International Conference on Data Analytics for Business and Industry (ICDABI)

Robustness of Hillary’s Quantum Secret Sharing Protocol under Random Telegraph Noise

E. S. Elkhouly, S. I. Ali, N. Metwally

Published Oct 29, 2025• 0 citations

Abstract

This study investigates the feasibility of sharing a classical string via quantum protocols through channels subjected to Markovian and non-Markovian Random Telegraph Noise (RTN). The quantum secret sharing protocol is implemented using three-qubit channels based on Greenberger-Horne-Zeilinger (GHZ) and W-type states. The results indicate that the shared state can be received with a fidelity exceeding 95%. The classical coding parameter, along with the measurements performed by the sender and the controller, plays a crucial role in maximizing or minimizing the fidelity of the shared state. In the non-Markovian regime, the fidelity oscillates between its upper and lower bounds due to information backflow from the environment, whereas it exhibits a monotonic decay under Markovian conditions.

DOI: 10.1109/icdabi67967.2025.11547653

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