Quantum secret sharing schemes and reversibility of quantum operations

2005/04/30 by Tomohiro Ogawa, Akira Sasaki, Mitsugu Iwamoto +2 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.72.032318

8 pages

arxiv created 2005/04/30 · openalex publication_date 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Completely positive maps and entropy inequalities
• Quantum entanglement for secret sharing and secret splitting
• Noncommuting Mixed States Cannot Be Broadcast
• Quantum secret sharing
• Statistical decision theory for quantum systems
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Structure of States Which Satisfy Strong Subadditivity of Quantum Entropy with Equality
• How to share a secret

Cited by

• Hierarchical quantum-information splitting