Generalized Probabilistic Theories

广义概率论

• 批准号: 232601095
• 负责人: Professor Dr. Haye Hinrichsen
• 金额: --
• 依托单位: Lehrstuhl für Theoretische Physik III
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2013
• 资助国家: 德国
• 起止时间: 2012-12-31 至 2015-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/232601095?language=en
• 关键词: Generalized; Probabilistic; Theories

The present project addresses the question of what determines the specific mathematical structure of quantum theory. A minimal set of postulates does not automatically lead to quantum theory, instead one obtains a large variety of so-called generalized probabilistic theories (GPT's) in which classical and quantum physics emerge as special cases. The aim of the project is to expand the scope of generalized probability theories in such a way that the set of states and effects can be specified individually. On the other hand, we intend to further restrict the space of possible theories by incorporating physically motivated assumptions in order to understand why the realized theory in Nature is quantum theory. For this project, which has already begun, a final funding is requested.

目前的项目解决了是什么决定了量子理论的具体数学结构的问题。一组最小的假设并不会自动导致量子理论，相反，人们得到了大量所谓的广义概率论（GPT's），其中经典物理学和量子物理学作为特殊情况出现。该项目的目的是扩大广义概率论的范围，使状态和效应的集合可以单独指定。另一方面，我们打算通过结合物理动机假设来进一步限制可能理论的空间，以便理解为什么《自然》中实现的理论是量子理论。对于这个已经开始的项目，要求提供最后的经费。

项目成果

Generalized probabilistic theories without the no-restriction hypothesis

• DOI: 10.1103/physreva.87.052131
• 发表时间: 2013-05-23
• 期刊: PHYSICAL REVIEW A
• 影响因子: 2.9
• 作者: Janotta, Peter;Lal, Raymond
• 通讯作者: Lal, Raymond

Generalized probability theories: what determines the structure of quantum theory?

• DOI: 10.1088/1751-8113/47/32/323001
• 发表时间: 2014-02
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: Peter Janotta;H. Hinrichsen