Quantum computing with Majorana fermion codes

Majorana-based qubits are candidates for qubits with long coherence times. Just like conventional qubits, these qubits require active error correction in order to run arbitrarily long quantum computations. Unlike conventional quits though, Majorana-based qubits can use not only qubit-based codes, but also Majorana fermion codes for error correction. Several proposals for Majorana-based quantum computing with and without error correction exist, each featuring individual strategies to implement a universal set of gates. This paper unites all these approaches in a general framework, in which a certain set of operations---Clifford gates---are implemented with zero time overhead.