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Journal of Xinxiang University

Realization of Two-bit Quantum-state Sharing Protocol with Four-particle Cluster State via Cavity QED

Ximing Fang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

We propose a protocol for realizing two-bit quantum-state sharing with 4-qubit cluster state through cavity QED,because we only need the direct product measurement to particles and avoid the joint Bell measurement of particles,so that the process of measurement become direct,convenience and easy to be detected.Authorizer can resume quantum states of transmission through a simple local operation on the particles.

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Journal of Xinxiang University•Jan 1, 2008•0 citations
We propose a protocol for realizing two-bit quantum-state sharing with 4-qubit cluster state through cavity QED,because we only need the direct product measurement to particles and avoid the joint Bell measurement of particles,so that the process of measurement become direct,convenience and easy to be detected.Authorizer can resume quantum states of transmission through a simple local operation on the particles.
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.
A scheme of using four-qubit cluster state as quantum channel(QC)to convey the quantum state information is proposed to realize two-way communication.In this scenario,two sides of communication,Alice and Bob,share a four-qubit cluster state.In the process of communication,at first,four-qubit cluster state form a whole system with quantum state information two sides have.Then,Alice and Bob perform Bell-state joint measurements to their own part qubits respectively,and tell the measured results to each other via classical channel(CC).Finally,according to the measured results,Alice and Bob make corresponding unitary transformations,hence its own party can reappear the opposite quantum state information.So two-way communication of quantum state information is achieced.
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.
We present a novel protocol for deterministic secure quantum communication by using the four-qubit cluster state as quantum channel. It is shown that two legitimate users can directly transmit the secret messages based on Bell-basis measurements and classical communication. The present protocol makes use of the ideas of block transmission and decoy particle checking technique. It has a high capacity as each cluster state can carry two bits of information, and has a high intrinsic efficiency because almost all the instances except the decoy checking particles (its number is negligible) are useful. Furthermore, this protocol is feasible with present-day technique.