Hi,Try this:
Without the diodes, you get class B operation. Only one transistor would be turned on at a time. There would also be crossover distortion because the input signal has to exceed +0.7 or -0.7 (the Vbe drops) before the corresponding transistor conducts.
The diodes make it class AB if your lucky. Part tolerances with no signal will make one of the output transistors to conduct more.
Those diodes should be thermally mounted to the transistors. As Vbe changes with temperature, the diode drop changes too.
Really better would be to use two more transistors as diodes so they track better.
Course, there are better solutions yet.