Fig. 3: Standard syndrome extraction circuits for an XXXX stabiliser in the three reset schemes.

The circuits use \(\sqrt{X}\), \({\sqrt{X}}^{\dagger }\) one-qubit gates, CX two-qubit gate, and Z-basis reset and measurement. a Standard text-book circuit using the unconditional-reset scheme. b The conditional-reset version of (a), where the classically-controlled bit-flip gate (pink) is applied immediately after measurement. c The no-reset version of (a) where the conditional bit-flip’s effect from (b) is tracked in software; cf. Eq. (1). We note that, for our simulations, we compiled all circuits in terms of the native gates specified in Table 1.