Weak classicality in coupled N-level quantum systems
The notion of “weak classical limit” for coupled N-level quantum systems as N → ∞ is introduced to understand the precise sense in which one attains classicality. There exists proofs that a system becomes classical at large N [1, 2]. On the other hand, it is known that non-locality and entanglement, the two hallmarks of non-classicality, thrive even as N → ∞. We reconcile these results in this paper by showing that so called classicality is not so much an inherent property of the system, as it is a consequence of limited experimental resources. Our focus is largely on non-locality, for which we study the Bell-CHSH and CGLMP inequalities for N-level systems.
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