Strong notions of nonclassicality: experimental signatures and applications

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Quantum theory underlies most of modern physics, but there is still no consensus about the manner in which it departs conceptually from classical theories. The question is not academic. For many tasks -- in particular in cryptography and computation -- quantum protocols outperform their classical counterparts, but poor intuitions about quantum theory impede our ability to harness its power. The problem is also acute for interdisciplinary research, as different branches of physics often use formulations of quantum theory that differ in their approaches to defining classicality. Finally, in emerging fields where quantum effects are thought to be significant, such as quantum biology and quantum machine learning, it remains unclear what must be demonstrated to establish that a given phenomenon resists classical explanation. All of this points to the need for a unified theory of nonclassicality that transcends fields and formulations.