Speaker
Description
We present a family of local fermion-to-qudit mappings that exploit four-level systems to encode fermionic degrees of freedom with local qudit operators. By tailoring the mappings to both spinless and spinful fermions, we achieve lower qudit weight and shallower circuit constructions compared with standard fermion encodings such as the Jordan–Wigner transformation. The resulting representations preserve locality while maintaining compatibility with currently accessible multi-level hardware, particularly superconducting qudits. We benchmark the approach through Trotterized simulations of archetypal models—including the spinless t−V model and the two-dimensional Fermi–Hubbard model, demonstrating reductions in two-qudit gate counts without added computational overhead. These results indicate that qudit-based architectures provide a scalable and resource-efficient pathway for simulating interacting fermionic systems.
References
Local fermion-to-qudit mappings: A practical recipe for four-level systems: https://doi.org/10.1103/bcs4-hxl3
| Sessions | Quantum Simulation |
|---|---|
| Invited | No |