For single-qubit quantum secret sharing protocols, encoding each qubit three times and taking a majority vote corrects bit-flip, phase-flip, and amplitude-damping noise with only three physical qubits per logical qubit.
Algorithms for quantum computation: dis- crete logarithms and factoring,
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Resource Reduction in Multiparty Quantum Secret Sharing of both Classical and Quantum Information under Noisy Scenario
For single-qubit quantum secret sharing protocols, encoding each qubit three times and taking a majority vote corrects bit-flip, phase-flip, and amplitude-damping noise with only three physical qubits per logical qubit.