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DEStech Transactions on Computer Science and Engineering

Probabilistic Quantum Teleportation of Four-particle Cluster State

Jiamin Zhang, ZHI-HUA ZHANG, Na Wang

Published Aug 6, 2018• 0 citations
Publisher

Abstract

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.

DOI
10.12783/dtcse/ceic2018/24558

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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.
A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.
A scheme for teleporting an unknown two two-level atoms entangled state via four identical two-level atoms non-maximally entangled Cluster state as quantum channel is proposed.In the scheme,the receiver Bob can reconstruct the original state with a certain probability by introducing an auxiliary atom and operating unitary transformations 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.The considerable advantage of the scheme is that a non-maximally entangled Cluster state is employed as quantum channel,thus,the scheme can greatly reduce the amount of entanglement resources and need less classical bits.If a maximally entangled Cluster state is employed as quantum channel,the probabilistic teleportation scheme becomes usual teleportation,of which the successful probability is 100%.
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.
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%.