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Probabilistic Teleportation of a Four-particle Entangled W State

Yan Feng-Li

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

A scheme for probabilistic teleportation of a four-particle entangled W state is given.Two partially entangled two-particle states are used as the quantum channel.A four-particle entangled W state can be perfectly teleported probabilistically from the sender to the receiver if the sender performs three unitary transformations and two Bell-state measurements while the receiver introduces auxiliary particles and performing appropriate unitary transformations.

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A scheme for probabilistic teleportation of a four-particle entangled W state is given.Two partially entangled two-particle states are used as the quantum channel.A four-particle entangled W state can be perfectly teleported probabilistically from the sender to the receiver if the sender performs three unitary transformations and two Bell-state measurements while the receiver introduces auxiliary particles and performing appropriate unitary transformations.
Four partially entangled two-particle states are used as the quantum channel.Two schemes for probabilistic teleportation of an arbitrary four-particle entangled state are presented.The entangled state can be perfectly teleported probabilistically from the sender to the receiver if the sender performs four Bell-state measurements while the receiver introduces auxiliary particles and performing appropriate unitary transformations.Based on transformation operator,the theoretical explanation of two schemes is given by utilizing the relation of the transformation operators.
We present a scheme for teleporting an arbitrary and unknown two-particle state from a sender to either one of two receivers. The quantum channel is composed of two non-maximally three-particle entangled W states. An arbitrary two-particle state can be perfectly teleported probabilistically if both the sender performs two generalized Bell-state measurements and either one of two receivers adopts an appropriate unitary transformation, conditioned on the suitable measurement outcomes of the other receiver and classical information.
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 arbitrary and unknown three-particle state from a sender to either one of two receivers is proposed. The quantum channel is composed of a two-particle non-maximally entangled state and two three-particle non-maximally entangled W states. An arbitrary three-particle state can be perfectly teleported probabilistically if the sender performs three generalized Bell-state measurements and sends to the two receivers the classical result of these measurements and either one of the two receivers adopts an appropriate unitary transformation conditioned on the suitable measurement outcomes of the other receiver. All kinds of unitary transformations are given in detail.
We present a scheme to teleport an unknown three-particle entangled state from a sender to either one of two receivers. The partial three-particle entangled state and the three-particle entangled W state are considered as the quantum channels. An unknown three-particle entangled state can be perfectly teleported probabilistically by performing two generalized Bell measurements and the Hadamard operation at the sender's side and introducing an appropriate unitary transformation in each receiver's laboratory conditioned on the simple measurement outcome of the other. All kinds of unitary transformations are given in details. This scheme can be directly generalized to teleport an unknown three-particle entangled state from a sender to any one of N receivers by the partial three-particle entangled state and the ( N + 1)-particle entangled W state.
We present a scheme to probabilistically teleport an arbitrary and unknown three-particle state via a two-particle non-maximally entangled state and a four-particle non-maximally entangled state as the quantum channel. With the help of Bell-state measurements, an arbitrary three-particle state can be perfectly teleported if a receiver introduces a collective unitary transformation. All kinds of unitary transformations are given in greater detail. This scheme can be generalized to the teleportation of an arbitrary and unknown multiparticle state.