Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi/2$-pulse

TL;DR

This paper proposes a practical protocol for generating GHZ states in a system of coupled qubits using a single $b1/2$-pulse, leveraging symmetries for exact solutions and applicable under various dynamical conditions.

Contribution

It introduces a novel, experimentally feasible method for GHZ state generation in multi-qubit systems with a single pulse and exact dynamical solutions.

Findings

GHZ states can be generated under adiabatic and non-adiabatic conditions.

The protocol is based on $N$-wise interactions and a controllable local field.

Exact solutions are obtained due to Hamiltonian symmetries.

Abstract

A protocol for generating Greenberger-Horne-Zeilinger states in a system of $N$ coupled qubits is proposed. The Hamiltonian model assumes $N$-wise interactions between the $N$ qubits and the presence of a controllable time-dependent field acting upon one spin only. Implementing such a scenario is in the experimental reach. The dynamical problem is exactly solved thanks to the symmetries of the Hamiltonian model. The possibility of generating GHZ states under both adiabatic and non-adiabatic conditions is shown and discussed in detail.