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.
This case is symmetric to Case 2 ofm 23 ≥m 12 ≥m 13, withm 13 andm 23 interchanged, and thusx 13 andx 23 interchanged
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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.