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Chinese Journal of Physics

Fast preparation of three-dimensional entangled states by designing the evolution operators

C.Q. Wang, S. He, Jian Wang, Zhaotan Zhang, L. Dong, Xiao‐Ming Xiu, Yan‐Qiang Ji

Published Jun 18, 2025• 1 citation
Publisher
DOI
10.1016/j.cjph.2025.06.005

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A scheme for preparing a three-dimensional entangled state of two atoms is proposed. In the present scheme, two atoms are placed in two cavities that are spatially separated and connected by a fiber. With the help of quantum Zeno dynamics, the shortcuts to adiabaticity can be constructed through transitionless quantum driving to fast achieve the preparation of a three-dimensional entangled state. During this process, we consider the influence of fluctuations about system parameters and various decoherence factors on the fidelity. Numerical simulation results demonstrate that this scheme can not only realize the preparation of a three-dimensional entangled state with a high fidelity, but is also insensitive to parameter fluctuations. Moreover, our scheme can be extended to realize the N-dimensional entanglement of two atoms.
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. Here we propose two schemes for fast generating 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.