由布朗运动所驱动的量子排除过程,以量子伯努利噪声为指导
1School of Statistics and Data Science, Lanzhou University of Finance and Economics, Lanzhou, 730020, Gansu, China. rslnwnu@163.com.
Scientific reports
|November 2, 2024
概括
本研究探讨了使用量子伯努利噪声的布朗运动驱动的量子排除过程. 它证明了这些量子过程的存在和解决方案的独特性以及正规的不变量测量.
科学领域:
- 量子物理学 量子物理学 是一种量子物理学.
- 随机过程 随机过程
- 数学物理学的数学物理.
背景情况:
- 量子伯努利噪声是满足正规反交换关系的伯努利函数的运算符.
- 量子排除过程是统计力学的一个基本模型.
研究的目的:
- 通过使用量子伯努利噪声来研究由布朗运动驱动的量子排除过程.
- 为了确定这个过程的存在和唯一的常规解决方案和不变的措施.
主要方法:
- 使用量子伯努利噪声来建模量子排除过程.
- 分析消灭和创建运算符的属性.
- 将操作员的操作分为离对角线和对角线的组件.
主要成果:
- 证明了由布朗运动驱动的量子排除过程的常规解决方案的存在和独特性.
- 为该过程推导出一个明确的表示公式.
- 证明了正规的不变量测量的存在.
结论:
- 该研究提供了一个全面的框架,用于理解由布朗运动通过量子伯努利噪声驱动的量子排除过程.
- 这些发现有助于量子随机过程理论及其应用.
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