ELI5: Explain Like I'm 5

Conditional quantum entropy

Okay kiddo, let's talk about conditional quantum entropy. First, do you know what entropy is?

No? Okay, entropy describes how uncertain or unpredictable something is. For example, if you had a game where you knew exactly what was going to happen every time, there would be no entropy. But if you had a game where you didn't know what would happen next, there would be some entropy.

Now, let's add "quantum" to the mix. Do you know what quantum means?

It's all about atoms and particles that are too small to see with our eyes. They act in very strange ways and sometimes can be in two places at once!

So, when we talk about "quantum entropy," we're talking about how unpredictable things are on a very small scale.

Now, let's add "conditional" to the mix. This means that we're looking at the entropy of something, given some other information.

For example, let's say you're playing a game and I give you a clue. With this clue, you can make a better guess about what's going to happen next. The entropy of the game, given the clue, is lower than if you didn't have the clue.

In quantum physics, we can also have conditional entropy. We might know something about a particle, like its position or direction, which makes the entropy of the system lower.

It's kind of like having a hint or a clue - it helps us make better predictions about what's going to happen next. That's why scientists study conditional quantum entropy, because it helps us understand how particles and atoms behave in a very unpredictable and weird way!