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Physical Review A

Comment on “Generalized Smolin states and their properties”

Ya‐Fei Yu

Published Jun 8, 2007• 6 citations
Publisher

Abstract

We considered a scenario recently suggested by Augusiak and Horodecki [Phys. Rev. A 73, 012318 (2006)], which used Smolin bound entangled states to share secrets. It is shown that a dishonest party can fully access secret information by an intercept-resend strategy without being detected.
DOI
10.1103/physreva.75.066301

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It was indicated [Yu 2007 Phys. Rev. A 75 066301] that a previous proposed quantum secret sharing (QSS) protocol based on Smolin states [Augusiak 2006 Phys. Rev. A 73 012318] is insecure against an internal cheater. Here we build a different QSS protocol with Smolin states alone, and prove it to be secure against known cheating strategies. Thus we open a promising venue for building secure QSS using merely Smolin states, which is a typical kind of bound entangled states. We also propose a feasible scheme to implement the protocol experimentally.
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Recently, Yan and Gao [Phys. Rev. A 72, 012304 (2005)] presented a quantum secret sharing protocol which allows a secret message to be shared between two groups of parties (mmm parties in group 1 and nnn parties in group 2). Their protocol is claimed to be secure that, except with the cooperation of the entire group 1 or group 2, no subgroup of either group 1 or group 2 can extract the secret message. However, this study points out that the mthm\text{th}mth party (the last party to process the quantum state) of group 1 can maliciously replace the secret message with an arbitrary message without the detection of the other parties.