论文标题
Schrödinger对猫的问题：量子力学的群体尺寸图中的测量和状态
Schrödinger's problem with cats: measurements and states in the Groupoid Picture of Quantum Mechanics
论文作者
论文摘要
Schrödinger著名的Gedankenexperiment涉及CAT，用作讨论最近引入的物理理论中经典和量子系统组成的状态的演变。结果表明，从伯克霍夫（Birkhoff）和冯·诺伊曼（von Neumann）的意义上讲，古典系统的概念是等效的，在具有可数量输出数量的系统的情况下，与与Abelian von Neumann代数完全脱节的群体素质相同。根据Raggio的定理，不可能通过在群体形式主义中证明了由古典和量子系统组成的复合系统的产物状态，该复合系统由经典和量子量形成的统一进化而成。
Schrödinger's famous Gedankenexperiment involving a cat is used as a motivation to discuss the evolution of states of the composition of classical and quantum systems in the groupoid formalism for physical theories introduced recently. It is shown that the notion of classical system, in the sense of Birkhoff and von Neumann, is equivalent, in the case of systems with a countable number of outputs, to a totally disconnected groupoid with Abelian von Neumann algebra. In accordance with Raggio's theorem, the impossibility of evolving the product state of a composite system made up of a classical and a quantum one into an entangled state by means of a unitary evolution which is internal to the composite system itself is proved in the groupoid formalism.
