> I think that qm summarized in one sentence is the no-cloning theorem
The no-cloning theorem isn't unique to quantum mechanics. As with many quantum paradoxes, you can translate it into an equivalent statistical paradox. The classical version of the no-cloning theorem is the statement that there's no operation that transforms one sample from a Bernoulli distribution with unknown parameter p into two independent samples from that distribution.
Since there's classical no-cloning, it's a very bad idea to define quantum mechanics as that-thing-with-a-no-cloning-theorem. That definition isn't able to distinguish quantum mechanics from statistics.
The no-cloning theorem isn't unique to quantum mechanics. As with many quantum paradoxes, you can translate it into an equivalent statistical paradox. The classical version of the no-cloning theorem is the statement that there's no operation that transforms one sample from a Bernoulli distribution with unknown parameter p into two independent samples from that distribution.
Since there's classical no-cloning, it's a very bad idea to define quantum mechanics as that-thing-with-a-no-cloning-theorem. That definition isn't able to distinguish quantum mechanics from statistics.