The science behind "3 Body Problem"

The book and now the television series are very popular. What is scientifically true and what is fiction? 

An alien civilization spying on humans using quantum entanglement. A planet chaotically orbiting three stars. Nanofibres capable of slicing through Earth’s hardest substance, diamond. Despite being chock-full of hardcore science, 3 Body Problem, a television series released on 21 March by the streaming service Netflix, has been a hit with audiences. So far, it has spent five weeks straight in Netflix’s list of the top-three programs viewed globally.

Via Nature.

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