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International Journal of Modern Physics C

DISCRIMINATING 16 MUTUALLY ORTHOGONAL 4-ATOM CLUSTER STATES VIA CAVITY QED IN TELEPORTING ARBITRARY UNKNOWN TWO-ATOM STATE WITH A 4-ATOM CLUSTER STATE AS QUANTUM CHANNEL

WEN ZHANG, Yimin Liu, Zhang-Yin Wang, Zhanjun Zhang

Published May 1, 2008• 10 citations
Publisher

Abstract

We propose a scheme for discriminating 16 mutually orthogonal 4-atom cluster entangled states (CES) via cavity QED in teleporting an arbitrary unknown two-atom state with a 4-atom CES as quantum channel. Utilizing the interaction of atoms with cavity and classical field, the complicated 4-atom CESs are transformed into the simple 4-atom product states. Hence the difficulty of measurement during the teleportation process is degraded. In the present scheme, we allow for the case of a strong classical driving field and the detuning between the atoms and the cavity is assumed large enough. Thereby the photon-number-dependent parts in the effective Hamiltonian can be neglected, and the scheme is insensitive to both the cavity decay and the thermal field.

DOI
10.1142/s0129183108012455

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We propose a scheme for discriminating 16 mutually orthogonal 4-atom cluster entangled states (CES) via cavity QED in teleporting an arbitrary unknown two-atom state with a 4-atom CES as quantum channel. Utilizing the interaction of atoms with cavity and classical field, the complicated 4-atom CESs are transformed into the simple 4-atom product states. Hence the difficulty of measurement during the teleportation process is degraded. In the present scheme, we allow for the case of a strong classical driving field and the detuning between the atoms and the cavity is assumed large enough. Thereby the photon-number-dependent parts in the effective Hamiltonian can be neglected, and the scheme is insensitive to both the cavity decay and the thermal field.
This paper proposes a scheme for implementing the teleportation of an arbitrary unknown two-atom state by using a cluster state of four identical 2-level atoms as quantum channel in a thermal cavity. The two distinct advantages of the present scheme are: (i) The discrimination of 16 orthonormal cluster states in the standard teleportation protocol is transformed into the discrimination of single-atom states. Consequently, the discrimination difficulty of states is degraded, (ii) The scheme is insensitive to the cavity field state and the cavity decay for the thermal cavity is only virtually excited when atoms interact with it. Thus, the scheme is more feasible.
We propose a scheme for the teleportation of an arbitrary two-atom entangled state |ϕ〉12 = a|gg〉12 + b|ge〉12 + c|eg〉12 + d|ee〉12 in driven QED. Two pairs of maximally two-atom entangled state are required as the quantum channel. This scheme does not involve apparent (or direct) Bell-state measurement and is insensitive to the cavity decay and the thermal field. Meanwhile this approach can be used to teleport the unknown multipartite GHZ state. The probability of success in our scheme can reach 1.0.
We present a feasible scheme for teleportation of four-qubit cluster-class state in cavity QED. Two Greenherg-Horne-Zeilinger (GHZ) pairs are chosen as the quantum channel. By using the atom-cavity field interaction in the dispersive regime and with the assistance of a strong classical field, we can prepare the entangled quantum channel, accomplish the joint three-qubit measurement and then teleport the cluster-class state from the sender (Alice) to the Receiver (Bob) successfully. It is noted that this scheme is insensitive to both the cavity decay and the thermal field.
A scheme for teleportation of an unknown three-atom entangled W state is proposed,in which a cluster state of four identical two-level atoms is used as quantum channel.It is proved that,an arbitrary three-atom entangled W state can be teleported perfectly by introducing an additional atom and performing a collective unitary transformation as well as appropriate single-atom unitary transformations on the receiver's side based on the classical information of the sender.In the scheme,the effects of the thermal field and the cavity decay are eliminated.Furthermore,the Bell measurements are not needed,and the successful probability of teleportation is 1.