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Journal of Hunan University of Science and Engineering

A controlled probabilistic teleportation when only the sender knows partial entangled channel

Xia Li

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Using the generalization measurement operators, we present a scheme to realize the controlled probabilistic teleportation when only the sender Alice knows all of the information for the partial entangled GHZ state as a quantum channel.

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We present a scheme for teleporting an unknown arbitrary two-particle state from a sender to either one of two receivers. The quantum channel is composed of two partial entangled three-particle GHZ states. An unknown arbitrary two-particle state can be perfectly teleported probabilistically if the sender performs two generalized Bell-state measurements and each receiver introduces an appropriate unitary transformation with the help of the other receiver's Hadamard operations and simple measurements.
Two novel schemes are proposed to teleport an unknown two-level quantum state probabilistically when the sender and the receiver only have partial information about the quantum channel, respectively. This is distinct from the fact that either the sender or the receiver has entire information about the quantum channel in previous schemes for probabilistic teleportation. Theoretical analysis proves that these schemes are straightforward, efficient and cost-saving. The concrete realization procedures of our schemes are presented in detail, and the result shows that our proposals could extend the application range of probabilistic teleportation.
In this paper, a new proposal was presented to probabilistically transmit an unknown quantum state from a sender to a remote receiver with the aid of a controller when the non-maximally entangled state is only available for the sender. Meanwhile, the whole successful probability and classical communication of this scheme for controlled teleportation are calculated. The concrete processes of our proposal are elaborated in detail. This scheme would be used to expand the research range of quantum controlled teleportation.