Everyone quoting Zimbabwean unemployment figures is missing the point entirely.
A country with a high minimum wage would probably be a country with a benevolent government.
Nowadays, benevolent government = democratic government.
Democratic government = semi-competent government (this has its exceptions, including my country, the UK).
Semi-competent governments run the country well.
Running the country well (usually) = Low unemployment rates.
As some people have said already, increasing Zimbabwe's minimum wage to $10 or $20 per hour would do absolutely nothing, and quite a few people have already admitted that some of the countries with the lowest unemployment rates don't have any government-enforced minimum wage anyway.