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Acta Sinica Quantum Optica

Quantum Teleportation of Two-particle Entangled State(EPR PAIR)

Feng Jin-fu

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

A scheme of a two-particle entangled state via entanglement swapping is proposed.By using a three-particle entangled state as a quantum channel,a GHZ state is defined,which can be used by Alice for joint measurement.When Bob performs a corresponding unitary transformation,quantum teleportation of a two-particle entangled state can be successfully realized.

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A scheme of a two-particle entangled state via entanglement swapping is proposed.By using a three-particle entangled state as a quantum channel,a GHZ state is defined,which can be used by Alice for joint measurement.When Bob performs a corresponding unitary transformation,quantum teleportation of a two-particle entangled state can be successfully realized.
In this scheme, N non-maximally entangled particle pairs are used as quantum channel to teleport an unknown N -particle entangled GHZ state via entanglement swapping. In order to realize this teleportation, the sender Alice operates Bell-state measurement on particles belonging to herself. Then she informs the results to the receiver Bob through classical communication. According to the results, Bob operates corresponding transformation to reconstruct the initial state. The advantage of this scheme is that it needs only one common unitary matrix for Alice's different results, which has a more general meaning. As a special case, teleporting an unknown three-particle entangled GHZ state is proposed.
Two simple schemes for probabilistic teleportation of an arbitrary unknown two-particle state using a non-maximally entangled EPR pair and a non-maximally entangled GHZ state as quantum channels are proposed. After receiving Alice's Bell state measurement results, Bob performs a collective unitary transformation on his inherent particles without introducing the auxiliary qubit. The original state can be probabilistically teleported. Meanwhile, quantum circuits for realization of successful teleportation are also presented.
We propose a scheme for the teleportation of an unknown two-particle entangled EPR state without the Bell-state measurement.Alice needs to teleport an unknown two-particle EPR state to Bob.Her atoms and Bob's are prepared in the maximal entangled GHZ state,which forms the quantum channel.She sends two atoms through a single-mode cavity field,and drives them by a strong classical field at the same time.Throngh the interaction between the atoms and the cavity,the states of these atoms are evolved.After the interaction,Alice realizes the teleportation successfully.In the scheme,the effects of thermal field and cavity decay are all eliminated.The success probability is 1.0,and the fidelity is 1.0 too.
In this scheme, N pairs of non-maximally entangled particle are used as quantum channel to teleport an unknown N-particle entangled W state via entanglement swapping, which has more generality. In order to realize this teleportation, the sender Alice performs Bell-measurements on particles belonging to her. Then the sender sends the results to the receiver Bob through the classical channel. According to the results, Bob performs a corresponding unitary on particles to reconstruct the original state. And then, teleporting an unknown three-particle entangled W state is presented.
A scheme of two-way teleportation was proposed,with GHZ quadripartite entangled state as quantum channel.Two sides of communication(Alice and Bob) shared two pairs of GHZ quadripartite entangled state in advance.After communication,Alice and Bob performed quantum projection measurement on their own qubits respectively,and announced the measured results via classical channel.Then according to the measured results presented by the other party,Alice and Bob can make appropriate unitary transformations that its own party can reconstruct the opposite quantum state information,and thus the whole two-way teleportation was realized.As long as the both sides of communication chose the suitable GHZ entangled state as quantum channel and distributed the entangled partites imparity and properly in advance,two-way teleporting including unknown general one qubit and two qubits entangled Bell state or three qubits entangled GHZ state could be realized respectively.
Quantum mechanics shows superiority than classical mechanics in many aspects and quantum entanglement plays an essential role in information processing and some computational tasks such as quantum teleportation (QT). QT was proposed to transmit the unknown states, in which EPR pairs, the entangled states, can be used as quantum channels. In this paper, we present two simple schemes for teleporting a product state of two arbitrary single-particle and an arbitrary two-particle pure entangled state respectively. Alice and Bob have shared an entangle state. Two Bell states are used as quantum channels. Then after Alice measuring her qubits and informing Bob her measurement results, Bob can perfectly reconstruct the original state by performing corresponding unitary operators on his qubits. It shown that a product state of two arbitrary single-particle and an arbitrary two-particle pure entangled state can be teleported perfectly, i.e. the success probabilities of our schemes are both 1.