Long-range photon-mediated gate scheme between nuclear spin qubits in diamond

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Physical Review B. 2016, 93(3), 035402. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.93.035402
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Defect centers in diamond are exceptional solid-state quantum systems that can have exceedingly long electron and nuclear spin coherence times. So far, single-qubit gates for the nitrogen nuclear spin, a two-qubit gate with a nitrogen-vacancy (NV) center electron spin, and entanglement between nearby nitrogen nuclear spins have been demonstrated. Here, we develop a scheme to implement a universal two-qubit gate between two distant nitrogen nuclear spins. Virtual excitation of an NV center that is embedded in an optical cavity can scatter a laser photon into the cavity mode; we show that this process depends on the nuclear spin state of the nitrogen atom. If two NV centers are simultaneously coupled to a common cavity mode and individually excited, virtual cavity photon exchange can mediate an effective interaction between the nuclear spin qubits, conditioned on the spin state of both nuclei, which implements a universal controlled-Z gate. We predict operation times below 10μs, which is four orders of magnitude faster than the decoherence time of nuclear spin qubits in diamond.

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ISO 690AUER, Adrian, Guido BURKARD, 2016. Long-range photon-mediated gate scheme between nuclear spin qubits in diamond. In: Physical Review B. 2016, 93(3), 035402. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.93.035402
BibTex
@article{Auer2016Longr-33409,
  year={2016},
  doi={10.1103/PhysRevB.93.035402},
  title={Long-range photon-mediated gate scheme between nuclear spin qubits in diamond},
  number={3},
  volume={93},
  issn={2469-9950},
  journal={Physical Review B},
  author={Auer, Adrian and Burkard, Guido},
  note={Article Number: 035402}
}
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