论文标题
手术choi-jamiolkowski同构
The Operational Choi-Jamiolkowski Isomorphism
论文作者
论文摘要
在本文中,我使用Choi-Jamiołkowski同构的操作表述探索一种量子力学方法,在该方法中,国家不是基本对象。我首先将该项目置于广义概率理论的背景下,并认为该框架可以被理解为对量子力学的胸膜内因果关系的得出结论的一种手段,这些结构与任何特定的本体论形象无关。然后,我给出了choi-jamiołkowski同构的操作表述,并表明在表现出这种同构的操作理论中,该理论的几种特征通常被视为量子状态的特性,可以从非局部相关性的约束中得出。这表明无需假设状态是这些属性的承载者,因为它们可以理解为多部分和时间相关之间基本等价的后果。
In this article, I use an operational formulation of the Choi-Jamiołkowski isomorphism to explore an approach to quantum mechanics in which the state is not the fundamental object. I first situate this project in the context of generalized probabilistic theories and argue that this framework may be understood as a means of drawing conclusions about the intratheoretic causal structure of quantum mechanics which are independent of any specific ontological picture. I then give an operational formulation of the Choi-Jamiołkowski isomorphism and show that in an operational theory which exhibits this isomorphism, several features of the theory which are usually regarded as properties of the quantum state can be derived from constraints on non-local correlations. This demonstrates that there is no need to postulate states to be the bearers of these properties, since they can be understood as consequences of a fundamental equivalence between multipartite and temporal correlations.