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Physical Review A

Directional quantum state transfer in a dissipative Rydberg-atom-cavity system

Dongxiao Li, Xiao‐Qiang Shao

Published Mar 28, 2019• 34 citations
Publisher

Abstract

Quantum state transfer is a basic task for quantum information processing, which can be easily executed using the coherent dynamics for a closed system instead of the dissipative dynamics for an open system. Here we propose a dissipation-assisted scheme to directionally transfer an arbitrary quantum state from the sender $A$ to the receiver $B$ by virtue of the Rydberg antiblockade mechanism, the laser-induced Raman transition, and the photon loss of an optical cavity. The prominent advantage of the current proposal is that it does not require accurate control over the relevant parameters of the system, as the target state is the steady state of the whole process. The effect of atomic spontaneous emission for the excited states is dramatically restricted by the adiabatic elimination, and a high population of the transferred state around $99%$ is achievable with the current experimental technology.

DOI
10.1103/physreva.99.032348

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Quantum state transfer is a basic task for quantum information processing, which can be easily executed using the coherent dynamics for a closed system instead of the dissipative dynamics for an open system. Here we propose a dissipation-assisted scheme to directionally transfer an arbitrary quantum state from the sender AAA to the receiver BBB by virtue of the Rydberg antiblockade mechanism, the laser-induced Raman transition, and the photon loss of an optical cavity. The prominent advantage of the current proposal is that it does not require accurate control over the relevant parameters of the system, as the target state is the steady state of the whole process. The effect of atomic spontaneous emission for the excited states is dramatically restricted by the adiabatic elimination, and a high population of the transferred state around 9999%99 is achievable with the current experimental technology.
Quantum state transfer plays an important role in quantum information processing, and it has been obtained many of the theoretical and experimental triumphs. But designing a dissipation-assisted scheme to transfer a quantum state is still by no means trivial. Here we put forward an easier scheme to dissipatively transfer an arbitrary quantum state from a sender to a receiver with two four-level atoms and three lasers in a lossy coupled-cavity array, and make the quantum state stable at the receiver via the photon loss of optical cavities. Owing to the assistance of the dissipation, the target state becomes the steady state of the whole process. Thus there is no requirement on external time-dependent controls. Furthermore, the atomic spontaneous emission can be significantly suppressed as the adiabatic elimination of the excited states. We also discuss the experimental feasibility of this scheme with the current experimental technologies and a high fidelity of the transferred state in the receiver can be above 98%.
A scheme is proposed for dissipative generation of maximally entanglement between two Rydberg atoms in the context of cavity QED. The spontaneous emission of atoms combined with quantum Zeno dynamics and the Rydberg antiblockade guarantees a unique steady solution of the master equation of the system, which just corresponds to the antisymmetric Bell state $|S\ensuremath{\rangle}$. The convergence rate can be accelerated by the ground-state blockade mechanism of Rydberg atoms. Meanwhile the effect of cavity decay is suppressed by the Zeno requirement, leading to a steady-state fidelity about 9090%90 as the single-atom cooperativity parameter $C\ensuremath{\equiv}{g}^{2}/(\ensuremath{\kappa}\ensuremath{\gamma})=10$, and this restriction is further relaxed to C=5.2C=5.2C=5.2 once the quantum-jump-based feedback control is exploited.
We propose a potentially practical scheme to realize arbitrary quantum state transfer between two traveling atoms that go through a high-finesse cavity by using stimulated Raman adiabatic passage in an atom-cavity-laser system under a dissipative environment. By numerically simulating the dynamics of the system, we demonstrate quantitatively that the fidelities of the quantum state transferred between two atoms can be maximized by elaborately adjusting the peak amplitudes of the laser's Rabi frequency and the detuning of the Raman transition. Additionally, the noise effect from the atomic and cavity dissipation can reduce the fidelity. The experimental feasibility is justified using currently available technology.
Inspired by a recent work [Reiter, Reeb, and Sorensen, Phys. Rev. Lett. {\bf117}, 040501 (2016)], we present a simplified proposal for dissipatively preparing a Greenberger-Horne-Zeilinger (GHZ) state of three Rydberg atoms in a cavity. The ZZZ pumping is implemented under the action of the spontaneous emission of Λ\LambdaΛ-type atoms and the quantum Zeno dynamics induced by strong continuous coupling. In the meantime, a dissipative Rydberg pumping breaks up the stability of the state ∣GHZ+⟩|{\rm GHZ}_+\rangle∣GHZ+​⟩ in the process of ZZZ pumping, making ∣GHZ−⟩|{\rm GHZ}_-\rangle∣GHZ−​⟩ be the unique steady state of system. Compared with the former scheme, the number of driving fields acting on atoms is greatly reduced and only a single-mode cavity is required. The numerical simulation of the full master equation reveals that a high fidelity ∼98%\sim98\%∼98% can be obtained with the currently achievable parameters in the Rydberg-atom-cavity system.
We propose an alternative scheme for constructing a shortcut to implement the quantum state transfer between two three-level atoms founded on the invariant-based inverse engineering in a cavity quantum electronic dynamics (QED) system. Quantum information can be quickly transferred between atoms by taking advantage of the cavity field as a medium. Through our design of the time-dependent laser pulse and atom–cavity coupling, we send atoms through the cavity within a short time interval, which involves the two processes of the invariant dynamics between each atom and the cavity field simultaneously. We redesign a reasonable Gaussian-type wave form in the atom–cavity coupling for a realistic experimental operation. Numerical simulation shows that the target state can be quickly populated with a high fidelity which is robust against both the parameter fluctuations and the dissipation.