Efficient implementation of single particle Hamiltonians in exponentially reduced qubit space
Martin Plesch, Martin Friák, and Ijaz Ahamed Mohammad
Quantum 10, 2099 (2026). https://doi.org/10.22331/q-2026-05-08-2099 Current and near-term quantum hardware is constrained by limited qubit counts, circuit depth, and the high cost of repeated measurements. We address these challenges for solid-state Hamiltonians by introducing a logarithmic-qubit encoding that maps a system with $N$ physical sites onto only $\lceil \log_2 N \rceil$ qubits while maintaining a clear correspondence with the underlying physical model. Within this reduced register, w