论文标题
宏到微型量子映射和非线性的出现
Macro-to-micro quantum mapping and the emergence of nonlinearity
论文作者
论文摘要
作为一种通用物理学理论，量子力学必须将状态分配给系统的每个描述级别 - 从完整的显微镜描述，一直到有效的宏观表征，并描述它们之间的互连。假设我们只能对物理系统有粗粒的访问，我们在这里显示如何分配遵守所有宏观约束的微观描述。为此，我们采用了一般的粗粒地图，即使系统和环境之间的分裂并不明显，也可以使用我们的方法。作为副产品，我们展示了从线性量子演化中可以出现有效的非线性动力学，并且很容易将其应用于状态歧视任务。
As a universal theory of physics, quantum mechanics must assign states to every level of description of a system -- from a full microscopic description, all the way up to an effective macroscopic characterization -- and also to describe the interconnections among them. Assuming that we only have a coarse-grained access to a physical system, here we show how to assign to it a microscopic description that abides by all macroscopic constraints. In order to do that, we employ general coarse-graining maps, allowing our approach to be used even when the split between system and environment is not obvious. As a by-product, we show how effective nonlinear dynamics can emerge from the linear quantum evolution, and we readily apply it to a state discrimination task.
