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Acta Sinica Quantum Optica

Probabilistic Teleportation of an Unknown Entangled State of Three Particles by a Entangled State of Four Particles

Gong Ren-shan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

We propose a scheme for probabilistically teleporting an unknown three-particle entangled state of three-level by using a four-particle entangled state of three-level as quantum channel. Firstly, the maximally entangled state is taken as quantum channel, then, the case of non-maximally entangled state is considered. We find that when the channel is non-maximally entangled state, by introducing an ancillary qubit and constructing an unitary transformation properly, the teleportation of three-particle entangled state can be accomplished with certain probability.

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We propose a scheme for probabilistically teleporting an unknown three-particle entangled state of three-level by using a four-particle entangled state of three-level as quantum channel. Firstly, the maximally entangled state is taken as quantum channel, then, the case of non-maximally entangled state is considered. We find that when the channel is non-maximally entangled state, by introducing an ancillary qubit and constructing an unitary transformation properly, the teleportation of three-particle entangled state can be accomplished with certain probability.
In this paper, two schemes for teleporting an unknown three-particle three-level entangled state are proposed. In the first scheme, two partial three-particle three-level entangled states are used as the quantum channels, while in the second scheme, three two-particle three-level non-maximally entangled states are employed as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both two schemes, if a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
We propose a scheme for teleportation of a three-particle entangled W state through two-particle entangled quantum channels. Firstly, the maximally entangled states are taken as quantum channels, then, the case of nonmaximally entangled channels is considered. We find that when the channels are nonmaximally entangled states, by introducing an ancillary qubit and constructing an unitary transformation properly, teleportation of three-particle entangled W state can be implemented with certain probability.
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.
In this paper, two schemes for teleporting an unknown four-particle entangled W state is proposed. In the first scheme, two partial entangled four-particle states are used as quantum channels, while in the second scheme, four non-maximally entangled particle pairs are considered as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both schemes, if a receiver adopts some appropriate unitary transformations. It is also shown that the successful probabilities of these two schemes are different.