Abstract
In wireless quantum networks, nodes communicate by means of pre-distribution for entangled pairs and relay path establishment for quantum teleportation. However, simple point-to-point communication seriously restricts the efficiency of quantum communication. Inspired by sharing idea of quantum secret sharing (QSS), which is based on three collaborative nodes with pre-shared GHZ (Greenberger-Horne-Zeilinger) states, we propose a quantum secret broadcast scheme to improve network performance. In a cluster net-work cored on three parties of QSS, three cluster heads with pre-shared GHZ states are senders, while cluster members are receivers. One cluster head encodes secret messages on auxiliary particles by performing certain operations on them with GHZ particles, then three cluster heads measure their own par-ticles and broadcast measurement results honestly. Based on the specific correlation of measurement results and secret messages, all receivers can re-cover the secret messages. Furthermore, to prevent eavesdropping, cluster heads can update an encoding key periodically. Analysis shows the proposed scheme is more efficient than previous schemes in wireless quantum net-works, especially when the number of receivers is larger. Besides, in the proposed scheme, attacks on quantum channel based on GHZ state can be detected, and eavesdroppers cannot recover messages correctly for lack of suitable decoding key.
Highlights
Since the first quantum key distribution (QKD) protocol BB84 [1] was proposed, quantum communication has attracted much attention in the filed of information security
Inspired by sharing idea of quantum secret sharing (QSS), which is based on three collaborative nodes with pre-shared GHZ (Greenberger-Horne-Zeilinger) states, we propose a quantum secret broadcast scheme to improve network performance
Inspired by the feature of QSS that more than one party can receive secret message each time, we introduce the idea of QSS into a wireless quantum network, and propose a quantum secret broadcast scheme to solve the troubling efficiency problem
Summary
Since the first quantum key distribution (QKD) protocol BB84 [1] was proposed, quantum communication has attracted much attention in the filed of information security. In a typical three-party QSS scheme [8], a sender, Alice, splits a secret message into two shares and distributes the shares to two receivers, Bob and Charlie, so that none of them can recover the secret from their own shares. Inspired by the feature of QSS that more than one party can receive secret message each time, we introduce the idea of QSS into a wireless quantum network, and propose a quantum secret broadcast scheme to solve the troubling efficiency problem. In a cluster network cored on three parties of QSS, three cluster heads, Alice, Bob, and Charlie will collaborate honestly to broadcast messages to cluster members by using pre-shared GHZ states. Illegal nodes cannot read out the message correctly for lack of suitable decoding key
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