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

View Article: PubMed Central - PubMed

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. 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.

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Time dependence on t/tf of Ω1(t) and Ω2(t) with the parameters τ = 0.14tf, T = 0.19tf.
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f3: Time dependence on t/tf of Ω1(t) and Ω2(t) with the parameters τ = 0.14tf, T = 0.19tf.

Mentions: where Ω0 is the pulses’ amplitude, tf is the operation time, and τ and T are related parameters. The time-dependent Ω1(t) and Ω2(t) are shown in Fig. 3.


Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving
Time dependence on t/tf of Ω1(t) and Ω2(t) with the parameters τ = 0.14tf, T = 0.19tf.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5036061&req=5

f3: Time dependence on t/tf of Ω1(t) and Ω2(t) with the parameters τ = 0.14tf, T = 0.19tf.
Mentions: where Ω0 is the pulses’ amplitude, tf is the operation time, and τ and T are related parameters. The time-dependent Ω1(t) and Ω2(t) are shown in Fig. 3.

View Article: PubMed Central - PubMed

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. 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.

No MeSH data available.


Related in: MedlinePlus