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Communications in Theoretical Physics

Comment on ‘Approximate and Conditional Teleportation of an Unknown Atomic State Without Bell-State Measurement with Two-Photon Interaction’

A.D. dSouza, Wesley Bueno Cardoso, Ardiley Torres Avelar, B. Baseia

Published Jul 1, 2009• 4 citations
Publisher

Abstract

In a previous work [Commun. Theor. Phys. 45 (2006) 79] a scheme was presented for approximate and conditional teleportation of an unknown atomic state in a QED-cavity without Bell-state measurement via two-photon Jaynes–Cummings model in the effective Hamiltonian approach. This comment presents an alternative method, based on the so called 'full two-photon Jaynes–Cummings Hamiltonian approach'. Accordingly, it describes the evolution of the two-photon degenerate process for arbitrary average photon number inside the cavity, as the correct way to implement teleportation in this scenario.

DOI
10.1088/0253-6102/52/1/09

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Communications in Theoretical Physics•Mar 1, 2008•11 citations
In a previous work [Commun. Theor. Phys. 45 (2006) 79] a scheme was presented for approximate and conditional teleportation of an unknown atomic state in a QED-cavity without Bell-state measurement via two-photon Jaynes–Cummings model in the effective Hamiltonian approach. This comment presents an alternative method, based on the so called 'full two-photon Jaynes–Cummings Hamiltonian approach'. Accordingly, it describes the evolution of the two-photon degenerate process for arbitrary average photon number inside the cavity, as the correct way to implement teleportation in this scenario.
A scheme for approximately and conditionally teleporting an unknown atomic state via two-photon interaction in cavity QED is proposed. It is the extension of the scheme of Ref. [11] [Phys. Rev. A 69 (2004) 064302], which is based on Jaynes–Cummings model in QED and where only a time point of system evolution and the corresponding fidelity implementing the teleportation are given. In our scheme, the two-photon interaction Jaynes–Cummings model is used to realize the approximate and conditional teleportation. Our scheme does not involve the Bell-state measurement and an additional atom, only requiring two atoms and one single-mode cavity. The fidelity of the scheme is higher than that of Ref. [11]. The scheme may be generalized to not only the teleportation of the state of a cavity mode to another mode by means of a single atom but also the teleportation of the state of a trapped ion.
A scheme for approximately and conditionally teleporting an unknown atomic state in dissipative cavity QED is proposed. It is the extension of the scheme of [Phys. Rev. A 69 (2004) 064302], where the cavity mode decay has not been considered and only a time point of system evolution and the corresponding fidelity implementing the teleportation are given. In fact, the cavity mode decay exists really and must be delt with. In this paper, we investigate the influence from the cavity mode decay on the implementation of the approximate and conditional teleportation by means of the dissipative Jaynes–Cummings model and then show the analytical expression of the fidelity of realization of the teleportation. Alternatively, our scheme does not involve an additional atom, only requiring two atoms and one single-mode cavity.
A scheme for approximately and conditionally teleporting an unknown atomic-entangled state in cavity QED is proposed. It is the novel extension of the scheme of [ Phys. Rev. A 69 (2004) 064302], where the state to be teleported is an unknown atomic state and where only a time point of system evolution and the corresponding fidelity implementing the teleportation are given. In fact, there exists multi-time points and the corresponding fidelities, which are shown in this paper and then are used to realize the approximate and conditional teleportation of the unknown atomic-entangled state. Naturally, our scheme does not involve the Bell-state measurement or an additional atom, which is required in the Bell-state measurement, only requiring one single-mode cavity. The scheme may be generalized to not only the teleportation of the cavity-mode-entangled-state by means of a single atom but also the teleportation of the unknown trapped-ion-entangled-state in a linear ion trap and the teleportation of the multi-atomic entangled states included in generalized GHZ states.
一个计划为近似并且有条件地，在洞证完经由二光子的相互作用移植一个未知原子状态的电视被建议。它是裁判员的计划的延期。[11 ][Phys。加快。一 69 (2004 ) 064302 ] ，它基于 Jaynes—在证完的卡明斯模型并且在系统进化和实现远距传物的相应忠实的一个仅仅时间点被给的地方。在我们的计划，二光子的相互作用 Jaynes-Cummings 模型被用来认识到近似、有条件的远距传物。我们的计划不包含钟状态测量和一个另外的原子，仅仅要求二个原子和一个单个模式的洞。计划的忠实比裁判员的高。[11 ] 。计划可以借助于一个单个原子而且一个套住的离子的状态的远距传物被概括到一个洞模式的状态的远距传物到另一个模式不仅。
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.