  Based on a quantum thermodynamic protocol for shortcut to isothermality that
smoothly modify the system-reservoir interaction can significantly speed up an
isothermal process while keeping the overall dissipation constant [Phys. Rev.
X. 10, 031015 (2020)], we extend the study of optimization performance of
Carnot-like heat engines and refrigerators in a straightforward and unified
way. We derive the universal optimization efficiency of heat engines and the
optimization coefficient of performance of refrigerators under two unified
optimization criterions, i.e., chi criterion and omega criterion. We also
derived the universal lower and upper bounds for heat engines and
refrigerators, and found that these bounds can be reached under extremely
asymmetric cases.
