If I want to learn more about Quantum Physics, should I first study Newtonian Physics?

The more you know, the better, but it seems Quantum Physics is most closely related to Wave Optics.  In Wave Optics, you study how light interferes each other according to constructive and destructive interference of waves.  In Quantum Physics, you study about how not just light interfere in this manner, but electrons too.  You also learn about how light can be considered as beams of particles known as photons, with each photon carrying some discrete amount of energy.

That means in order to understand both Quantum Physics and Wave Optics, you need to understand mechanical waves.  You also should understand electromagnetic waves, which means you should also understand electromagnetism.

Newtonian concepts such as velocity, force, acceleration and energy are also indispensable.