Quantum Secret Sharing from CSS QLDPC Codes: Computable Access Structures, Accessible Logical Dimension, and Topology-Aware Network Cost

Quantum secret sharing QSS schemes can be constructed from quantum error-correcting codes, but characterizing their access structures and implementation costs becomes challenging for finite-length, high-rate quantum low-density parity-check qLDPC codes. We develop an exact computational framework...

Quantum Secret Sharing and Error Correction Vs No-Cloning

Secret sharing is ubiquitous throughout cryptography. All possible access structures are classically feasible, and in the case of threshold access structures, the protocols are even very efficient. However, when moving to the quantum setting, the no-cloning theorem shows that many access structur...