Regenerative Quantum Error Correction with Individual Spin Qubits

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Realizing the huge potential of quantum information processing hinges on the successful implementation of quantum error correction (QEC). Various error correction schemes have been proposed and some have been demonstrated experimentally in different systems. However, up to now an essential element remains missing: For reliable, scalable quantum computing, error correction must be applied in a cyclic manner, resetting the ancilla qubits at every step to remove entropy from the system. This is the central goal of the project that we are proposing here. For the implementation, we have chosen the nitrogen-vacancy center of diamond, which has a number of attractive properties that will be used in this context, in particular the possibility of rapidly initializing the electron spin into its ground state. The relevant part of the system includes the electron spin, the 14N nuclear spin and a variable number of 13C nuclear spins coupled to the electron spin by hyperfine interactions.