For university students studying physics, quantum mechanics is considered an extremely difficult subject, but one which must be taught increasingly early in their careers.
Making quantum mechanics mathematically rigorous is possible, but very very difficult. It requires grad level knowledge in mathematics. Furthermore, making it rigorous is pretty useless from a physics point of view. It does not help making physical predictions.
Presently, there are no degrees available specifically in the field of quantum physics, which is the study of quantities of energy called quanta. However, students can study quantum physics as part of physics programs at the undergraduate level.
You should learn quantum mechanics only if you are drawn to a deeper and more consistent understanding of how the natural world functions. You should learn it if you are passionate about exploring the unseen scales of the world, and especially about using mathematics to do so.
Quantum computers are exceedingly difficult to engineer, build and program. As a result, they are crippled by errors in the form of noise, faults and loss of quantum coherence, which is crucial to their operation and yet falls apart before any nontrivial program has a chance to run to completion.
In order to study elementary quantum mechanics you must ideally have an understanding of the following mathematical ideas:Complex numbers.Partial and Ordinary differential equations.Integral calculus I-III.linear algebra.fourier analysis.
Today, every other thing is influenced by quantum physics. For example: Computers and Smartphone: The entire working process of computers is based on quantum physics. The phenomenon of band structure, which supports the modern semiconductor- based electronics, is fundamentally a quantum mechanism.