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Journal of Physics B Atomic Molecular and Optical Physics

Hyperentanglement teleportation through external momenta states

Liaqat Ali, Rameez‐ul‐Islam, Manzoor Ikram, Tasawar Abbas, Iftikhar Ahmad

Published Dec 8, 2021• 20 citations
Publisher

Abstract

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.

DOI
10.1088/1361-6455/ac42dc

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Hyperentangled states are vitally important for resource economy as they have exponential encoding capabilities per quantum entity. Apart from photonic hyperentanglements, only few proposals exist based on atomic systems. The present article discusses the schematics to generate hyperentangled atomic quantum networks in both internal states and external atomic momenta via cavity QED setup using the Atomic Bragg Diffraction technique. Various graph states forming quantum networks are engineered through hyperentangled correlations encompassing quantized external momenta and internal states of the two-level atoms. First one is a star shaped graph state which is attached to n receivers. The second one is a hybrid of the star and ring graph states, taking three star networks and joining them using dispersive atom-field interactions. Experimental feasibility has also been briefly elaborated under contemporary cavity QED research scenario.
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 We propose a novel scheme to engineer the atomic hyperentangled cluster and ring graph states invoking cavity-QED technique for applicative relevance to quantum biology and quantum communications utilizing the complex quantum networks. These states are engineered using both external quantized momenta states and energy levels of neutral atoms under off-resonant and resonant Atomic Bragg Diffraction (ABD) technique. The study of dynamical capacity and potential efficiency have certainly enhanced the range of usefulness of these states. In order to assess the operational behavior of such states when subjected to a realistic noise environment has also been simulated, demonstrating long enough sustainability of the proposed states. Moreover, experimental feasibility of the proposed scheme has also been elucidated under the prevailing cavity-QED research scenario.