Anticoncentration and nonstabilizerness spreading under ergodic quantum dynamics

Understand

Quantum state complexity metrics, such as anticoncentration and nonstabilizerness, or ``magic'', offer key insights into many-body physics, information scrambling, and quantum computing.

• Anticoncentration and equilibration of magic resources under dynamics of random quantum circuits occur at times scaling logarithmically with system size, a prediction that is believed to extend to more general ergodic dynamics.
• This work challenges this idea by examining the anticoncentration and magic spreading in one-dimensional ergodic Floquet models and Hamiltonian systems.
• Using participation and stabilizer entropies to probe these resources, we reveal significant differences between the two settings.