Heisenberg’s uncertainty principle, the limits to knowledge, and the foundations of quantum theory

这个项目将建立不确定性原理可以教给我们的关于量子基础的知识，并将解释为什么量子理论遵循这样一个原理，以及为什么大自然在其他可能的理论中选择了量子理论。具体来说，这个项目将通过推导新的互补关系来确定不确定性原理如何限制人们可以从不相容测量中获得的信息。这些将澄清在量子信息的背景下可以做什么或不能做什么。这个项目将决定有多少理论可以从这些关系中重建，以及需要哪些其他基本公理才能完全推导出量子理论。这将揭示为什么自然偏爱它而不是其他理论的原因。

This project will establish what the uncertainty principle can teach us about quantum foundations, and will address why quantum theory obeys such a principle and why Nature chose quantum theory amongst other possible theories. Specifically, this project will determine how the uncertainty principle restricts the information one can get on incompatible measurements, by deriving new complementarity relations. These will clarify what can or cannot be done in the context of quantum information. This project will determine how much of a theory can be reconstructed from such relations and what other fundamental axioms are required to fully derive quantum theory. This will shed light on the reasons why Nature prefers it to other theories.