They are most certainly researching it, and trying to develop it. But they certainly have nothing operational yet.
At some point, they will have a prototype that they will test and test and test and work out all of the bugs. We have not seen that yet...but it is not something that we would necessarily see.
After that, they will rework the design to address the issues, and then an initial version will be set up at one of their naval facilities for final evaluation. Once that happens, and they are satisfied with its performance, then they would begin building them into their next class of carrier (presuming they have the power issues worked out to provide it with enough power...probably an integrated power system on a nuclear vessel), and then as that was being built, they would also put one into their Naval Training Facility.
Chances are that the PLAN is many years away from having any operational EMALS catapult.
My own personal guess is that the PLAN will proceed with the following basic schedule (give or take 3-4 years):
2011-2015 - Liaoning commissioned and worked up. (No catapults)
2014-2017 - Two new, indigenous STOBAR Carriers build. (Chance of designing for a future steam catapult)
2018-2020 - New STOBAR Carriers worked up without catapults.
2022-2025 - New CATOBAR Carrier builds. (Conventional power with Steam Catapults)
2024-2027 - Second CATOBAR Carrier builds. (Conventional power with Steam Catapults)
2026-2029 - Two new CATOBAR Carrier work up,
2030-2032 - Potential retrofit of steam cats back to 1st two indigenous carriers if they were designed for it.
2034-2038 - 1st nuclear powered carrier with potential EMALS catapults builds.
2038-2040 - 1st nuclear powered carrier works up, and then replaces Liaoning in 2042 or so.
2042 - Forward PLAN builds nuclear carriers, maintaining 5 carriers and replacing old ones as they retire.
I doubt that they'd bother with a steam catapult before EMALS, especially when they arguably have more experience with the relevant technologies relevant for the latter than the former. Just because the USN developed an expertise with steam catapults for decades before moving onto EMALS doesn't mean china has to — especially if EMALS has no major prerequisite technological base rooted in the fundamentals of steam catapults.
If the chinese shipbuilding industry really has IEPS ready to go, I'd agree with your time table, but make the first two STOBAR carriers IEPS with the option to refit for EMALS rather than the more space complex steam cat.
I also think they'll reach the five carrier threshold a decade earlier than 2040, but it's early days yet.