Trapping Ions in a 2-pi Parabolic Mirror

Trapped ion qubit is an excellent candidate for quantum computation and information due to its low decoherence, ease of control and detection, and ability to couple to a photon. Efficient coupling between ions and resonant photons is crucial for ion-photon and remote-ion entanglement protocols. We describe an operation of a RF ion trap in which a reflective parabolic surface serves as the trap's electrodes. This parabolic mirror covers a solid angle of approximately 2 Pi around the trapped ion, while a movable needle electrode allows precise ion placement at the focal point of the parabola. We measured approximately 40{\%} solid angle fluorescence collection from a single Ba$+$ ion with this setup, with an image spot size of about twice the diffraction limit. Progress on image correction and fiber coupling will be reported.