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

Understand

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].