But as a percentage of innovation worldwide, not as much as historically.
The US has done a great job of teaching other nations how to execute, which is to say, how to set up an environment within which motivated people can be rewarded for being successful.
Perhaps not ironically, some of those other countries have learned the negative lessons within such a system (for example, a lack of financial regulation and oversight), and have done more work to mitigate the negative impact than the US has.
The key for the US will be to see if it too can learn from its own mistakes, and from the success of others.
You should have said "copyright state". Remember, writing a computer program that allows someone to copy their legally-purchased DVD to their legally-purchased portable video player is a crime in the US. Needless to say, the only innovation in that sector comes from entities outside the US.
They run this story twice per business cycle, and have been since the 1970s.