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Journal of Huaiyin Teachers College

Controlled Assisted Cloning of An Unknown Three-atom Entangled State Via Cavity QED

Shi Jin

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

A scheme for controlled assisted cloning of an unknown three-atom entangled state is proposed.Firstly,controlled teleportation of an unknown threeatom entangled state can be realized by using two two-atom entangled states and a three-atom entangled state as the quantum channel.Secondly,Alice(the sender) can produce copies of an unknown three-atom entangled state with assistance of Victor(a state preparer).

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A scheme for controlled assisted cloning of an unknown three-atom entangled state is proposed.Firstly,controlled teleportation of an unknown threeatom entangled state can be realized by using two two-atom entangled states and a three-atom entangled state as the quantum channel.Secondly,Alice(the sender) can produce copies of an unknown three-atom entangled state with assistance of Victor(a state preparer).
A scheme to create a perfect copy of a three-qubit state with assistance from two preparers is proposed.During the course agreed in the scheme,the sender wish to teleport an unknown three-qubit entangled state which from two preparers to a remote receiver,and then create a perfect copy of the unknown state at her place.The scheme includes two stages.The first stage of the scheme requires usual teleportation.In the second stage,to help the sender realize the quantum cloning,two preparers perform three-qubit projective measurements on their own qubits which is from the sender,then the sender can acquire a perfect copy of the unknown state.The superiority of our protocol is that the rate of success about getting the copy can reach 1.
In this paper, we proposed a protocol which can produce a perfect copy of an unknown three-particle three-dimension equatorial entangled state with assistance from a state preparer. Two stages were included in this protocol. The first stage requires usual teleportation, after Alice's (the state sender) generalized Bell-state measurement. Bob (the state receiver) can get the original state with a certain probability. In the second stage, after having received Victor's (the state preparer) classical message, and using the rest resource of the teleportation process, the perfect copy of an original unknown state can be produced in Alice's place. Furthermore, we have also investigated that the quantum channel is a non-maximally entangled state case. Alice also can re-establish the original unknown state in the certain probability.
A protocol for probabilistic cloning of a class of three-qubit Greenberger-Horne-Zeilinger (GHZ) state and its orthogonal complement state by using three maximally two-qubit entangled states as the quantum channel is proposed.In this protocol,Bob(the state receiver) can receive the unknown state via usual teleportation process.With the assistance of Victor(the state preparer), Alice(the state sender) can produce the perfect copies and complement copies of an unknown state. A protocol for the teleportation is given by using non-maximally entangled states as quantum channel,and the clones and complement clones of unknown state also can be obtained by Alice with assistance offered by the state preparer.
In this paper, we propose a scheme that one can realize quantum cloning of an unknown multi-qudit state with assistance offered by a state preparer. Our scheme includes two parties: teleportation and assisted cloning. In order to complete the purpose, one multi-qudit state teleportation at the cloner's site via k entangled pairs as the quantum channel. After the teleportation, the state preparer Victor performs one unitary transformation and one multi-qudit measurement and informs Alice of his outcome to copy the original state. Compared with existing ones in the literature, our scheme generalize assisted cloning scheme to the case of arbitrary multi-qudit state, in the meantime, we also ensure high security of our scheme.
Utilizing Hadamard gates and controlled not gates, maximally entangled states of four, five and six qubits are generated. Then, we propose respectively controlled and assisted cloning schemes of unknown two-, three- and four-qubit states via these constructed states as quantum channels. Each of the three schemes includes two stages: controlled teleportation and assisted cloning. The controlled teleportation stage of our schemes all require a single-qubit [Formula: see text]-basis measurement by controller, and need different GHZ-state measurements by senders of three schemes to complete the transmission process of their respective quantum states. In the assisted cloning stage of our schemes, after the state preparers of three schemes perform respectively appropriate GHZ-state measurements, at the senders’ locations, perfect replicas and orthogonal complementary copies of unknown states will be produced through appropriate local quantum operations. Compared with usual assisted cloning schemes, every suggested plan is extremely efficient in terms of quantum resources, as it only requires a small number of GHZ-state measurements, significantly decreasing the need for quantum operations and classical resources. Through discussion, we conclude that our schemes are safe and can be extended to assisted cloning of unknown multi-qubit GHZ-state with multiple controllers.