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Chinese Physics B

Scheme for implementing perfect quantum teleportation with four-qubit entangled states in cavity quantum electrodynamics

Jing-Wu Tang, Guan-Xiang Zhao, Xiong-Hui He

Published May 1, 2011• 4 citations

Abstract

Recently, Peng et al . [ 2010 Eur. Phys. J . D 58 403 ] proposed to teleport an arbitrary two-qubit state with a family of four-qubit entangled states, which simultaneously include the tensor product of two Bell states, linear cluster state and Dicke-class state. This paper proposes to implement their scheme in cavity quantum electrodynamics and then presents a new family of four-qubit entangled state |Ω 4 〉1234. It simultaneously includes all the well-known four-qubit entangled states which can be used to teleport an arbitrary two-qubit state. The distinct advantage of the scheme is that it only needs a single setup to prepare the whole family of four-qubit entangled states, which will be very convenient for experimental realization. After discussing the experimental condition in detail, we show the scheme may be feasible based on present technology in cavity quantum electrodynamics.

DOI: 10.1088/1674-1056/20/5/050312

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Recently, Peng et al . [ 2010 Eur. Phys. J . D 58 403 ] proposed to teleport an arbitrary two-qubit state with a family of four-qubit entangled states, which simultaneously include the tensor product of two Bell states, linear cluster state and Dicke-class state. This paper proposes to implement their scheme in cavity quantum electrodynamics and then presents a new family of four-qubit entangled state |Ω 4 〉1234. It simultaneously includes all the well-known four-qubit entangled states which can be used to teleport an arbitrary two-qubit state. The distinct advantage of the scheme is that it only needs a single setup to prepare the whole family of four-qubit entangled states, which will be very convenient for experimental realization. After discussing the experimental condition in detail, we show the scheme may be feasible based on present technology in cavity quantum electrodynamics.

A scheme for teleportation of an arbitrary two-qubit state using a four-qubit linear cluster-class state is proposed.Quantum teleportation can be successfully realized with a certain probability if the receiver can adopt an appropriate collective unitary transformation after receiving the sender's Bell-state measurement information.The scheme is more practical than previous ones using maximally entangled states as the quantum channel.In addition,an important conclusion is obtained from the above scheme that a maximally four-qubit entangled state(cluster state)is extracted from a single copy of the cluster-class state with the same probability as the teleportation.

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.

Teleportation of an arbitrary two-qubit state with a single partially entangled state, a four-qubit linear cluster-class state, is studied. The case is more practical than previous ones using maximally entangled states as the quantum channel. In order to realize teleportation, we first construct a cluster-basis of 16 orthonormal cluster states. We show that quantum teleportation can be successfully implemented with a certain probability if the receiver can adopt appropriate unitary transformations after receiving the sender's cluster-basis measurement information. In addition, an important conclusion can be obtained that a four-qubit maximally entangled state (cluster state) can be extracted from a single copy of the cluster-class state with the same probability as the teleportation in principle.

Abstract By utilizing the four-qubit cluster state as quantum channel, two efficient quantum schemes for teleporting an arbitrary single-qubit state in a controlled manner are put forward. In one scheme the controller needs to dominate a qubit only, while in another scheme the controller has to hold two qubits. The inspection of the necessary operations indicates that both schemes are feasible in terms of the current technologies. Moreover, these two schemes are compared with two competing schemes which employ the same quantum channel [i.e., the JM-schemes proposed by Jiang and Mo, Int. J. Theor. Phys. 56, 3084 (2017)]. It is found that, in contrast to the JM-schemes, the schemes we proposed have some prominent advantages, such as lower consumption of classical information, fewer necessary local quantum operations, and higher intrinsic efficiency.

Abstract Based on the four-qubit cluster state as quantum channel, we put forward a novel scheme for teleporting a two-qubit arbitrary entangled state. The necessary quantum operations for accomplishing the task are two controlled-not gate operations, one controlled-phase gate operation, four single-qubit measurements and two single-qubit transformed operations. They are easily achievable with current experimental techniques. Besides, the present scheme is deterministic because its probability of success is 100 % .