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A broadcasting multiple blind signature scheme based on quantum GHZentanglement has been presented recently by Tian et al. It is said that thescheme's unconditional security is guaranteed by adopting quantum keypreparation, quantum encryption algorithm and quantum entanglement. In thispaper, we prove that each signatory can get the signed message just by anintercept-resend attack. Then, we show there still exists some participantattacks and external attacks. Specifically, we verify the message sender Alicecan impersonate each signatory to sign the message at will, and so is thesignature collector Charlie. Also, we demonstrate that the receiver Bob canforge the signature successfully, and with respect to the external attacks, theeavesdropper Eve can modify the signature at random. Besides, we discover Evecan change the signed message at will, and Eve can impersonate Alice as themessage sender without being discovered. In particular, we propose an improvedscheme based on the original one and show that it is secure against not onlythe attacks mentioned above but also some collusion attacks.

Analyses and improvement of a broadcasting multiple blind signature scheme based on quantum GHZ entanglement