Greenberger-Horne-Zeilinger States in Quantum Dot Molecule

TL;DR

This paper develops a microscopic theory for a quantum dot molecule that can host a GHZ maximally entangled three-particle ground state, using a Hubbard model and configuration interaction methods.

Contribution

It introduces a model for realizing GHZ states in a quantum dot molecule with tunable spin interactions and magnetic field control.

Findings

Identifies parameter regimes for GHZ state ground states.

Demonstrates control of spin interactions via quantum dot configuration.

Provides a theoretical framework for entangled state engineering in quantum dots.

Abstract

We present a microscopic theory of a lateral quantum dot molecule in a radial magnetic field with a Greenberger- Horne- Zeilinger (GHZ) maximally entangled three particle groundstate. The quantum dot molecule consists of three quantum dots with one electron spin each forming a central equilateral triangle. The anti-ferromagnetic spin-spin interaction is changed to the ferromagnetic interaction by additional doubly occupied quantum dots, one dot near each side of a triangle. The magnetic field is provided by micro-magnets. The interaction among the electrons is described within an extended Hubbard Hamiltonian and electronic states are obtained using configuration interaction approach. The set of parameters is established for which the ground state of the molecule in a radial magnetic field is well approximated by a GHZ state.