Fast generation of three-dimensional entanglement between two spatially separated atoms via invariant-based shortcut

We report the step-by-step construction of the exact, closed and explicit expression for the evolution operator U(t) of a localized and isolated qubit in an arbitrary time-dependent field, which for concreteness we assume to be a magnetic field. Our approach is based on the existence of two independent dynamical invariants that enter the expression of SU(2) by means of two strictly related time-dependent, real or complex, parameters. The usefulness of our approach is demonstrated by exactly solving the quantum dynamics of a qubit subject to a controllable time-dependent field that can be realized in the laboratory. We further discuss possible applications to any SU(2) model, as well as the applicability of our method to realistic physical scenarios with different symmetry properties.

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“…Other dynamic invariant-based applications include inverse engineering processes that produce shortcuts to adiabaticity [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Invariant-Parameterized Exact Evolution Operator for SU(2) Systems with Time-Dependent Hamiltonian

Nakazato

Sergi

Migliore

et al. 2023

Entropy

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“…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].…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Han¹,

Wu²,

Wang³

et al. 2020

Laser Phys.

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We propose a scheme for generating the three-dimensional (3D) entanglement between two Rydberg atoms. Two laser fields are imposed to drive two transitions of each atom. The Rydberg antiblockade is induced through the suitable choice of the relation among parameters. We propose to offset Stark shifts by introducing detuning compensation so as to induce an effective resonant three-level system concluding two collective ground states and the doubleexcitation state, instead of introducing the complicated auxiliary levels and laser fields. Four 3D entangled states are calculated out, and numerical simulations show that the high-fidelity 3D entanglement can be generated. The effect of the spontaneous radiations of the Rydberg states on the generation of the 3D entanglement is analyzed. In addition, we show the numerical search algorithm so as to get optimized parameters for shortening operation time and thus decreasing the decoherence accumulation.

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“…[44] By using STA, lots of remarkable achievements have been made in quantum information processing. [45][46][47][48][49][50][51][52][53][54][55] Also, many schemes have been proposed for speeding up the generations of GHZ states. [56][57][58][59][60][61] Recently, some schemes have been proposed by combining the technique of STA and the SQ system to generate entangled states.…”

Section: Introductionmentioning

confidence: 99%

Invariants-based shortcuts for fast generating Greenberger–Horne–Zeilinger state among three superconducting qubits

et al. 2017

Chinese Phys. B

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As one of the most promising candidates for implementing quantum computers, superconducting qubits (SQs) are adopted for fast generating the Greenberger-Horne-Zeilinger (GHZ) state by using invariants-based shortcuts. Three SQs are separated and connected by two coplanar waveguide resonators (CPWRs) capacitively. The complicated system is skillfully simplified to a three-state system, and a GHZ state among three SQs is fast generated with a very high fidelity and simple driving pulses. Numerical simulations indicate the scheme is insensitive to parameter deviations. Besides, the robustness of the scheme against decoherence is discussed in detail.

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Fast generation of three-dimensional entanglement between two spatially separated atoms via invariant-based shortcut

Cited by 11 publications

References 45 publications

Invariant-Parameterized Exact Evolution Operator for SU(2) Systems with Time-Dependent Hamiltonian

Invariant-Parameterized Exact Evolution Operator for SU(2) Systems with Time-Dependent Hamiltonian

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

Invariants-based shortcuts for fast generating Greenberger–Horne–Zeilinger state among three superconducting qubits

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