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

Abstract

We propose a scheme to realize fast generation of three-dimensional entanglement between two atoms via superadiabatic-based shortcuts in an atom-cavityfiber system. The scheme is experimentally feasible because of the same form of the counterdiabatic Hamiltonian as that of the effective Hamiltonian. Besides, numerical simulations are given to prove that the scheme is strongly robust against variations in various parameters and decoherence.Keywords: 3D entanglement, Shortcuts to adiabaticity, Superadiabatic iterations I. INTRODUCTIONWith the rapid development in quantum information processing, high-dimensional entanglement is increasingly drawing attention of researchers due to its more superior security than qubit entanglement in the field of quantum key distribution and its greater violation of local realism [1][2][3][4][5]. Thus, the generation of high-dimensional entanglement is of great importance. Up to present, a large number of schemes have been proposed for generating high-dimensional entanglement via various techniques [6][7][8][9][10][11][12][13][14][15]. Among these techniques, stimulated Raman adiabatic passage (STIRAP) is widely used in fields of time-dependent interaction for many purposes [16,17] because of its robustness against atomic spontaneous emissions and variations in experimental parameters. However, STIRAP usually requires a relatively long interaction time for restraining non-adiabatic transitions.A set of techniques called "Shortcuts to adiabaticity (STA)" are promising for quantum information processing which actually fights against the decoherence, noise, or losses that are accumulated during a long operation time. Hence, many schemes are proposed to construct STA [18][19][20][21][22][23][24][25][26][27][28]. By using STA, a great deal of remarkable achievements have been made in *

Fast generation of W state via superadiabatic-based shortcut in circuit quantum electrodynamics*

“…If the initial state is |φ 1 ⟩, it is obviously noted that the states |ζ − ⟩ and |Φ − ⟩ are not populated during the whole evolution. [48] Thus the Hamiltonian in Eq. ( 4) can be simplified as…”

Generation of three-dimensional entanglement between two antiblockade Rydberg atoms with detuning-compensation-induced effective resonance

“…In addition, high-dimensional entanglement enables higher channel capacity of quantum communication and higher efficiency of quantum information processing [16]. In the recent past years, a lot of theoretical schemes of generating high-dimensional entanglement was proposed in various physical platforms, including atom-cavity systems [17][18][19][20][21][22][23][24][25][26][27], Rydberg atom systems [28][29][30][31], photon-emitter systems [32,33], nitrogen-vacancy center [34] and ion-trap systems [35]. In addition, the high-dimensional entanglement-related experiments have been reported [16,[36][37][38][39][40][41].…”

“…Each atom is driven by two laser fields, and the two atoms are rendered into the Rydberg anti-blockade regime. Different from the existing schemes of the atomic high-dimensional entanglement [17][18][19][20][21][22][23][24][25][26][27], on one hand the proposed scheme does not need a cavity that mediates the interaction between two atoms because the two atoms interact with each other by the direct RRI. On the other hand, the existing Rydberg-atom-based schemes of the highdimensional entanglement are almost based on dissipative dynamics that requires very long evolution time [28][29][30][31], while the present scheme uses the unitary dynamics which can ensure the fast generation of the 3D entanglement.…”

Robust SWAP gate on two distant atoms through virtual excitations and transitionless quantum driving

“…Lately this technique has been reviewed with regard to its concepts, methods, and applications in various fields [29]. In the past several years, STAP has been already used widely in fast creating diverse quantum states [30][31][32][33][34][35][36][37][38][39][40][41] and quantum gates [42][43][44][45][46][47][48][49].…”