Quantum secret sharing with multilevel mutually (un)biased bases

I. Ching Yu, Feng Li Lin, Ching Yu Huang

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We construct general schemes for multipartite quantum secret sharing using multilevel systems, and find that the consistency conditions for valid measurements can be summarized in two simple algebraic conditions. The scheme using very high-dimensional mutually unbiased bases can in principle achieve perfect security against intercept-resend attack; and for the scheme using mutually biased bases, it reaches the optimal but nonperfect security at the four-level system. We also address the security issue against general attacks in the context of our multilevel schemes. In particular, we propose a protocol to enhance both the efficiency and the security against an entanglement-assisted participant's attack by incorporating quantum-key-distribution and measurement-basis-encrypted schemes so that its security is as robust as quantum-key distribution.

Original languageEnglish
Article number012344
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume78
Issue number1
DOIs
Publication statusPublished - 2008 Jul 23

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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