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

Abstract

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-$\text{Z}$ gate. We predict operation times below 100 nanoseconds, which is several orders of magnitude faster than the decoherence time of nuclear spin qubits in diamond.

6 pages (including 2 appendices), 3 figures, 1 table

References in corpus (12)

• High-fidelity projective readout of a solid-state spin quantum register
• Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• Stark shift control of single optical centers in diamond
• Fidelity of quantum operations
• Ab initio supercell calculations on nitrogen-vacancy center in diamond: its electronic structure and hyperfine tensors
• High-Q optical nanocavities in bulk single-crystal diamond
• The negatively charged nitrogen-vacancy centre in diamond: the electronic solution
• Excited-state spectroscopy using single-spin manipulation in diamond
• Demonstration of entanglement-by-measurement of solid state qubits
• Theoretical model of the dynamic spin polarization of nuclei coupled to paramagnetic point defects in diamond and silicon carbide
• Coherence of an optically illuminated single nuclear spin qubit

Cited by in corpus (6)

• Electron-nuclear spin dynamics of Ga${}^{2+}$ paramagnetic centers probed by spin dependent recombination: A master equation approach
• Electron-nuclear coherent spin oscillations probed by spin dependent recombination
• High-Fidelity Entangling Gates for Electron and Nuclear Spin Qubits in Diamond
• NMR lineshape of ${}^{29}$Si in single-crystal silicon
• Cross-entangling electronic and nuclear spins of distant nitrogen-vacancy centers in noisy environments by means of quantum microwave radiation
• Suppression of coherent errors during entangling operations in NV centers in diamond