Table 1 Scaling of the computational space.

The size of the computational space scales quadratically with the number of logical spins N. Left column, size of the logical system; middle column, size of the computational space for the ancillary qutrit (even parity) architecture; right column, size of the computational space for the ancillary qubit (odd-parity) architecture.

 N Qutrit Qubit 3 2633 29 4 21036 216 5 215310 225 6 221315 236 7 228321 249