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On measurement-based quantum computation with the toric code states

Sergey Bravyi·Robert Raussendorf
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Abstract

We study measurement-based quantum computation (MQC) using as quantum resource the planar code state on a two-dimensional square lattice (planar analogue of the toric code). It is shown that MQC with the planar code state can be efficiently simulated on a classical computer if at each step of MQC the sets of measured and unmeasured qubits correspond to connected subsets of the lattice.

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Sergey Bravyi, Robert Raussendorf. 2006-10-19. On measurement-based quantum computation with the toric code states. https://doi.org/10.1103/physreva.76.022304

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