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Acta Physica Sinica

High-efficient quantum state sharing via non-maximally five-qubit cluster state

孙新梅 SUN Xin-mei, Zha Xin-wei, 祁建霞 QI Jian-xia, Lan Qian

Published Jan 1, 2013• 6 citations
Publisher

Abstract

In this paper we present a new scheme for quantum state sharing of an arbitrary unknown two-qubit state by using a non-maximally five-qubit cluster state as quantum channel. In this scheme, the non-maximally five-qubit cluster state is shared by a sender (Alice), a controller (Charlie), and a receiver (Bob), who does not need to introduce an auxiliary particle but only operates an appropriate unitary transformation. The sender introduces an auxiliary particle and makes orthogonal complete bases measurement, and the controller makes a single-particle projective measurement on his particle, then the quantum state sharing can be probabilistically realized.

DOI
10.7498/aps.62.230302

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In this paper we present a new scheme for quantum state sharing of an arbitrary unknown two-qubit state by using a non-maximally five-qubit cluster state as quantum channel. In this scheme, the non-maximally five-qubit cluster state is shared by a sender (Alice), a controller (Charlie), and a receiver (Bob), who does not need to introduce an auxiliary particle but only operates an appropriate unitary transformation. The sender introduces an auxiliary particle and makes orthogonal complete bases measurement, and the controller makes a single-particle projective measurement on his particle, then the quantum state sharing can be probabilistically realized.
In this paper, we propose a controlled quantum state sharing scheme to share an arbitrary two-qubit state using a five-qubit cluster state and the Bell state measurement. In this scheme, the five-qubit cluster state is shared by a sender (Alice), a controller (Charlie), and a receiver (Bob), and the sender only needs to perform the Bell-state measurements on her particles during the quantum state sharing process, the controller performs a single-qubit projective measurement on his particles, then the receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his particles after he has known the measured results of the sender and the controller.
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 the five-qubit cluster state is investigated for economic and simple controlled teleportation of an arbitrary two-qubit state.In this scheme,a five-qubit cluster state is shared by a sender(Alice),a controller(Charlie)and a receiver(Bob),and the sender only needs to perform Bell-state measurements and the controller performs a single-qubit projective measurement.The receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knows the measured results of both the sender and the controller.This controlled teleportation scheme is deterministic,and the probability of successful controlled teleportation is 100%.In comparison with the controlled teleportation scheme using the same quantum channel,the proposed scheme do not need to make multi-particle joint measurement that makes this scheme simpler.
Based on the strong persistency of entanglement of cluster state,two quantum sharing schemes were presented to realize the controlled teleportation of an arbitrarily one-particle using a four-particle cluster state as the quantum channel.In the first scheme,the sender Alice,controller Charlie and receiver Bob share a four-particle cluster entangled state.Firstly Alice performs a three-particle joint VonNeumann measurement on her qubits.Then Charlie performs a quantum measurement on his qubit with Z basis.Finally Bob can reconstruct the shared single particle by doing unitary transformation according to the measured results from Charlie and Bob.In the second scheme,three parties also shared a four-particle cluster state and an auxiliary particle,Alice and Charlie only need Bell state measurements and Bob can get the transmitted state by performing a swap bit flip operation and one unitary transformation.Compared with the existing schemes,the success probability of these both schemes are 100% and the proposed schemes only need 4-particle cluster state as the quantum channel.Furthermore,the proposed schemes can be implemented under the current laboratory techniques.
Two schemes for teleporting an unknown two-particle entangled state via a four-qubit non-maximally entangled cluster state as quantum channel are proposed.In the first scheme,a special bipartite entangled state was teleported,the receiver Bob can reconstruct the original state with a certain probability according to the sender Alice's measurement results,and the successful probability is determined by the smallest two coefficients' absolute values of the cluster state.In the latter scheme an arbitrary two-particle entangled state was teleported.Contrast to the first scheme, Bob should perform a quantum controlled phase gate operation besides the unitary transformation. The considerable advantage is that it employs a non-maximally entangled cluster state as quantum channel in these two schemes.Thus,the schemes can greatly reduce the amount of entanglement resources and need less classical bits.
We present a new scheme for investigating the usefulness of non-maximally entangled states for multi-party quantum state sharing in a simple and elegant manner. In our scheme, the sender, Alice shares n various probabilistic channels composed of non-maximally entangled states with n agents in a network. Our protocol involves only Bell-basis measurements, single qubit measurements, and a two-qubit unitary transformation operated by free optional agents. Our scheme is a more convenient realization because no other multipartite joint measurements are needed. Furthermore, in our scheme various probabilistic channels lessen the requirement for quantum channels, which makes it more practical for physical implementation.