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arXiv:1104.1270 · International Journal of Quantum Information

SEMIQUANTUM SECRET SHARING USING TWO-PARTICLE ENTANGLED STATE

Jian Wang, Sheng Zhang, Quan Zhang, Chaojing Tang

Published Aug 1, 2012• 68 citations
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Abstract

We present a semiquantum secret sharing protocol by using two-particle entangled states in which quantum Alice shares a secret key with two classical parties, Bob and Charlie. Classical Bob and Charlie are restricted to measuring, preparing a particle in the computational basis, or reflecting the particles. None of them can acquire the secret unless they collaborate. We also show the protocol is secure against eavesdropping.

DOI
10.1142/s0219749912500505

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We present a semiquantum secret sharing protocol by using two-particle entangled states in which quantum Alice shares a secret key with two classical parties, Bob and Charlie. Classical Bob and Charlie are restricted to measuring, preparing a particle in the computational basis, or reflecting the particles. None of them can acquire the secret unless they collaborate. We also show the protocol is secure against eavesdropping.
Secret sharing is a procedure for sharing a secret among a number of participants such that only the qualified subsets of participants have the ability to reconstruct the secret. Even in the presence of eavesdropping, secret sharing can be achieved when all the members are quantum. So what happens if not all the members are quantum? In this paper, we propose two semiquantum secret sharing protocols by using maximally entangled Greenberger-Horne-Zeilinger-type states in which quantum Alice shares a secret with two classical parties, Bob and Charlie, in a way that both parties are sufficient to obtain the secret, but one of them cannot. The presented protocols are also shown to be secure against eavesdropping.
Recently, Boyer et al. presented a novel semiquantum key distribution protocol [ Phys. Rev. Lett. 99 (2007) 140501 ] by using four quantum states, each of which is randomly prepared in the Z or X basis. Here we present a semi-quantum key distribution protocol by using maximally entangled states in which quantum Alice shares a secret key with classical Bob. Quantum Alice has the ability to prepare Bell states and perform Bell basis or computational basis measurement. Classical Bob is restricted to measuring, preparing a particle in the computational basis, reflecting or reordering the particles. The qubit efficiency of the protocol improves to 50% and the protocol can be modified to a measure-resend protocol or a protocol without quantum memory. We also show that the protocol is secure against eavesdropping.
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Semi-quantum secret sharing (SQSS) can transmit secret messages. Most existing SQSS protocols can only use one or two specific entangled states to share unspecific or specific classical message. In this paper, we propose a novel SQSS protocol using N different unspecific two-particle entangled state [Formula: see text], [Formula: see text] to share unspecific message, in which quantum Alice can transmit classical messages with classical Bob and Charlie. In addition, we have proved that the protocol can strongly resist some forms of eavesdropping.
Boyer, Kenigsberg, and Mor [Phys.Rev.Lett.99, 140501(2007)] proposed a novel idea of semi-quantum key distribution where a key can be securely distributed between Alice who can perform any quantum operation and Bob who is classical. Extending the idea of “semiquantum” to other tasks of quantum information processing is of interest and worth considering. In this article, we consider the issue of semi-quantum secret sharing where a quantum participant Alice can share a secret key with two classical participants Bobs. After analyzing the existing protocol, we propose a new protocol of semi-quantum secret sharing. Our protocol is more realistic, since it utilizes product states instead of entangled states. We prove that any attempt of an adversary to obtain information necessarily induces some errors that the legitimate users could notice. 1