dorsal/arxiv
View SchemaEfficient Multi-Party Quantum Secret Sharing Schemes
| Authors | Li Xiao, Gui Lu Long, Fu-Guo Deng, Jian-Wei Pan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405179 |
| URL | https://arxiv.org/abs/quant-ph/0405179 |
| DOI | 10.1103/PhysRevA.69.052307 |
| Journal | PHYSICAL REVIEW A 69, 052307 (2004) |
Abstract
In this work, we generalize the quantum secret sharing scheme of Hillary, Bu\v{z}ek and Berthiaume[Phys. Rev. A59, 1829(1999)] into arbitrary multi-parties. Explicit expressions for the shared secret bit is given. It is shown that in the Hillery-Bu\v{z}ek-Berthiaume quantum secret sharing scheme the secret information is shared in the parity of binary strings formed by the measured outcomes of the participants. In addition, we have increased the efficiency of the quantum secret sharing scheme by generalizing two techniques from quantum key distribution. The favored-measuring-basis Quantum secret sharing scheme is developed from the Lo-Chau-Ardehali technique[H. K. Lo, H. F. Chau and M. Ardehali, quant-ph/0011056] where all the participants choose their measuring-basis asymmetrically, and the measuring-basis-encrypted Quantum secret sharing scheme is developed from the Hwang-Koh-Han technique [W. Y. Hwang, I. G. Koh and Y. D. Han, Phys. Lett. A244, 489 (1998)] where all participants choose their measuring-basis according to a control key. Both schemes are asymptotically 100% in efficiency, hence nearly all the GHZ-states in a quantum secret sharing process are used to generate shared secret information.
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"abstract": "In this work, we generalize the quantum secret sharing scheme of Hillary,\nBu\\v{z}ek and Berthiaume[Phys. Rev. A59, 1829(1999)] into arbitrary\nmulti-parties. Explicit expressions for the shared secret bit is given. It is\nshown that in the Hillery-Bu\\v{z}ek-Berthiaume quantum secret sharing scheme\nthe secret information is shared in the parity of binary strings formed by the\nmeasured outcomes of the participants. In addition, we have increased the\nefficiency of the quantum secret sharing scheme by generalizing two techniques\nfrom quantum key distribution. The favored-measuring-basis Quantum secret\nsharing scheme is developed from the Lo-Chau-Ardehali technique[H. K. Lo, H. F.\nChau and M. Ardehali, quant-ph/0011056] where all the participants choose their\nmeasuring-basis asymmetrically, and the measuring-basis-encrypted Quantum\nsecret sharing scheme is developed from the Hwang-Koh-Han technique [W. Y.\nHwang, I. G. Koh and Y. D. Han, Phys. Lett. A244, 489 (1998)] where all\nparticipants choose their measuring-basis according to a control key. Both\nschemes are asymptotically 100% in efficiency, hence nearly all the GHZ-states\nin a quantum secret sharing process are used to generate shared secret\ninformation.",
"arxiv_id": "quant-ph/0405179",
"authors": [
"Li Xiao",
"Gui Lu Long",
"Fu-Guo Deng",
"Jian-Wei Pan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.052307",
"journal_ref": "PHYSICAL REVIEW A 69, 052307 (2004)",
"title": "Efficient Multi-Party Quantum Secret Sharing Schemes",
"url": "https://arxiv.org/abs/quant-ph/0405179"
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