The PLAN has already built the other surface combatants needed for a credible carrier battle group, with decent multi-role DDGs, area air defense DDGs and strong multi-role frigates.
They are also building a new class of nuclear powered attack submarine (SSN) that could serve to bolster the ASW defenses of such a group. Here's a pic of what such a group could look like if this thing is ever made operational.
Take a look at all the massive naval shipbuilding the Chinese communists are doing at the following link:
