Exploring Quantum Supremacy in Access Structures of Secret Sharing by Coding Theory
This work addresses the challenge of enhancing security and functionality in secret sharing for cryptography, though it appears incremental as it builds on prior findings.
The paper tackled the problem of realizing access structures in secret sharing schemes using quantum shares, demonstrating that certain access structures cannot be achieved with classical shares, and reported new quantum schemes with this property.
We consider secret sharing schemes with a classical secret and quantum shares. One example of such schemes was recently reported whose access structure cannot be realized by any secret sharing schemes with classical shares. In this paper, we report further quantum secret sharing schemes whose access structures cannot be realized by any classical secret sharing schemes.