Prospects of CPT tests using antiprotonic helium and antihydrogen

Testing CPT to the highest possible precision using the laser spectroscopy of antiprotonic helium atoms (a neutral three‐body system consisting of an antiproton, a helium nucleus and an electron) is the current goal of ASACUSA collaboration at CERN AD. The present status and future prospects are discussed in the first half of the talk. Our program will be extended in the future to include the microwave spectroscopy of ground‐state hyperfine splitting of antihydrogen. The physics motivations and possible measurement schemes are presented in the second half.