Quantum Teleportation: Explaining Quantum State, Opposite Phase & Entanglement

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I'm doing a report about quantum teleportation and I am in need of a few terms to be explained to me from an article that I have read about it.

Can anyone explain a quantum state to me more thoroughly than any published website?

In the article it also says that the laser had an opposite phase than the cesium atoms, an explanation of that would be nice.

And last but not least, could someone explain to me quantum entanglement? I understand the idea of it, I guess I just need confirmation in the subject.

Any help would be very helpful and appreciated.

Thank You.
 
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It is not clear what exactly do you need, but if you need a popular non-technical explanation, I recommend the book:
Brian Greene, The Fabric of the Cosmos