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Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation

Xie Chen, Massachusetts Institute of Technology

(Session 9 : Saturday from 4:00-4:30)

Abstract. Many-body entanglement of quantum states is one of the essential resources which make quantum algorithmic speedup over classical computers possible for certain computational problems. However, generating and maintaining in a controlled way any known type of many-body entanglement that enables quantum computation is usually hard. Here we provide an alternative scheme for quantum computation which protects its entanglement resource in the gapped ground state of a naturally occurring Hamiltonian. We demonstrate how arbitrary quantum computation may be efficiently simulated by measuring each particle in the 'tri-Cluster state', a unique ground state of gapped local Hamiltonian that involves only nearest-neighbor interactions on two-dimensional Hexagonal lattice. In this way we have provided an experimentally more feasible approach for quantum computation.