论文标题

相关量子理论和相关约束

Correlational quantum theory and correlation constraints

论文作者

Jia, Ding

论文摘要

量子理论语言中引入了相关方言,以对有限的信息/操作量子理论,无限维相对论量子理论和量子引力进行统一处理。理论是根据指定相关类型和权重的相关图编写的。分组相似的相关图会导致通用的Feynman图,在特殊情况下,该图将其减少到量子场理论中熟悉的Feynman图。相关形式主义应用于相关约束的研究,揭示了新的量子过程,这些过程逃避了先前的一般量子过程特征。该结果适用于各种量子理论,包括时间 - 对称理论,时间对称理论,没有预定义时间的理论以及具有不确定因果结构的理论。

A correlational dialect is introduced within the quantum theory language to give a unified treatment of finite-dimensional informational/operational quantum theories, infinite-dimensional relativistic quantum theories, and quantum gravity. Theories are written in terms of correlation diagrams which specify correlation types and weights. Grouping similar correlation diagrams leads to generalized Feynman diagrams, which in special cases reduce to the familiar Feynman diagrams from quantum field theories. The correlational formalism is applied in a study of correlation constraints, revealing new classes of quantum processes that evade previous characterizations of general quantum processes. The results apply to quantum theories of various kinds, including time-asymmetric theories, time-symmetric theories, theories without predefined time, and theories with indefinite causal structures.

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