Quantum Logic Enabled Test of Discrete Symmetries

Much progress has been made recently towards a CPT test with baryons based on the (anti-)proton's magnetic moment [1, 2]. A big challenge in any such experiment is the spin state measurement for single (anti-)protons, which has not been realized yet at the single-shot level, as would be desirable for an accurate and competitive g-factor CPT test. We describe concepts and simulations for an experiment which will implement single-shot fast readout using quantum logic operations according to the proposal by Heinzen and Wineland [3]. We discuss trapping geometries, concepts for single (anti-)proton rf sideband control, and for ground state cooling of the atomic quantum logic ion at fields exceeding 1 Tesla in a miniaturized Penning trap.\\[4pt] [1] S.Ulmer et al., Phys. Rev. Let. 106, 253001 (2011)\\[0pt] [2] N. Guise et al., Phys. Rev. Let. 104, 143001 (2010)\\[0pt] [3] Heinzen and Wineland, PRA 42, 2977 (1990)