Quantum time dynamics of qudit Hamiltonians employing the Yang-Baxter equation for circuit compression

Quantum time dynamics is considered a promising problem for quantum advantage. It has been shown that employing Yang-Baxter symmetry can improve quantum simulations by circuit compression [1]. Generalizing the results to qudits is of great interest since even shallower circuits can be produced by exploiting higher levels. We derive the compressed circuit representations for different special cases of qudit Hamiltonians. We showcase the effectiveness of this approach by performing simulations and compare our results with the ones obtained using qubit-only circuits.

[1] B. Peng et al., Phys. Rev. A 106, 012412 (2022)