Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
Hence |χ± x,y⟩= |x⟩ ∓ |y⟩√ 2 .(S24) It is less clear to observe that they are stabilizer states
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A Nonstabilizerness Resource Law for Universal Quantum State Purification
Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.