Okay kiddo, so you know how computers can do amazing things like help you play games, write stories, and do school work? Well, there are also some computers called quantum computers that can do super amazing things even faster than regular computers.
Now, cloud-based quantum computing means instead of having a quantum computer right in front of you, you can use one that is far away and accessed through the internet, it's like borrowing someone else's toy instead of having to buy it yourself.
So, let's pretend you want to use a quantum computer to do some really complicated math problems. You would go to a website and rent time on one of these powerful quantum computers which might be located in a different part of the world.
You would send the math problem you want the quantum computer to solve, then the computer would work on it using special "quantum bits" or "qubits" which can store and process information in ways that regular computer "bits" cannot. Once the quantum computer has finished solving your problem, it will send the answer back to you through the internet.
So, cloud-based quantum computing helps people all over the world use these super powerful quantum computers without having to buy or store them themselves. It's a bit like having a really smart friend who lives far away, but you can text them anytime you need their help with a problem.