Not really, Capitalism is free-trade between two parties.
The more government involvement you have the more it moves towards socialism or communism where the government controls trade.
At least this was the historical meaning. These days Capitalism is being redefined to mean private (non-government) Communism. That is, power concentrated in the hands of a few.
It's not possible to have a free market without competitive markets, price systems, private property, property rights recognition, and voluntary exchange.
> Capitalism is where the private citizens controls the capital.
Well, that's a tautology, but based on the examples you cite in the next sentence, you're mixing up "property" with "capital". Capital is specifically the means of production. All capital is property, but not all property is capital. A factory filled with machinery is capital; your toothbrush isn't.
> It's not possible to have a free market without competitive markets, price systems, private property, property rights recognition, and voluntary exchange.
Most of these predate capitalism.
But if you don't have the time for that, just read the intro paragraph.
i've heard this called super-capitalism, yeah.