# 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…

## 4 Citations

Dynamical purification and the emergence of quantum state designs from the projected ensemble

- Physics
- 2022

Quantum thermalization in a many-body system is deﬁned by the approach of local subsystems towards a universal form, describable as an ensemble of quantum states wherein observables acquire thermal…

Growth of entanglement of generic states under dual-unitary dynamics

- Physics, Mathematics
- 2022

Dual-unitary circuits are a class of locally-interacting quantum many-body systems displaying unitary dynamics also when the roles of space and time are exchanged. These systems have recently emerged…

Circuits of space-time quantum channels

- Physics
- 2022

Exact solutions in interacting many-body systems are scarce and very valuable since they provide crucial insights into the dynamics. This is true for both closed and open quantum systems. Recently…

Construction and local equivalence of dual-unitary operators: from dynamical maps to quantum combinatorial designs

- Mathematics
- 2022

While quantum circuits built from two-particle dual-unitary (maximally entangled) operators serve as minimal models of typically nonintegrable many-body systems, the construction and characterization…

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