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.
Then x12 ≤2 m12−m23 ≤2 m13−m23 , x 23 ≤2 m23−m13 , x 13 ≤2 m13−m23 ,Re(x 123)≤1.(S86) We denoter= 2 m23−m13, then1≤r≤d
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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.