Razib has an excellent post about the genetic history of China up on gnxp.nofe. Worth a read.
Of course, unlike India, China is dominated by one ethnic group with clear genetic and cultural identity and has a long history of political unity (even though interspersed with recurrent civil wars and invasions), so there is relatively little fear of population genetics and its findings.. let the chips fall where they may, we know who is boss.. (I admit that I may not be aware of lower level Chinese debates about ancestry, where some people may indeed get hot and bothered about genetic results, but the point is that it is still not a hot-potato in the way population genetics is in India).
For background on the Indian debates, see Razib’s article here and my own (less genetics, more politics) article here.
By the way, the comments and answers on Razib’s article are very sane and add value. Please do read.