Columbia, Vancouver, Canada

2. Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, Canada

3. Department of Mathematics, Bilkent University, Ankara, Turkey

4. Institute of Theoretical Physics, Leibniz University Hannover, Hannover, Germany

5. Department of Mathematics and Computer Science, University of Cologne, Cologne, Germany

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.

Funder

Horizon Europe

Air Force Office of Scientific Research

Deutsche Forschungsgemeinschaft

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

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