Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises

doi:10.1038/s41598-024-77484-6

	Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises
	Ren, Suling1 ; Zhang, Lixia2
	2024-11-02
发表期刊	SCIENTIFIC REPORTS
卷号	14 期号:1
摘要	Quantum Bernoulli noises are the family of annihilation and creation operators on Bernoulli functionals, which satisfy a canonical anti-commutation relation in equal time. The paper is devoted to the study of Quantum Exclusion Process driven by Brownian Motions in terms of Quantum Bernoulli Noises. We first study the existence and uniqueness of regular solutions to the classical Quantum Exclusion Process driven by Brownian Motions. We then provide an explicit representation formula by separating the action on off-diagonal and diagonal operators, on which they are reduced to the Quantum Exclusion Process of classical Markov chains. Finally, we prove that the existence of regular invariant measures for Quantum Exclusion Process driven by Brownian Motions in terms of Quantum Bernoulli Noises.
DOI	10.1038/s41598-024-77484-6
收录类别	SCIE
ISSN	2045-2322
语种	英语
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:001346701000001
出版者	NATURE PORTFOLIO
原始文献类型	Article
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/38336
专题	统计与数据科学学院会计学院
通讯作者	Ren, Suling
作者单位	1.Lanzhou Univ Finance & Econ, Sch Stat & Data Sci, Lanzhou 730020, Gansu, Peoples R China; 2.Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China
第一作者单位	兰州财经大学
通讯作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Ren, Suling,Zhang, Lixia. Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises[J]. SCIENTIFIC REPORTS,2024,14(1).
APA	Ren, Suling,&Zhang, Lixia.(2024).Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises.SCIENTIFIC REPORTS,14(1).
MLA	Ren, Suling,et al."Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises".SCIENTIFIC REPORTS 14.1(2024).