However, the idea that Hitler improved the German economy is a myth. Totalitarian governments (both National Socialists and their International Socialist brethren), are good at marshalling massive amounts of resources in the short term, which all technically gets counted as part of GDP. This means that GDP and GDP per capita do both spike every time a big-state government comes to power in what was previously a more free-market economy.
However, this spike does not correspond to any improvement in living standards for people as a whole, and is therefore more of a statistical fallacy than anything else.
Left wingers love to pointedly ignore this phenomenon when trumpeting the "success" of their interventions.
The term for this type of fallacy was actually coined by Hitler's Jewish childhood classmate Ludwig Wittgenstein. The principle of Wittgenstein's ruler states that if you cannot be certain of the accuracy of the graduations on a ruler when measuring a table, then it is equally valid to use the table to measure the ruler.
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