High-fidelity entanglement ofCa+43hyperfine clock states

Abstract

In an experiment using the odd calcium isotope $^{43}\mathrm{Ca}^{+}$, we combine the merits of a high-fidelity entangling operation on an optical transition (optical qubit) with the long coherence times of two ``clock'' states in the hyperfine ground state (hyperfine qubit) by mapping between these two qubits. For state initialization, state detection, global qubit rotations, and mapping operations, errors smaller than 1% are achieved, whereas the entangling gate adds errors of 2.3%. Based on these operations, we create Bell states with a fidelity of 96.9(3)% in the optical qubit and a fidelity of 96.7(3)% when mapped to the hyperfine states. In the latter case, the entanglement is preserved for $96(3)\phantom{\rule{0.3em}{0ex}}\mathrm{ms}$, exceeding the duration of a single gate operation by three orders of magnitude.