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

TL;DR

This paper proposes a method to generate multipartite GHZ entangled states among spin-1 particles using bifurcation-based quantum annealing, involving adiabatic evolution and dipole interactions, with potential implementation in nitrogen vacancy centers.

Contribution

It introduces a novel scheme for creating GHZ states via bifurcation-based quantum annealing with spin-1 particles, expanding quantum entanglement generation techniques.

Findings

Successful protocol for GHZ state generation demonstrated theoretically.

Potential implementation in nitrogen vacancy centers discussed.

Adiabatic evolution with dipole interactions enables multipartite entanglement.

Abstract

Quantum annealing is a way to solve a combinational optimization problem where quantum fluctuation is induced by transverse fields. Recently, a bifurcation-based quantum annealing with spin-1 particles was suggested as another mechanism to implement the quantum annealing. In the bifurcation-based quantum annealing, each spin is initially prepared in $|0\rangle$, let this state evolve by a time-dependent Hamiltonian in an adiabatic way, and we find a state spanned by $|\pm 1\rangle$ at the end of the evolution. Here, we propose a scheme to generate multipartite entanglement, namely GHZ states, between spin-1 particles by using the bifurcation-based quantum annealing. We gradually decrease the detuning of the spin-1 particles while we adiabatically change the amplitude of the external driving fields. Due to the dipole-dipole interactions between the spin-1 particles, we can prepare the GHZ state after performing this protocol. We discuss possible implementations of our scheme by using nitrogen vacancy centers in diamond.