Quantum secret sharing schemes and reversibility of quantum operations

Journal Article · Thu Sep 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.032318· OSTI ID:20718504

Ogawa, Tomohiro ^[1]; Sasaki, Akira ^[2]; Iwamoto, Mitsugu ^[3]; Yamamoto, Hirosuke ^[4]

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1. Graduate School of Information Science and Technology, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656 (Japan)
2. Sumitomo Mitsui Banking Corporation, 1-3-2, Marunouchi, Chiyoda-ku, Tokyo 100-0005 (Japan)
3. Graduate School of Information Systems, University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo, 182-8585 (Japan)
4. Graduate School of Frontier Sciences, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba, 277-8561 (Japan)

Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys. Rev. A 61, 042311 (2000)] is revisited based on a relation between the reversibility of quantum operations and the Holevo information. We also propose a threshold ramp quantum secret sharing scheme and evaluate its coding efficiency.

• OSTI ID: 20718504
• Journal Information: Physical Review. A, Vol. 72, Issue 3; Other Information: DOI: 10.1103/PhysRevA.72.032318; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
EFFICIENCY
ENERGY LEVELS
INFORMATION
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QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM OPERATORS
SECRECY PROTECTION