Quantum error correction with nuclear spins in diamond

Quantum error correction is essential for large-scale quantum information processing. By encoding a quantum state in an entangled state of multiple qubits errors can be detected and corrected without obtaining information about the encoded state [1,2]. In this talk I will present quantum error correction based on spins in diamond. We used the electron spin of a nitrogen-vacancy centre to selectively initialize, control and read out multiple carbon-13 nuclear spins in the surrounding spin bath [3]. With these spin we implemented a three-qubit quantum-error-correction protocol and demonstrated the robustness of the encoded state against applied errors [1]. Furthermore, I will discuss how working at cryogenic temperatures will make it possible to realize error correction based on projective multi-qubit parity measurements [4], as envisioned in most modern error correction codes. \\ {} [1] T. H. Taminiau et al., Nature Nanotech. 9, 171 (2014) [2] G. Waldherr et al., Nature 506, 204 (2014) [3] T. H. Taminiau et al., Phys. Rev. Lett. 109, 137602 (2012) [4] W. Pfaff et al., Nature Phys. 9, 29 (2013)