Imagine, as an example, you're having a game of hide-and-seek with a clever child. Now, this kid is so cunning that once you approach his hiding spot (even after you've caught him in your sight), they may suddenly appear in another place. That's the principle of quantum erasure: particles can seem to be in two places at the same time, and their location can flip even when you're already 'looking' at them.

This concept can be explained through the famous Double-Slit Experiment where particles like photons or electrons are fired at a barrier with two slits. When we're not observing, these particles behave like waves and pass through both slits at the same time, producing an 'interference pattern' on a screen placed beyond the barrier. However, when we try to observe which slit the particle passed through, it acts like a particle and goes through one slit, showing no interference pattern.

But here's where things get particularly strange and that's where the Delayed Choice Quantum Eraser Experiment comes in. Imagine that we can erase the information about which path (or slit) the particle took after it has already hit the screen. You might think that by this time it's too late, right? The particle has already decided whether it's a wave or a particle. But bizarrely enough, removing that information after the particle hit the screen (the 'delayed choice') changes the pattern on the screen to show interference again, almost as if it had known in advance that we would erase the information.

This phenomenon appears to violate causality - the idea that cause comes before effect. It's almost as though the particles are influenced by events that happen in the future, which is certainly a brain-boggler.

To give some perspective, it's like getting a traffic ticket today for speeding that you're going to do next week! Sounds crazy, doesn't it?

In conclusion, the Delayed Choice Quantum Eraser experiment opens up a world where time's arrow doesn't seem to point solely from past to future. This branch of quantum physics is still rife with mysteries and continues to marvel and confound the brightest of minds. It's an exploration into the very nature of reality, causality, and our understanding of the Universe's workings.