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Annalen der Physik

Cavity‐Assisted Atomic External Momenta State Teleportation

Liaqat Ali, Murad Ahmad, Rameez‐ul‐Islam, Muhammad Imran, Manzoor Ikram, Iftikhar Ahmad

Published Dec 22, 2023• 3 citations
Publisher

Abstract

Abstract The quantized momentum eigenstates of neutral atoms offer high resistance to decoherence and thus suggests a viable alternative for quantum informatics tasks including teleportation. In this work, a scheme is suggested to teleport an unknown superposition of two distinct external momentum states of a neutral atom onto the similar momentum states of a distant atom at the receiving end through the off‐resonant atomic Bragg diffraction (ABD). In order to teleport this unknown state from the sender, that is, Alice, to the receiver, that is, Bob, a pre‐existing entangled link formed through a high‐Q cavity at Alice's end and momentum states of a neutral atom at the Bob's end are utilized. Further, while citing the realistic experimental parameters, it is demonstrated that the proposal can easily be implemented experimentally under the prevailing cavity‐QED atom‐field research scenario. The proposal is also generalized to cover the teleportation of the multipartite entangled momenta states and the case of multipartite GHZ entangled states is elucidated in details. However, the procedure is generic and can be extended to cover the teleportation schematics for any arbitrary atomic momenta states.

DOI
10.1002/andp.202300277

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Abstract The quantized momentum eigenstates of neutral atoms offer high resistance to decoherence and thus suggests a viable alternative for quantum informatics tasks including teleportation. In this work, a scheme is suggested to teleport an unknown superposition of two distinct external momentum states of a neutral atom onto the similar momentum states of a distant atom at the receiving end through the off‐resonant atomic Bragg diffraction (ABD). In order to teleport this unknown state from the sender, that is, Alice, to the receiver, that is, Bob, a pre‐existing entangled link formed through a high‐Q cavity at Alice's end and momentum states of a neutral atom at the Bob's end are utilized. Further, while citing the realistic experimental parameters, it is demonstrated that the proposal can easily be implemented experimentally under the prevailing cavity‐QED atom‐field research scenario. The proposal is also generalized to cover the teleportation of the multipartite entangled momenta states and the case of multipartite GHZ entangled states is elucidated in details. However, the procedure is generic and can be extended to cover the teleportation schematics for any arbitrary atomic momenta states.
Abstract We propose experimentally feasible schematics to teleport one of the major attributes of matter—i.e. atomic motion in the momentum space—with the assistance of Bragg regime atom-cavity field interactions. In this context, the procedure for teleportation of a superposition of the external momentum of a neutral atom along with its atomic momentum Bell state is described in detail. The protocol is then generalized to cover the teleportation of any high-dimensional entangled state. Such schematics based on a hybrid system—i.e. atoms and photons—may solve a long standing problem by efficiently closing both the detection as well as locality loopholes simultaneously for Bell’s inequality testing, an option not available with either photons or atoms alone.
Abstract The conventional teleportation protocol requires a state entangled in only one degree of freedom (DOF), while hyperteleportation requires more than single DOF to complete the task. The hyperteleportation schematics are demonstrated only for the photonic systems, where in the present paper we extend the idea to a hyperteleportation protocol involving the atomic internal and external states. The protocol is deterministically engineered through resonant and off-resonant atomic Bragg diffraction involving two-level neutral atoms under standard cavity-QED working environment. Moreover, the longer interaction time Bragg’s regime with well separated transverse momenta states as an output of the neutral atoms guarantees the high enough engineering fidelities with reduced decoherence rates. The experimental parameters for the demonstration of the proposed scheme are also elucidated briefly describing the optimistic feasibility for the experimental execution of the proposed schematics.
An alternative scheme is presented for teleportation of a two-atom entangled state in cavity quantum electrodynamics (QED). It is based on the resonant atom–cavity field interaction. In the scheme, only one cavity is involved, and the number of the atoms needed to be detected is decreased compared with the previous scheme. Since the resonant atom–cavity field interaction greatly reduces the interaction time, the decoherence effect can be effectively suppressed during the teleportation process. The experimental feasibility of the scheme is discussed. The scheme can easily be generalized to the teleportation of N-atom Greeninger–Horne–Zeilinger (GHZ) entangled states. The number of atoms needed to be detected does not increase as the number of the atoms in the GHZ state increases.
An alternative scheme is proposed for teleportation of an unknown atomic-entangled state. The scheme is based on the resonant interaction of a two-mode cavity field with a Λ-type three-level atom. In contrast with the previously proposed scheme of [Commun. Theor. Phys. 47 (2007) 253], the present scheme is ascendant, since the fidelity is 1.0 in principle similarly without the Bell-state measurement. The scheme may be generalized to not only the teleportation of the cavity-mode-entangled-state but also the teleportation of the multi-atomic entangled states included in generalized GHZ states. And the scheme is experimentally feasible based on the current cavity QED technique.
We propose a scheme for the teleportation of an unknown two-particle entangled EPR state without the Bell-state measurement.Alice needs to teleport an unknown two-particle EPR state to Bob.Her atoms and Bob's are prepared in the maximal entangled GHZ state,which forms the quantum channel.She sends two atoms through a single-mode cavity field,and drives them by a strong classical field at the same time.Throngh the interaction between the atoms and the cavity,the states of these atoms are evolved.After the interaction,Alice realizes the teleportation successfully.In the scheme,the effects of thermal field and cavity decay are all eliminated.The success probability is 1.0,and the fidelity is 1.0 too.