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Journal of Yanbian University

Quantum Information Splitting of a Four-particle Cluster State

Mingsheng Ying

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

A scheme is presented for quantum information splitting of an unknown four-particle cluster state by using two non-maximally four-particle entangled states as the quantum channel.In this scheme,the sender generates the initial state and the quantum channel,and sends some of the particles to the controller and the receiver.The receiver can reconstruct a four-particle cluster state by performing appropriate unitary transformations on his qubits after the sender and controller perform the Bell-State measurements on their qubits,respectively.

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Journal of Yanbian University•Jan 1, 2010•0 citations
A scheme is presented for quantum information splitting of an unknown four-particle cluster state by using two non-maximally four-particle entangled states as the quantum channel.In this scheme,the sender generates the initial state and the quantum channel,and sends some of the particles to the controller and the receiver.The receiver can reconstruct a four-particle cluster state by performing appropriate unitary transformations on his qubits after the sender and controller perform the Bell-State measurements on their qubits,respectively.
A scheme is presented for quantum information splitting of an unknown two-particle entangled state by using five-particle cluster state as the quantum channel.The sender(Alice),the receiver(Bob) and the controller(Charlie) share the quantum channel.The sender Alice sends the quantum information to the receiver Bob,anyone can not obtain the quantum information,unless they cooperate with each other.The receiver can reconstruct two-particle entangled state by performing appropriate unitary transformations on his qubits after the sender and controller perform the appropriate measurements on their qubits.respectively.
A new application of cluster states is investigated for quantum information splitting (QIS) of an arbitrary three-qubit state. In our scheme, a four-qubit cluster state and a Bell state are shared by a sender (Alice), a controller (Charlie), and a receiver (Bob). Both the sender and controller only need to perform Bell-state measurements (BSMs), the receiver can reconstruct the arbitrary three-qubit state by performing some appropriately unitary transformations on his qubits after he knows the measured results of both the sender and the controller. This QIS scheme is deterministic.
We propose two schemes for splitting single- and two-qubit states by using four-particle genuine entangled state as the quantum channel. After the sender performs Bell-basis (or three-partite GHZ- basis) measurements on her particles, and the cooperators operate single-particle measurements on their particles, the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation. In particular, in the scheme for splitting two-qubit state, the receiver needs to introduce an auxiliary particle and carries out a C-NOT operation.
Quantum information splitting(QIS) or quantum state sharing is the generalization of classical secret sharing schemes to the quantum scenario.In QIS,a piece of quantum information(in the form of a quantum state) is divided and distributed to a number of receivers.A scheme of splitting two-qubit states was proposed by using six-particle maximally entangled state as the quantum channel.Alice first performs two Bell-basis measurement and announces her measurement outcome and assigns Charlie(Bob) to reconstruct the original unknown state.If the controllers Bob(Charlie) agree to help Charlie(Bob) obtain the original state,they should perform single-particle measurements on their respective qubits.After the sender performs Bell-basis measurements on her particles,and the cooperators operate single-particle measurements on their particles,the state receiver can reconstruct the original state of the sender by applying the appropriate unitary operation.