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Chinese Physics B

A novel scheme of hybrid entanglement swapping and teleportation using cavity QED in the small and large detuning regimes and quasi-Bell state measurement method

Razieh Pakniat, Mohammad Kazem Tavassoly, Mohammad Hossein Zandi

Published Sep 23, 2016• 23 citations
Publisher

Abstract

We outline a scheme for entanglement swapping based on cavity QED as well as quasi-Bell state measurement (quasi-BSM) methods. The atom–field interaction in the cavity QED method is performed in small and large detuning regimes. We assume two atoms are initially entangled together and, distinctly two cavities are prepared in an entangled coherent–coherent state. In this scheme, we want to transform entanglement to the atom-field system. It is observed that, the fidelities of the swapped entangled state in the quasi-BSM method can be compatible with those obtained in the small and large detuning regimes in the cavity QED method (the condition of this compatibility will be discussed). In addition, in the large detuning regime, the swapped entangled state is obtained by detecting and quasi-BSM approaches. In the continuation, by making use of the atom–field entangled state obtained in both approaches in a large detuning regime, we show that the atomic as well as field states teleportation with complete fidelity can be achieved.

DOI
10.1088/1674-1056/25/10/100303

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Communications in Theoretical Physics•Jun 1, 2008•3 citations
We outline a scheme for entanglement swapping based on cavity QED as well as quasi-Bell state measurement (quasi-BSM) methods. The atom–field interaction in the cavity QED method is performed in small and large detuning regimes. We assume two atoms are initially entangled together and, distinctly two cavities are prepared in an entangled coherent–coherent state. In this scheme, we want to transform entanglement to the atom-field system. It is observed that, the fidelities of the swapped entangled state in the quasi-BSM method can be compatible with those obtained in the small and large detuning regimes in the cavity QED method (the condition of this compatibility will be discussed). In addition, in the large detuning regime, the swapped entangled state is obtained by detecting and quasi-BSM approaches. In the continuation, by making use of the atom–field entangled state obtained in both approaches in a large detuning regime, we show that the atomic as well as field states teleportation with complete fidelity can be achieved.
Abstract In this study, we present two protocols for entanglement swapping and quantum teleportation using an optomechanical cavity, wherein the moving mirror behaves as an auxiliary mode. The initial state of the system comprises two distinct entangled state pairs: one between atoms 1 and 2 and the other between cavity fields 3 and 4 (which are prepared in an entangled state of number and coherent states). By interacting the atom 2, field 3 and the auxiliary mode of the moving mirror, initially in the ground state ∣0〉 m , inside the optomechanical cavity, and applying the detection method, a tripartite entangled state is generated via entanglement swapping process. As a result, the initial atom 1–atom 2 and also field 3–field 4 entanglements are converted into the tripartite system, atom 1, field 4, and the auxiliary mode. We then evaluate and analyze the influence of the optomechanical coupling coefficient on the significant quantities in the entanglement swapping model, such as the success probability of the detection process, the fidelity, and the linear entropy (as a measure of entanglement). Finally, we demonstrate that the optomechanical cavity can be employed to teleport a bipartite entangled state with perfect fidelity by utilizing a quantum channel in the form of an unknown tripartite entangled state.
We have investigated the problem of teleporting a three-atom entangled W state and propose two schemes based on entanglement swapping to complete the teleportation. We put forward the first scheme for the teleportation of W state by using an EPR pair and a GHZ state via vacuum cavities, the second scheme for teleporting W state by using two EPR pairs as quantum channels and introducing an addition atom via thermal cavities. Further more, the distinct advantage of the present schemes are that the Bell-state measurement is not required. The effects of cavity decay and thermal field are all eliminated.
In this paper, we propose a protocol for teleportation of two unknown atomic states using non-maximally entangled states. We consider teleportation for atomic entangled states in cavity quantum electrodynamics (QED). Through analysis, we conclude that it could be succeed without joint BSM (Bell-State measurement). One BSM can be exactly converted into two separate atomic measurements on the two relevant atoms only by one step using the interaction between the atoms and atoms in the cavity. The most remarkable advantage of our scheme is that the teleportation and distillation procedure can be carried out concurrently. Suppose that the cavity mode is prepared in vacuum state. We can utilize the Hamiltonian for the system, discussing how to make teleportation successful. And we discuss the probability of reconstructing the initial state. We consider two identical two-level atoms simultaneously interacting with a single-mode cavity field. There is no energy exchange between the atomic system and the cavity, so we use the detuned interaction between atoms and atoms in cavity in the scheme which is insensitive to both the cavity decay and the thermal field. For the resonant cavity, in order to realize the teleportation successfully, the relationship between the teleportation time and the excited atom lifetime should take into consideration. The time required to complete the teleportation should much shorter than that of atom radiation. Hence, atom with a sufficiently long excited lifetime should be chosen. The discussion of the scheme indicates that it can be realized by current technologies.
Recently we studied the effect of photon addition in the initial coherent field on the entanglement swapping which causes some improvements in the process [Soltani et al., Int. J. Mod. Phys. B 31, 1750198 (2017)]. In this paper, we investigate the influence of multiphoton transitions in the atom–field interaction based on the cavity quantum electrodynamics on the entanglement swapping and show its considerable constructive effect on this process. The presented model consists of two two-level atoms namely A1and A2and two distinct cavity fields F1and F2. Initially, the atoms are prepared in a maximally entangled state and the fields in the cavities are prepared in hybrid entangled state of number and coherent states, separately. Making the atom A2to interact with the field F1(via the generalized Jaynes–Cummings model which allows m-photon transitions between atomic levels in the emission and absorption processes) followed by their detection allows us to arrive at the entanglement swapping from the two atoms A1, A2and the two fields F1, F2to the atom–field A1–F2system. Then, we pay our attention to the time evolution of success probability of detecting processes and fidelity. Also, to determine the amount of entanglement of the generated entangled state in the swapping process, the linear entropy is evaluated and the effect of parameter [Formula: see text] concerning the multiphoton transitions on these quantities is investigated, numerically. It is observed that, by increasing the number of photons in the transition process, one may obtain considerable improvement in the relevant quantities of the entanglement swapping. In detail, the satisfactorily acceptable values 1 and 0.5 corresponding to success probability and fidelity are obtained for most of the times during observing of the above-mentioned procedure. We concluded that the presented formalism in this paper is much more advantageous than our presentation model in our earlier work mentioned above.