On measurement-based quantum computation with the toric code states

Details On measurement-based quantum computation with the toric code states On measurement-based quantum computation with the toric code states

2006-10-19

arxiv.org/abs/quant-ph/0610162v1

Phys. Rev. A 76, 022304 (2007)

Physics

Quantum Physics

9 pages, 5 figures

Scientific paper

10.1103/PhysRevA.76.022304

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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