# Construction and the ergodicity properties of dual unitary quantum circuits

@inproceedings{Borsi2022ConstructionAT, title={Construction and the ergodicity properties of dual unitary quantum circuits}, author={M'arton Borsi and Bal{\'a}zs Pozsgay}, year={2022} }

We consider one dimensional quantum circuits of the brickwork type, where the fundamental quantum gate is dual unitary. Such models are solvable: the dynamical correlation functions of the inﬁnite temperature ensemble can be computed exactly. We review various existing constructions for dual unitary gates and we supplement them with new ideas in a number of cases. We discuss connections with various topics in physics and mathematics, including quantum information theory, tensor networks for the…

## 6 Citations

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

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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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This work constructs classes of nonrandom unitary Cliﬀord circuits by imposing translation invariance in both time and space and breaks unitarity by adding spacetime-translation-invariant measurements and a class of circuits with fractal dynamics.

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Dual-unitary circuits are paradigmatic examples of exactly solvable yet chaotic quantum many-body systems, but solvability naturally goes along with a degree of non-generic behaviour. By…

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The problem of ﬁnding the resource free, closest local unitary, to any bipartite unitary gate is addressed. Previously discussed as a measure of nonlocality, and denoted K D ( U ) , it has…

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