Quantum simulation of materials with interacting fermions and bosons (DAQS): A. Mezzacapo, J. Casanova, L. Lamata, and E. Solano, “Digital Quantum Simulation of the Holstein Model in Trapped Ions”, Phys. Rev. Lett. 109, 200501 (2012). Link: [1207.2664] Digital Quantum Simulation of the Holstein Model in Trapped Ions (arxiv.org)
In this work, we developed the pioneering Co-Design quantum simulation/computation of materials involving fermions coupled to bosons, where bosons are represented by bosons, as it should be for efficiency reasons. Along these lines, many important models in material design for quantum computers can reach quantum advantage with a few dozens of quantum elements, be qubits, qutrits, cavity modes, or open transmission lines.