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We report the implementation of a 3-qubit quantum error correction code(QECC) on a quantum information processor realized by the magnetic resonance ofCarbon nuclei in a single crystal of Malonic Acid. The code corrects for phaseerrors induced on the qubits due to imperfect decoupling of the magneticenvironment represented by nearby spins, as well as unwanted evolution underthe internal Hamiltonian. We also experimentally demonstrate sufficiently highfidelity control to implement two rounds of quantum error correction. This is ademonstration of state-of-the-art control in solid state nuclear magneticresonance, a leading test-bed for the implementation of quantum algorithms.

Demonstration of sufficient control for two rounds of quantum error correction in a solid state ensemble quantum information processor