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Chinese Journal of Quantum Electronics

Scheme of three quantum bit secret sharing based on GHZ state

Liu Yue-qi

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

With a five-particle entanglement GHZ state as the quantum channel, a quantum secret sharing scheme is proposed, which put through the three-particle teleportation in order to realize the three-quantum secret sharing. The safety of the scheme is analyzed. The scheme makes full use of five particles' relationship of the GHZ-state. It is found that a Bell-basis measurement, three single particle measurement and corresponding unitary transformation are required. Compared with the pertinent literature, it enhances the quantum transmission without increasing the number of particles, and forms a theoretical basis for transmitting more quanta in quantum secret sharing.

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Chinese Journal of Quantum Electronics•Jan 1, 2012•0 citations
With a five-particle entanglement GHZ state as the quantum channel, a quantum secret sharing scheme is proposed, which put through the three-particle teleportation in order to realize the three-quantum secret sharing. The safety of the scheme is analyzed. The scheme makes full use of five particles' relationship of the GHZ-state. It is found that a Bell-basis measurement, three single particle measurement and corresponding unitary transformation are required. Compared with the pertinent literature, it enhances the quantum transmission without increasing the number of particles, and forms a theoretical basis for transmitting more quanta in quantum secret sharing.
An unknown quantum state secret sharing scheme using three-particle entangled state is proposed,in this scheme,the sender and agency share three-particle entangled state as quantum channels,the sender makes the unknown quantum state entangled with three-particle entangled state,and performs Bell measurement on the unknown quantum state and her own particle,then two agencies carry out von Neumann measurement and appropriate unitary operation on system respectively,after cooperation one of the agencies can obtain the secret message.the scheme provides a idea for the quantum state secret sharing,its security is based on the quantum non-cloning principle and it has the characteristics of resistance to eavesdropping and is easy to realize.
A scheme of teleportation of a three-particle entangled GHZ state through a two-paticle entangled quantum channels is proposed. the two-particle nonmaximally entangled state is taken as quantum channels, We find that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit, constructing an unitary transformation properly, teleportation of three-paticle entangled GHZ state can be implemented with certain probability. This scheme saves the quantum entanglement channel resources comparing with other shemes.
In this scheme, N non-maximally entangled particle pairs are used as quantum channel to teleport an unknown N -particle entangled GHZ state via entanglement swapping. In order to realize this teleportation, the sender Alice operates Bell-state measurement on particles belonging to herself. Then she informs the results to the receiver Bob through classical communication. According to the results, Bob operates corresponding transformation to reconstruct the initial state. The advantage of this scheme is that it needs only one common unitary matrix for Alice's different results, which has a more general meaning. As a special case, teleporting an unknown three-particle entangled GHZ state is proposed.
A scheme of teleportation of a N-particle entangled GHZ state through a two-paticle entangled quantum channel was proposed.Firstly,the maximally entangled states were taken as quantum channels, then the case of nonmaximally entangled channels was considered.It was found that by implementing H transformation and von Neumann measurement,introducing an ancilly qubit,when the channels are nonmaxially entangled states,constructing an unitary transformation properly,teleportation of three-paticle entangled GHZ state cound be implemented with certain probability.Finally,the N-particle entangled GHZ state was discussed.Compared with other schemes,this scheme saves the quantum entanglement channel resources.