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We demonstrate that the spin state of solid-state emitters inside micropillarcavities can serve as measure qubits in syndrome measurements. The photons,acting as data qubits, interact with the spin state in the microcavity and thetotal state of the system evolves conditionally due to the resulting circularbirefringence. By performing a quantum non-demolition measurement on the spinstate, the syndrome of the optical state can be obtained. Furthermore, due tothe symmetry of the interaction, we can alternatively choose to employ theoptical states as measure qubits. This protocol can be adapted to variousresource requirements, including spectral discrepancies between the data qubitsand codes with modified connectivities, by considering entangled measurequbits. Finally, we show that spin-systems with dissimilar characteristicenergies can still be entangled with high levels of fidelity and tolerance tocavity losses in the strong coupling regime.

Spin-augmented observables for efficient photonic quantum error correction