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理论物理通讯：英文版

Probabilistic Teleportation of One-Particle State of S-level

YANFeng-Li, Feng Li, Bai, Yan-Kui

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

A scheme for probabilistically teleporting an unknown one-particle state of S-level by a group of pairs of partially entangled 2-level particle state is proposed. In this scheme unitary transformation and local measurement take the place of Bell state measurement, then proper unitary transformation and the measurement on an auxiliary qubit with the aid of classical communication are performed. In this way the unknown one-particle state of S-level can be transferred onto a group of remote 2-level particles with certain probability. Furthermore, the receiver can recover the initial signal state on an S-level particle at his hand.

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A scheme for probabilistically teleporting an unknown one-particle state of S-level by a group of pairs of partially entangled 2-level particle state is proposed. In this scheme unitary transformation and local measurement take the place of Bell state measurement, then proper unitary transformation and the measurement on an auxiliary qubit with the aid of classical communication are performed. In this way the unknown one-particle state of S-level can be transferred onto a group of remote 2-level particles with certain probability. Furthermore, the receiver can recover the initial signal state on an S-level particle at his hand.
A scheme for probabilistically teleporting an unknown one-particle state of S -level by a group of pairs of partially entangled 2-level particle state is proposed. In this scheme unitary transformation and local measurement take the place of Bell state measurement, then proper unitary transformation and the measurement on an auxiliary qubit with the aid of classical communication are performed. In this way the unknown one-particle state of S -level can be transferred onto a group of remote 2-level particles with certain probability. Furthermore, the receiver can recover the initial signal state on an S -level particle at his hand.
A scheme for probabilistic teleporting unknown quantum pure state of two 2-level particles state of general formation by partly pure entangled four-particle states is proposed. Unitary transformation and local measurement take the place of Bell operator measurement, then proper unitary transformation and the measurement on an auxiliary qubit with the aid of classical communication are performed. In this way the unknown quantum state of two-particle state of general formation can be reconstructed at another place with certain probability.
A scheme for probabilistic teleporting unknown quantum pure state of three 2-level particle state of general formation by partly pure entangled six-particle states is proposed.Unitary transformation and local measurement take the place of Bell operator measurement,then proper unitary transformation and the measurement on an auxiliary qubit with the aid of classical communication are performed.In this way the unknown quantum state of two-particle state of general formation can be reconstructed at another place with certain probability.
A new representation of an arbitrary and unknown N -particle state is presented at first. As an application, a scheme for teleporting an arbitrary and unknown N -particle state is proposed when N pairs of two-particle non-maximally entangled states are utilized as quantum channels. After Alice (sender) makes Bell-state measurement on her particles, Bob (recipient) introduces an auxiliary particle and carries out appropriate unitary transformation on his particle and the auxiliary particle depending on classical information from Alice. Then, von Neumann measurement that confirms whether the teleportation succeeds or not is performed by Bob on the auxiliary particle. In order to complete the teleportation, another N -1 times operations need to be performed which are similar to the above ones. It can be successfully realized with a certain probability which is determined by the product of the smaller coefficients of non-maximally entangled pairs. All possible unitary transformations are given in detail.