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It was recently shown that a hidden variable model can be constructed foruniversal quantum computation with magic states on qubits. Here we show thatthis result can be extended, and a hidden variable model can be defined forquantum computation with magic states on qudits with any Hilbert spacedimension. This model leads to a classical simulation algorithm for universalquantum computation.

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