Entanglement and Quantum Phase Transition via Adiabatic Quantum Computation
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| Entanglement and Quantum Phase Transition via Adiabatic Quantum Computation
Sangchul Oh and Jaewan Kim Korea Institute for Advanced Study We study the entanglment of one- and two-dimensional quantum spin lattice models which undergo quantum phase transition during the quantum adiabatic evolution. For the one- and two-dimensional Ising model, we demonstrate that the product state, the ground state in the paramagnetic phase, adiabatically evolves to the GHZ state, the ground state in the ferromagnetic phase without the spontaneous symmetry breaking. Especially a two-dimensional GHZ state is numerically generated. We discuss the generation of a W state, cluster states, and quantum dimer states via adiabatic quantum computation. Download 2.83 Kb. Share with your friends:
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