I will first review the measurement-based quantum computation with a two-dimensional cluster model and demonstrate its ability to do universal quantum computation. Then I will review the ground state of the AKLT model as a resource of computation. Finally, I will show that for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase, affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.
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 Measurement-Based Quantum Computation. (arXiv:2109.10111)