在非古典世界中的共识与分歧
Adam Brandenburger1, Patricia Contreras-Tejada2, Pierfrancesco La Mura3
1Stern School of Business, Tandon School of Engineering, NYU Shanghai, New York University, New York, NY 10012, USA.
概括
具有共同先验的贝叶斯元件不能同意对事件概率的不同意见. 这项研究将这一发现扩展到非经典领域,使用已签名的概率,显示协议并不总是必要的,即使有确定性.
科学领域:
- 认识论的认识论学.
- 量子力学就是量子力学.
- 概率理论的概率理论是什么
背景情况:
- 奥曼的协议定理 (1976) 指出,具有共同先验的贝叶斯元件不能对不同后面概率有共同的知识.
- 经典概率理论支配了这些结果,但不适用于量子力学等非经典领域.
研究的目的:
- 通过使用符号概率来研究非经典领域的认识学属性.
- 确定非经典领域的代理人是否可以"同意不同意"或对不同的概率有共同的确定性.
主要方法:
- 使用符号概率来建模非经典的认识论场景.
- 将贝叶斯协议原则扩展到量子启发的概率框架.
主要成果:
- 在非经典领域,两种代理对事件赋予不同的概率不可能是普遍的知识.
- 与古典领域不同,不同概率的共同确定性在非古典环境中是可能的.
- 如果不同概率的共同确定性是可能的,如果通讯被启用,即使没有使用,它也不能是共同确定性.
结论:
- 无法"同意不同意"扩展到非经典领域,但在共同确定性方面存在细微差别.
- 签名概率为理解量子类系统中的认识学限制和可能性提供了一个框架.
- 通信协议在认识论的共识中起着至关重要的作用,即使在非经典的环境中也是如此.
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