Quantum Secret Sharing Schemes and Reversibility of Quantum Operations
arXiv:quant-ph/0505001 · doi:10.1103/PhysRevA.72.032318
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 \textbf{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.
8 pages
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- Approximate reconstructability of quantum states and noisy quantum secret sharing schemes
- Unitary Reconstruction of Secret for Stabilizer Based Quantum Secret Sharing
- Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation
- New Protocols and Lower Bound for Quantum Secret Sharing with Graph States
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- Unified Approach to Secret Sharing and Symmetric Private Information Retrieval with Colluding Servers in Quantum Systems
- Reversibility conditions for quantum channels and their applications
- Continuous-variable ramp quantum secret sharing with Gaussian states and operations
- Reversibility of a quantum channel: general conditions and their applications to Bosonic linear channels
- Constructions of -Adic -Deletion-Correcting Quantum Codes
- Classical Access Structures of Ramp Secret Sharing Based on Quantum Stabilizer Codes
- Entanglement Sharing Protocol via Quantum Error Correcting Codes
- Coding Theoretic Construction of Quantum Ramp Secret Sharing
- Advance sharing of quantum shares for quantum secrets
- Quantum Stabilizer Codes Can Realize Access Structures Impossible by Classical Secret Sharing
- Quantum Optimal Multiple Assignment Scheme for Realizing General Access Structure of Secret Sharing
- Exploring Quantum Supremacy in Access Structures of Secret Sharing by Coding Theory
- Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate
- Measurement-free reconstruction circuit of quantum secrets in quantum secret sharing
- Compactness criterion for families of quantum operations in the strong convergence topology and its applications
- Single-Shot Secure Quantum Network Coding for General Multiple Unicast Network with Free One-Way Public Communication