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Acta Sinica Quantum Optica

Joint Assisted Cloning of Unknown Three-qubit Entangled States

Xia Jia-fa

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

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.

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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.
Abstract We present two schemes for perfectly cloning an unknown single-qutrit equatorial state with assistance from two and N state preparers, respectively. In the first scheme, the sender wishes to teleport an unknown single-qutrit equatorial state from two state preparers to a remote receiver, and then to create a perfect copy of the unknown state at her location. The scheme consists of two stages. The first stage of the scheme requires the usual teleportation. In the second stage, to help the sender realize the quantum cloning, two state preparers perform single-qutrit projective measurements on their own qutrits from the sender, then the sender can acquire a perfect copy of the unknown state. It is shown that, only if the two state preparers collaborate with each other, the sender can create a copy of the unknown state by means of some appropriate unitary operations. In the second scheme, we generalized the jointly assisted cloning in the first scheme to the case of N state prepares. In the present schemes, the total probability of success for assisted cloning of a perfect copy of the unknown state 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.
In this paper, we present a scheme which can realize quantum cloning of an unknown N-particle entangled state and its orthogonal complement state with assistance offered by a state preparer. The first stage of the scheme requires usual teleportation via N non-maximally entangled particle pairs as quantum channel. In the second stage of the scheme, with the assistance (through a N-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown N-particle entangled state can be obtained.
We propose a protocol where one can realize quantum cloning of an unknown two-particle entangled state and its orthogonal complement state with assistance offered by a state preparer. The first stage of the protocol requires usual teleportation using a (or two) four-particle entangled state(s) as quantum channel(s). In the second stage of the protocol, with the assistance (through a two-particle projective measurement) of the preparer, the perfect copies and complement copies of an unknown state can be produced.
We first propose a novel protocol to realize quantum cloning of an arbitrary unknown shared state with assistance offered by a state preparer. The initial phase of this protocol involves the utilization of quantum teleportation (QT), enabling the transfer of quantum information from an arbitrary number of senders to another arbitrary number of receivers through a maximally entangled GHZ-type state serving as a network channel, without centralizing the information at any specific location. In the second stage of this protocol, the state preparer performs a special single-qubit projective measurement and multiple Z-basis measurements and then communicates a number of classical bits corresponding to measurement results, the perfect copy or orthogonal-complementing copy of an unknown shared state can be produced at senders hands. Then, using a non-maximally entangled GHZ-type state instead of the aforementioned quantum channel, we extend the proposed protocol from three perspectives: projective measurement, positive operator-value measurement (POVM), and a single generalized Bell-state measurement. Our schemes can relay quantum information over a network without requiring fully trusted central or intermediate nodes, and none of participants can fully access the information.