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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Probabilistic teleportation of two-unknown entangled atomic states without Bell-State measurement

Xiaoyan Zhou, Fang Jian-Xing, Ni Hui-Ying

Published Oct 26, 2007• 0 citations
Publisher

Abstract

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.

DOI
10.1117/12.756072

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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.
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.
We propose a feasible scheme for implementing probabilistic teleportation of an unknown atomic state. In this scheme, atom 1 is initially in an arbitrary state, atoms 2 and 3 are prepared in a partially entangled pure state. After receiving the result of Bell-state measurement performed by Alice on atoms 1 ant 2, Bob lets atoms 2 and auxiliary atom A simultaneously interact with a single-mode vacuum cavity. Only controlling the interact time, we can reconstruct the initial state of atom 1 on the atom 3, i.e. double of square of mode of smaller coefficient of superposition state serving as quantum channel. Moreover, our scheme is insensitive to cavity decay, because atoms are interacting with a large detuning vacuum cavity field.
We present a scheme for realizing probabilistic teleportation of an unknown N -atom state via cavity QED. This scheme requires only a nonmaximally entangled pair to be used as a quantum channel, so the requirement of entanglement is reduced. In addition, our scheme does not involve the Bell-state measurement and is insensitive to the cavity decay, which is important from the experimental point of view. If the quantum channel is a two-atom maximally entangled state, teleportation of an unknown N -atom state can be realized by a simpler scheme via cavity QED.