# Saturation and recurrence of quantum complexity in random quantum circuits

@inproceedings{Oszmaniec2022SaturationAR, title={Saturation and recurrence of quantum complexity in random quantum circuits}, author={Michał Oszmaniec and Michal Horodecki and Nicholas Hunter-Jones}, year={2022} }

Quantum complexity is a measure of the minimal number of elementary operations required to approximately prepare a given state or unitary channel. Recently, this concept has found applica-tions beyond quantum computing—in studying the dynamics of quantum many-body systems and the long-time properties of AdS black holes. In this context Brown and Susskind [1] conjectured that the complexity of a chaotic quantum system grows linearly in time up to times exponential in the system size, saturating…

## One Citation

### Concentration of quantum equilibration and an estimate of the recurrence time

- Physics
- 2022

We show that the dynamics of generic quantum systems concentrate around their equilibrium value when measuring at arbitrary times. This means that the probability of ﬁnding them away from equilibrium…

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