Quantum computers are modeled with extremely basic linear algebra. Quantum states are vectors and gates are matrices which multiply those vectors to get new vectors. How much simpler do you want? You can explain most of it as rotations around the unit circle which we all learn in high school or earlier.

The problem is pop science crap that tries to explain superposition and entanglement with complete word salad instead of "linear combination" and "product vector cannot be factored into tensor product of single-qbit states", respectively.

Anyway it is extremely doubtful that more programmers will need to learn how to program a quantum computer than, say, will need to learn how to program a GPU. They're both useful co-processors for very specific workloads. Programming will remain a fundamentally classical endeavor.