What is the difference between a Verify Scope process and quality control?

There is no difference.

Verify Scope is primarily concerned with the correctness of work results while quality control is primarily concerned with the acceptance of work results.

Verify Scope is concerned with ensuring that changes are beneficial while quality control is concerned that the overall work results are correct.

Verify Scope is primarily concerned with the acceptance of work results while quality control is primarily concerned with the correctness of work results.