• Corpus ID: 235212336

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

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

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