Entanglement and Quantum Phase Transitions via Adiabatic Quantum Computation

摘要

For a finite XY chain and a finite two-dimensional Ising lattice, it is shownthat the paramagnetic ground state is adiabatically transformed to the GHZstate in the ferromagnetic phase by slowly turning on the magnetic field. Thefidelity between the GHZ state and an adiabatically evolved state shows afeature of the quantum phase transition.