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A single Yb atom is loaded into a high-finesse optical cavity with a movinglattice, and its nuclear spin state is manipulated using a nuclear magneticresonance technique. A highly reliable quantum state control with fidelity andpurity greater than 0.98 and 0.96, respectively, is confirmed by the fullquantum state tomography; a projective measurement with high speed (500us) andhigh efficiency (0.98) is accomplished using the cavity QED technique. Becausea hyperfine coupling is induced only when the projective measurement isoperational, the long coherence times (T_1 = 0.49 s and T_2 = 0.10 s) aremaintained. Our technique can be applied for implementing a scalable one-wayquantum computation with a cluster state in an optical lattice.

Quantum State Engineering using Single Nuclear Spin Qubit of Optically Manipulated Ytterbium Atom