Amortized Stabilizer Rényi Entropy of Quantum Dynamics

Unraveling the secrets of how much nonstabilizerness a quantum dynamic can generate is crucial for harnessing the power of magic states, the essential resources for achieving quantum advantage and realizing fault-tolerant quantum computation. In this work, we introduce the amortized \alpha-stabilizer R\'enyi entropy, a magic monotone for unitary operations that... Show more