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The most scalable proposed methods of simulating lattice fermions on noisyquantum computers employ encodings that eliminate nonlocal operators using aconstant factor more qubits and a nontrivial stabilizer group. In this work, weinvestigated the most straightforward error mitigation strategy using thestabilizer group, stabilizer postselection, that is very natural to the settingof fermionic quantum simulation. We numerically investigate the performance ofthe error mitigation strategy on a range of systems containing up to 42 qubitsand on a number of fundamental quantum simulation tasks includingnon-equilibrium dynamics and variational ground state calculations. We findthat at reasonable noise rates and system sizes, the fidelity of computationscan be increased significantly beyond what can be achieved with the standardJordan-Wigner transformation at the cost of increasing the number of shots byless than a factor of 10, potentially providing a meaningful boost to near-termquantum simulations. Our simulations are enabled by new classical simulationalgorithms that scale with the logical Hilbert space dimension rather than thephysical Hilbert space dimension.

Simulating quantum error mitigation in fermionic encodings