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2014

Joint measurability of generalized measurements implies classicality

Uola, Roope, Moroder, Tobias, Gühne, Otfried

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The fact that not all measurements can be carried out simultaneously is a peculiar feature of quantum mechanics and responsible for many key phenomena in the theory, such as complementarity or uncertainty relations.

For the special case of projective measurements quantum behavior can be characterized by the commutator but for generalized measurements it is not easy to decide whether two measurements can still be understood in classical terms or whether they show already quantum features.
We prove that generalized measurements which do not fulfill the notion of joint measurability are nonclassical, as they can be used for the task of quantum steering.
This shows that the notion of joint measurability is, among several definitions, the proper one to characterize quantum behavior.

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