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arXiv:1701.00575 · Laser Physics Letters

Feasible superadiabatic-based shortcuts for the fast generation of 3D entanglement between two atoms

Xiao-Qin Yang, Dian-Yang Huang, Peng Xue, Yong-Yong Gong, Jin-Lei Wu, Xin Ji

Published Apr 12, 2017• 3 citations
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Abstract

Abstract We propose a scheme to realize the fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom–cavity–fiber system. The scheme is feasible because the counterdiabatic Hamiltonian has the same form as the effective Hamiltonian. Numerical simulations are provided to prove that the scheme is robust against variations in various parameters and against decoherence.

DOI
10.1088/1612-202x/aa6886

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Abstract We propose a scheme to realize the fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom–cavity–fiber system. The scheme is feasible because the counterdiabatic Hamiltonian has the same form as the effective Hamiltonian. Numerical simulations are provided to prove that the scheme is robust against variations in various parameters and against decoherence.
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An experimentally feasible scheme is proposed for rapidly generating two-atom three-dimensional (3D) entanglement with one step. As one technique of shortcuts to adiabaticity, transitionless quantum driving is applied to speed up the adiabatic generation of two-atom 3D entanglement. Apart from the rapid rate, the scheme has much higher experimental feasibility than the recent research (Quant. Inf. Process. DOI: 10.1007/s11128-016-1453-2, 2016). Besides, numerical simulations indicate the scheme has strong robustness against parameter deviations and decoherence.
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We propose a scheme to fast prepare the three-qubit W state via superadiabatic-based shortcuts in a circuit quantum electrodynamics (circuit QED) system. We derive the effective Hamiltonian to suppress the unwanted transitions between different eigenstates by counterdiabatic driving, and obtain the W state with high-fidelity based on the superadiabatic passage. The numerical simulation results demonstrate that the proposed scheme can accelerate the evolution, and is more efficient than that with the adiabatic passage. In addition, the proposed scheme is robust to the decoherence caused by the resonator decay and qubit relaxation, and does not need additional parameters, which could be feasible in experiment.
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.