Exploring the Quantum World: An index to Ars Technica's, a multi part view of the science behind Quantum. By physicist Miguel F. Morales Prof at U of Washington. While non-mathematical, it is long with lots of little experiments/demonstrations/images along the way. These are well worth doing if you want to get some insight about the idea. Worth skimming at least. Have now had conversations about quantum entanglement with a number of people. Fundamentally it is quite spooky.
See also for a quick fairly intuitive video demo: https://www.youtube.com/watch?v=zcqZHYo7ONs
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