Okay, so imagine you have a bunch of toys in your room. You can categorize them into different groups based on what they are made of or what color they are, right? That's kind of what categorical quantum mechanics is all about, but with something called quantum particles.
Quantum particles are really small pieces of matter that can act like both particles and waves (kind of like how water can be a solid or a liquid or a gas). Categorical quantum mechanics is a way of organizing these particles into different groups based on their properties.
One way to categorize quantum particles is based on something called their spin. Spin is a property of these particles that makes them act like they are spinning around, even if they are not actually physically spinning. Scientists use special math to describe and measure spin, and then they can put particles into different categories based on their spin.
Another way to categorize quantum particles is based on something called their charge. Electric charge is a property that some particles have, and it can be positive or negative. Scientists can group particles together based on their charge, and then use that information to study how particles interact with each other.
Overall, categorical quantum mechanics is just a way of organizing quantum particles into different groups based on their properties, just like how you can organize your toys into different categories based on what they are made of. But instead of toys, it's quantum particles, and instead of physical properties, it's things like spin and charge.