We present a fully customizable construction for designing quantum codes for systems of fermions on a quantum computer.
The required number of qubits and the gate counts determine the feasibility of a quantum simulation experiment. The construction presented lets one realize a trade-off between these two resources and in some cases lower both costs simultaneously. This work significantly advances our knowledge of how to encode physical systems on quantum computers.
For details see “Custom fermionic codes for quantum simulation”, Riley W. Chien, James D. Whitfield. arXiv:2009.11860.