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Physica Scripta

Engineering quantum networks through Bragg diffracted hyperentangled atoms

Saad Mohammed Anis, Tasawar Abbas, Muhammad Imran, Rameez‐ul‐Islam

Published Aug 10, 2021• 11 citations
Publisher

Abstract

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.

DOI
10.1088/1402-4896/ac1c17

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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.
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.
Abstract Hyperentangled states have boosted many quantum informatics tasks tremendously due to their high information content per quantum entity. Until now, however, the engineering and manipulation of such states were limited to photonic systems only. In present article, we propose generating atomic hyperentanglement involving atomic internal states as well as atomic external momenta states. Hypersuperposition, hyperentangled cluster, Bell and Greenberger–Horne–Zeilinger states are engineered deterministically through resonant and off-resonant Bragg diffraction of neutral two-level atoms. Based on the characteristic parameters of the atomic Bragg diffraction, such as comparatively large interaction times and spatially well-separated outputs, such decoherence resistant states are expected to exhibit good overall fidelities and offer the evident benefits of full controllability, along with extremely high detection efficiency, over the counterpart photonic states comprised entirely of flying qubits.
We propose experimentally feasible schemes for deterministic state engineering of a superposition as well as a variety of entangled states e.g., Bell, GHZ, Cluster and graph states through exploration of the quantized momenta states of the neutral atoms via distant manipulations. Such decoherence-resistant, distantly contrived momenta states are realized using first order, off-resonant Bragg diffraction of the two-level atoms from quantized cavity fields. The state preparation procedure, along with quantized momenta Bragg interactions, also invokes usual resonant and dispersive atom-field interactions and culminates deterministically into the states having overall good fidelities.
Abstract Hyperentangled states have enhanced channel capacity in quantum processing and have yielded` evident increased communication speed in quantum informatics as a consequence of excessively high information content coded over each quantum entity. In the present article, we intend to demonstrate this fact by utilizing atomic states simultaneously entangled both in internal as well as external degrees of freedom, i.e. the de Broglie motion for remote state preparation (RSP). The results clearly demonstrate that we can efficiently communicate two bit information while manipulating only a single quantum subsystem. The states are prepared and manipulated using atomic Bragg diffraction as well as Ramsey interferometry, both of which are now considered as standard, state of the art tools based on cavity quantum electrodynamics. Since atomic Bragg diffraction is a large interaction time regime and produces spatially well separated, decoherence resistant outputs, the schematics presented here for the RSP offer important perspectives on efficient detection as well as unambiguous information coding and readout. The article summarizes the experimental feasibility of the proposal, culminating with a brief discussion.
In this paper, we theoretically study the concept of the wave–particle duality of two entangled neutral Bragg diffracted atoms. This is an extension of a recent study where the same idea was proposed in the photonic setup [Man et al., Sci. Rep. 7, 42539 (2017)] using two independent Mach–Zehnder interferometers. Now, we propose a similar scheme using the cavity-QED based setup, which comprises two independent atomic de Broglie Mach–Zehnder–Bragg interferometers, a source cavity that generates two external momenta state entangled atoms. Once the atoms pass through the source cavity initially prepared in the superposition of zero and one photon, they emerge out of the cavity in entangled momenta state such that if one atom is transmitted to the upper interferometer, then the second atom must traverse the lower interferometer, and vice versa. The final atomic de Broglie beam splitter at the top interferometer is prepared in the superposition of zero and one photon and facilitates observing the wave or particle aspect in a single setting. This entire setup functions in off-resonant Bragg diffraction and the proposed schematics are shown to be experimentally feasible under contemporary research scenarios.