Coherent control of an NV${}^{-}$ center with one adjacent 13C

Abstract

We investigate the theoretically achievable fidelities when coherently controlling an effective three qubit system consisting of a negatively charged nitrogen vacancy (NV${}^{-}$) center in diamond with an additional nearby carbon ${}^{13}$C spin $I_{\text{C}}=1/2$ via square radio and microwave frequency pulses in different magnetic field regimes. Such a system has potentially interesting applications in quantum information related tasks such as distributed quantum computation or quantum repeater schemes. We find that the best fidelities can be achieved in an intermediate magnetic field regime. However, with only square pulses it will be challenging to reach the fidelity threshold(s) predicted by current models of fault-tolerant quantum computing.

arXiv comment14 pages, 9 figures, 3 tables

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Cited by in corpus (6)

• Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
• Dynamic ${}^{14}\mathrm{N}$ nuclear spin polarization in nitrogen-vacancy centers in diamond
• Indirect Control of the ${}^{29}\mathrm{Si}{\mathrm{V}}^{-}$ Nuclear Spin in Diamond
• Nuclear spin relaxation in solid state defect quantum bits via electron-phonon coupling in their optical excited state
• Streaking single-electron ionization in open-shell molecules driven by X-ray pulses
• Mapping the direction of electron ionization to phase delay between VUV and IR laser pulses