I don't know where you got this definition but it's so broad that it would easily encompass Nazi Germany, which was certainly not communist, or Napoleon III's France.

Any modern form of Communism must have some link to the theories of Marx and Engels. Putin's Russia has no such thing, it's a simple oligarchy led by a semi-formalized dictator for life. See also: Gaddafi, Pinochet, Batista, Mugabe etc etc etc.