Majorana Loop Stabilizer Codes for Error Mitigation in Fermionic Quantum Simulations

Life in an imperfect world: While fault-tolerant quantum computing is an ultimate goal, it is far off, so for now we need to find ways to mitigate the errors that creep into quantum computations. Quantum error correction is of key interest, both theoretically and practically. The authors advance the field by considering error-corrected quantum simulation of geometrically local fermionic systems, providing a systematic way to construct error-correcting code using methods from lattice gauge theory, with the gauge operators serving as stabilizers. This method solves two major problems (geometry locality and error mitigation) in near-term quantum simulations of lattice fermion problems.