Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving

TL;DR

This paper introduces two fast, robust methods for generating tree-type three-dimensional entanglement among atoms using shortcuts to adiabatic passage, enhancing quantum communication capabilities.

Contribution

It proposes two novel schemes based on Lewis-Riesenfeld invariants and transitionless quantum driving for rapid entanglement generation, improving speed and robustness.

Findings

High fidelity entanglement can be achieved quickly.

Both methods are robust against parameter variations.

Numerical simulations confirm effectiveness and robustness.

Abstract

Recently, a novel three-dimensional entangled state called tree-type entanglement, which is likely to have applications for improving quantum communication security, was prepared via adiabatic passage by Song et al. [Phys. Rev. A 93, 062321 (2016)]. Here we propose two schemes for fast generations of tree-type three-dimensional entanglement among three spatially separated atoms via shortcuts to adiabatic passage. With the help of quantum Zeno dynamics, two kinds of different but equivalent methods, Lewis-Riesenfeld invariants and transitionless quantum driving, are applied to construct shortcuts to adiabatic passage. The comparisons between the two methods are discussed. The strict numerical simulations show that the tree-type three-dimensional entangled states can be fast prepared with quite high fidelities and the two schemes are both robust against the variations in the parameters, atomic spontaneous emissions and the cavity-fiber photon leakages.