Effective noise channels in fermions

Simulating fermionic systems on a quantum computer requires encoding the fermionic degrees of freedom into the qubits of the device. In the current era, quantum computations are noisy and it is important to have as much information as possible about the noise processes affecting the simulation. In this work, we investigate the effect that noise on the physical qubits of the device has on an encoded fermionic system. Specifically, we provide an algorithm that takes as input a description of a fermionic encoding and a Pauli noise channel and returns the effective noise channel acting on the encoded Fermionic system. We consider a number of examples in both 1D and 2D. We study when a local Pauli error on a qubit corresponds to a local error on the encoded fermionic system, and also highlight how the logical channel depends on the structure of the destabilizer.