Linear growth of quantum circuit complexity

@article{Haferkamp2022LinearGO,
  title={Linear growth of quantum circuit complexity},
  author={Jonas Haferkamp and Philippe Faist and Naga B. T. Kothakonda and Jens Eisert and Nicole Yunger Halpern},
  journal={Nature Physics},
  year={2022}
}
The complexity of quantum states has become a key quantity of interest across various subfields of physics, from quantum computing to the theory of black holes. The evolution of generic quantum systems can be modelled by considering a collection of qubits subjected to sequences of random unitary gates. Here we investigate how the complexity of these random quantum circuits increases by considering how to construct a unitary operation from Haar-random two-qubit quantum gates. Implementing the… 
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