Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics

@article{Claeys2022EmergentQS,
  title={Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics},
  author={Pieter W. Claeys and Austen Lamacraft},
  journal={Quantum},
  year={2022}
}
Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by performing projective measurements on the remainder of the system, leading to a projected ensemble. In chaotic quantum systems it was conjectured that such projected ensembles become indistinguishable from the uniform Haar-random ensemble and lead to… 

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