[bluesign]

“ So there exist situation where we can use entanglement to achieve better results, for example in "non-local games", where players sharing entangled state can win with probability 1, when "classical player" with probability < 1”

Do you have an example for this? This is really interesting

[roywiggins]

It's called "pseudo-telepathy." The wikipedia page has an example of a game:

https://en.m.wikipedia.org/wiki/Quantum_pseudo-telepathy