Quantum secret sharing using GHZ state qubit positioning and selective qubits strategy for secret reconstruction

TL;DR

This paper introduces a novel quantum secret sharing protocol using GHZ states and selective qubits, enabling secure secret reconstruction with improved efficiency and security against malicious attacks.

Contribution

It proposes a new quantum secret sharing method that employs selective qubits and GHZ states, enhancing security and reducing the need for full state reconstruction.

Findings

Protocol achieves secure secret sharing with selective qubits.

Security is maintained against malicious attacks.

Can be extended to (n,n) schemes.

Abstract

The work presents a novel quantum secret sharing strategy based on GHZ product state sharing between three parties. The dealer, based on the classical information to be shared, toggles his qubit and shares the product state. The other parties make their Bell measurements and collude to reconstruct the secret. Unlike the other protocols, this protocol does not involve the entire initial state reconstruction, rather uses selective qubits to discard the redundant qubits at the time of reconstruction to decrypt the secret. The protocol also allows for security against malicious attacks by an adversary without affecting the integrity of the secret. The security of the protocol lies in the fact that each party's correct announcement of their measurement is required for reconstruction, failing which the reconstruction process is jeopardized, thereby ascertaining the $(3,3)$ scheme which can further be extended for a $(n,n)$ scheme.