  Quantum tomography is an important tool for the characterisation of quantum
operations. In this paper, we present a framework of quantum tomography in
fermionic systems. Compared with qubit systems, fermions obey the
superselection rule, which sets constraints on states, processes and
measurements in a fermionic system. As a result, we can only partly reconstruct
an operation that acts on a subset of fermion modes, and the full
reconstruction always requires at least one ancillary fermion mode in addition
to the subset. We also report a protocol for the full reconstruction based on
gates in Majorana fermion quantum computer, including a set of circuits for
realising the informationally-complete state preparation and measurement.
