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We provide a new approach to error mitigation for quantum chemistrysimulation that uses a Bravyi-Kitaev Superfast encoding to implement a quantumerror detecting code within the fermionic encoding. Our construction haslow-weight parity checks as well. We show that for the spinless Hubbard modelwith nearest-neighbor repulsion terms, one-qubit errors are detectable, andmore complicated errors are detectable with high probability. While ourerror-detection requires additional quantum circuitry, we argue that there is aregime in which the beneficial effect of error-mitigation outweighs thedeleterious effects of additional errors due to additional circuitry. We showthat our scheme can be implemented under realistic qubit connectivityrequirements.

Error mitigation via error detection using Generalized Superfast Encodings