Quantum Secret Sharing: GHZ-State Alliance Correlations

A dealer splits a secret bit across n parties by distributing one qubit each from an n-qubit GHZ state, encoding the bit as the eigenvalue of the collective X⊗X⊗...⊗X stabilizer. This simulator flies real GHZ-entangled qubits from a central dealer node out to each party's station in 3D, has every party independently choose a measurement basis, and shows live that no single party's outcome — or any subset short of the full alliance — reveals anything about the secret, while the product of all n outcomes recovers it exactly, every time. Occasional Z-basis "check" rounds double as a real disturbance test: toggle a dishonest party's intercept-resend attack on and watch the correlation-check pass rate drop, exactly the signal a quantum secret-sharing protocol uses to catch a cheat.