A Compact Fermion to Qubit Mapping Part 2: Alternative Lattice Geometries

Understand

In recent work [arXiv:2003.06939v2] a novel fermion to qubit mapping -- called the compact encoding -- was introduced which outperforms all previous local mappings in both the qubit to mode ratio, and the locality of mapped operators.

• There the encoding was demonstrated for square and hexagonal lattices.
• Here we present an extension of that work by illustrating how to apply the compact encoding to other regular lattices.
• We give constructions for variants of the compact encoding on all regular tilings with maximum degree 4.