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

Probabilistic teleportation of the three-particle W entangled state via nonmaximally entangled cluster state

Hongmei Huang

Published Mar 14, 2013• 1 citation
Publisher

Abstract

A scheme of teleportation of the three-particle W entangled state via nonmaximally entangled Cluster state is proposed in the paper. Firstly, an auxiliary particle is introduced, and two particles in quantum channel carry out CNOT operation on it; secondly, distorted state caused by nonmaximally entangled quantum channel can be recovered by constructing unitary transform matrix; finally, the teleportation of entangled W state can be achieved with probability. The Bell measurement can be reduced and the resource of quantum channels can be saved for using one entangled Cluster state as quantum channel.

DOI
10.1117/12.2009192

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A scheme of teleportation of the three-particle W entangled state via nonmaximally entangled Cluster state is proposed in the paper. Firstly, an auxiliary particle is introduced, and two particles in quantum channel carry out CNOT operation on it; secondly, distorted state caused by nonmaximally entangled quantum channel can be recovered by constructing unitary transform matrix; finally, the teleportation of entangled W state can be achieved with probability. The Bell measurement can be reduced and the resource of quantum channels can be saved for using one entangled Cluster state as quantum channel.
We propose a scheme for teleportation of a three-particle entangled W state through two-particle entangled quantum channels. Firstly, the maximally entangled states are taken as quantum channels, then, the case of nonmaximally entangled channels is considered. We find that when the channels are nonmaximally entangled states, by introducing an ancillary qubit and constructing an unitary transformation properly, teleportation of three-particle entangled W state can be implemented with certain probability.
A scheme of teleportation of a three-particle entangled GHZ state through a two-paticle entangled quantum channels is proposed. the two-particle nonmaximally entangled state is taken as quantum channels, We find that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit, constructing an unitary transformation properly, teleportation of three-paticle entangled GHZ state can be implemented with certain probability. This scheme saves the quantum entanglement channel resources comparing with other shemes.
A scheme of teleportation of a N-particle entangled GHZ state through a two-paticle entangled quantum channel was proposed.Firstly,the maximally entangled states were taken as quantum channels, then the case of nonmaximally entangled channels was considered.It was found that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit,when the channels are nonmaxially entangled states,constructing an unitary transformation properly,teleportation of three-paticle entangled GHZ state cound be implemented with certain probability.Finally,the N-particle entangled GHZ state was discussed.Compared with other schemes,this scheme saves the quantum entanglement channel resources.
A scheme for probabilistic teleportation of an unknown three-atom entangled state via a five-atom non-maximally entangled cluster state as quantum channel is proposed. In this scheme, the sender performs two Bell state and a single-atom measurements on the atoms, the receiver can reconstruct the original state with a certain probability by introducing an auxiliary atom and operating appropriate unitary transformations and controlled-not (C-not) operations according to the sender Alice's measurement results. As a result, the probability of successful teleportation is determined by the smallest two of the coefficients' absolute values of the cluster state. The considerable advantage of our scheme is that we employ a non-maximally entangled cluster state as quantum channel in the scheme, which can greatly reduce the amount of entanglement resources and need less classical bits. If we employ a maximally entangled cluster state as quantum channel, the probabilistic teleportation scheme becomes usual teleportation, the successful probability being 100%.
In this paper, four non-maximal Bell states are used as quantum channel to complete the probabilistic teleportation of four-particle cluster states. In the process, four Bell measurements are performed by the sender. Then a local Pauli operation is executed by the receiver according to the sender’s measurement results. An auxiliary qubit is introduced and a special unitary transformation is implemented. Finally the probabilistic teleportation can be achieved by the receiver after measurement on the auxiliary qubit.
Abstract A scheme for teleporting an unknown three-particle GHZ state from a sender to either one of two receivers is proposed.In this scheme,the quantum channel is composed of two non-maximally three-particle entangled W states. An unknown three-particle GHZ state can be perfectly teleported probabilistically if the sender performs two generalized Bell-state measurements and the Hadamard operation while either one of two receivers introduces an ancillary particle which is one of the final three particle constituting the teleported state,then performs the controlled-not operation with the ancillary particle as the target bit and introduces an appropriate unitary transformation with the help of the other receiver's simple measurements.All kinds of unitary transformations are given in detail.The present scheme may be directly generalized to teleport an unknown multiparticle GHZ state via two three-particle entangled W states used as the quantum channel.