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Journal of Huaiyin Teachers College

Probabilistic Teleportation of A Tripartite W State

Shi Jin

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

In this paper,a protocol which can realize probabilistic quantum teleportation of an unknown classical tripartite W entangled state is proposed.Controlled probabilistic quantum teleportation of an unknown generic tripartite W entangled state with a non-maximal tripartite GHZ entangled state and a pair of non-maximal EPR entangled particles as the quantum channels can be realized too.The teleportation associates with the generalized Bell-basis measurement and the C-Not operate,respectively.After the base vector transformation,an auxiliary qubit which the initial state is in the zero state and the corresponding unitary transformation are included in this protocol.

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理论物理通讯：英文版•Jan 1, 2006•0 citations
In this paper,a protocol which can realize probabilistic quantum teleportation of an unknown classical tripartite W entangled state is proposed.Controlled probabilistic quantum teleportation of an unknown generic tripartite W entangled state with a non-maximal tripartite GHZ entangled state and a pair of non-maximal EPR entangled particles as the quantum channels can be realized too.The teleportation associates with the generalized Bell-basis measurement and the C-Not operate,respectively.After the base vector transformation,an auxiliary qubit which the initial state is in the zero state and the corresponding unitary transformation are included in this protocol.
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 protocol for controlled probabilistic teleportation of an unknown tripartite qutrit entangled state with two partial tripartite qutrit entangled states as the quantum channel. It is found that teleportation associated with the generalized qutrit Bell-basis measurement, the generalized qutrit π-state measurement and the generalized Hadamard operator in three-dimensional Hilbert space. We generalize the protocol for controlled probabilistic teleportation of an unknown k-particle qudit entangled state with a multi-particle qudit entangled state and a tripartite qudit entangled state as the quantum channel. We also calculate the classical communication cost required in both cases.
We present a scheme to probabilistically teleport an arbitrary and unknown two-particle state via a nonmaximally entangled EPR pair and a non-maximally entangled GHZ state as the quantum channel. With the help of Bell-state measurements and Hadamard measurement, an arbitrary two-particle state can be perfectly teleported if a receiver introduces a collective unitary transformation. The unitary transformation is given uniquely. Also, we present a quantum circuit for realizing the teleportation successfully.
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.
We present a scheme for probabilistic teleportation via a non-maximally entangled GHZ state. Quantum teleportation will succeed with a certain probability if the sender makes a generalized Bell state measurement, the cooperator performs a generalized XXX basis measurement, and the receiver introduces an auxiliary particle, performs a collective unitary transformation and makes a measurement on the auxiliary particle. The success probability of the teleportation is given. We also obtain the maximum of the success probability of the teleportation.
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.