The great debate between Bohr and Einstein about the completeness of quantum theory eventually centered on the Einstein-Podolsky-Rosen 'paradox' and the conceptually puzzling features of entangled states - what Schroedinger regarded as the 'characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought.' Today, entanglement is recognized as a new physical resource, with exotical applications to teleportation, computation and cryptography. I will show that the existence of entangled states excludes the sort of theoretical description of physical processes that Einstein wanted, by imposing certain constraints on the acquisition, representation and communication of information in our quantum world.

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