# Qudit circuits with SU(d) symmetry: Locality imposes additional conservation laws

@inproceedings{Marvian2021QuditCW, title={Qudit circuits with SU(d) symmetry: Locality imposes additional conservation laws}, author={Iman Marvian and Hanqing Liu and Austin Hulse}, year={2021} }

Local symmetric quantum circuits provide a simple framework to study the dynamics and phases of complex quantum systems with conserved charges. However, some of their basic properties have not yet been understood. Recently, it has been shown that such quantum circuits only generate a restricted subset of symmetric unitary transformations [I. Marvian, Nature Physics, 2022]. In this paper, we consider circuits with 2-local SU(d)invariant unitaries acting on qudits, i.e., d-dimensional quantum…

## 3 Citations

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The results not only indicate (potentially eﬃcient) randomized constructions of optimal U (1)- and SU ( d )-covariant codes, but also reveal fundamental properties of random symmetric unitaries, which yield important solvable models of complex quantum systems that have attracted great recent interest in quantum gravity and condensed matter physics.

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