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Chinese Physics Letters

A Proposal of Teleportation for Three-Particle Entangled State

Chui‐Ping Yang, Guang‐Can Guo

Published Sep 1, 1999• 48 citations
Publisher

Abstract

We propose a scheme for teleporting a three-particle entangled Greenberger-Horne-Zeilinger state to three distant users. The scheme operates essentially through the sharing of Einstein-Podolsky-Rosen pairs followed by only local measurements and unitary operations. It can be regarded as a method for generating the entanglement of particles distributed in a communication network.

DOI
10.1088/0256-307x/16/9/002

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We propose a scheme for teleporting a three-particle entangled Greenberger-Horne-Zeilinger state to three distant users. The scheme operates essentially through the sharing of Einstein-Podolsky-Rosen pairs followed by only local measurements and unitary operations. It can be regarded as a method for generating the entanglement of particles distributed in a communication network.
There is much interest in the multiparty quantum communications where quantum teleportation using high dimensional entangled quantum channel is one of the promising tools. In this paper, we propose a more general scheme for M-party controlled teleportation of an arbitrary N-particle quantum state using N-1 identical Einstein-Podolsky-Rosen pairs and one (M+2)-particle Greenberger-Horne-Zeilinger state together as quantum channel. Based on which a 2-party controlled teleportation of an arbitrary 3-particle state is tested with our scheme as an example.
A scheme of M -party controlled teleportation for one N -qubit entangled W state via ( N -1) Einstein–Podolsky–Rosen (EPR) pairs and one ( M +2)-qubit Greenberger–Horne–Zeilinger (GHZ) state is proposed. We achieve the teleportation in such a way that M agents can execute the Hadamard transformation, perform the measurement on their qubits and inform the receiver of their measurements. Then we discuss that the receiver cannot fully recover the state from the sender if one agent does not co-operate with him.
A scheme to teleport an unknown two qubit state from Alice (the sender) to Bob (the receiver) using two Einstein Podolsky Rosen (EPR) pairs is presented, each EPR pair being shared by both Alice and Bob. Firstly, Alice combines each of the two particles in the teleported state with an EPR particle and makes Bell state measurement on each combination. Then she transmits the outcomes of her measurements to Bob classically. According to Alice′s measurement results, Bob can perform appropriate unitary operations on his two EPR particles to retrieve the initial state.
The teleportation of a two-particle entangled state, using a Greenberger-Horne-Zeilinger triplet, for continuous variables is studied. The basis for joint three-particle measurements is found, where the vectors describe the states in which only two of three particles are entangled. It represents the measurement of the momentum of one particle and the difference of coordinates and the sum of momenta of the two other particles. An optical realization of this scheme is presented, which uses squeezed states of light and reduces the measurement of momentum and coordinate to the detection of quadrature operators of the electromagnetic field.
We propose a theoretical scheme for teleportation of four-particle cluster state using a three-particle Greenberger Horne Zeilinger(GHZ) states and two Einstein Podolsky Rosen(EPR) states as a quantum channel.Alice processes the particles using 3 Bell-basis measurements and a projection measurement.The entangled relation of the 4 particles is established on the Bob side.According to the measurements resalts,Bob processes these 4 particles using corresponding local unitary transformation,and the cluster state on the Alice side is completely recovered on the Bob side.Finally,teleportation of arbitrary four-particle cluster state is achieved.