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The Journal of Atomic and Molecular Sciences

Teleportation of a Product State of an Arbitrary Single-Particle State

Man-Lan Li, Liu Ye, Jie Yang

Published Aug 24, 2011• 1 citation
Publisher

Abstract

This paper proposes two schemes for teleporting a product state of an arbitrary single-particle state from a sender to a receiver via a four-particle entangled cluster state. The two different quantum channels are used, while the successful probabilities of these two schemes are different. In the first proposal, the successful probability is 1.0 and in the second proposal, the successful probability is $4q^2$ if the receiver performs an appropriate unitary operation.

DOI
10.4208/jams.031211.041011a

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This paper proposes two schemes for teleporting a product state of an arbitrary single-particle state from a sender to a receiver via a four-particle entangled cluster state. The two different quantum channels are used, while the successful probabilities of these two schemes are different. In the first proposal, the successful probability is 1.0 and in the second proposal, the successful probability is 4q24q^24q2 if the receiver performs an appropriate unitary operation.
Two schemes for teleporting an unknown two-particle entangled state via a four-qubit non-maximally entangled cluster state as quantum channel are proposed.In the first scheme,a special bipartite entangled state was teleported,the receiver Bob can reconstruct the original state with a certain probability according to the sender Alice's measurement results,and the successful probability is determined by the smallest two coefficients' absolute values of the cluster state.In the latter scheme an arbitrary two-particle entangled state was teleported.Contrast to the first scheme, Bob should perform a quantum controlled phase gate operation besides the unitary transformation. The considerable advantage is that it employs a non-maximally entangled cluster state as quantum channel in these two schemes.Thus,the schemes can greatly reduce the amount of entanglement resources and need less classical bits.
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.
We propose two schemes for teleporting an arbitrary three-particle state.In the first scheme,a two-particle state and a three-particle entangled state (both non-maximally entangled states)are used as quantum channels,while in the second scheme,three non-mnaximally entangled particle pairs are employed as quantum channels.We show that teleportation can be successfully realized with certain probability if a receiver adopts some appropriate unitary transformations.Their success probabilities and the classical communication costs are different.
We propose two schemes for teleporting an arbitrary three-particle state. In the first scheme, a two-particle state and a three-particle entangled state (both non-maximally entangled states) are used as quantum channels, while in the second scheme, three non-maximally entangled particle pairs are employed as quantum channels. We show that teleportation can be successfully realized with certain probability if a receiver adopts some appropriate unitary transformations. Their success probabilities and the classical communication costs are different.