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Quantum annealing is a way to solve a combinational optimization problemwhere quantum fluctuation is induced by transverse fields. Recently, abifurcation-based quantum annealing with spin-1 particles was suggested asanother mechanism to implement the quantum annealing. In the bifurcation-basedquantum annealing, each spin is initially prepared in $|0\rangle$, let thisstate evolve by a time-dependent Hamiltonian in an adiabatic way, and we find astate spanned by $|\pm 1\rangle$ at the end of the evolution. Here, we proposea scheme to generate multipartite entanglement, namely GHZ states, betweenspin-1 particles by using the bifurcation-based quantum annealing. We graduallydecrease the detuning of the spin-1 particles while we adiabatically change theamplitude of the external driving fields. Due to the dipole-dipole interactionsbetween the spin-1 particles, we can prepare the GHZ state after performingthis protocol. We discuss possible implementations of our scheme by usingnitrogen vacancy centers in diamond.

Generation of multipartite entanglement between spin-1 particles with bifurcation-based quantum annealing