Non-maximally entangled states exhibit full nonlocality under simple Schmidt coefficient conditions, and all pure entangled states can be activated to full nonlocality with multiple copies.
Hidden Variables and the Two Theorems of John Bell
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abstract
Although skeptical of the prohibitive power of no-hidden-variables theorems, John Bell was himself responsible for the two most important ones. I describe some recent versions of the lesser known of the two (familar to experts as the "Kochen-Specker theorem") which have transparently simple proofs. One of the new versions can be converted without additional analysis into a powerful form of the very much better known "Bell's Theorem", thereby clarifying the conceptual link between these two results of Bell.
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Generalized partial joint-measurability of quantum measurements is equivalent to perfect classical guessing by an adversary with side information and is decidable via a single semidefinite program, producing analytical bounds on detection efficiency for quantum cryptography.
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All pure entangled states can lead to fully nonlocal correlations
Non-maximally entangled states exhibit full nonlocality under simple Schmidt coefficient conditions, and all pure entangled states can be activated to full nonlocality with multiple copies.
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Generalized measurement incompatibility
Generalized partial joint-measurability of quantum measurements is equivalent to perfect classical guessing by an adversary with side information and is decidable via a single semidefinite program, producing analytical bounds on detection efficiency for quantum cryptography.