Institutional Repository of Coll Sci
| Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises | |
Chen, Jinshu ; Hai, Shexiang
| |
| 2023-07-27 | |
| Early Access Date | 2023-07 |
| Source Publication | INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
 |
| ISSN | 0219-0257 ; 1793-6306 |
| Abstract | Quantum exclusion semigroup constructed form quantum Bernoulli noises can be written on diagonal and off-diagonal operators space, respectively. The diagonal parts describe a classical Markov process. In this paper, we first produce a decomposition into the sum of irreducible components determined by the class states of the associated classical Markov process and prove that each irreducible component is recurrent or transient if and only if its diagonal restriction is recurrent or transient. We then give conditions for existence of invariant states and study properties of invariant states such as detailed balance, uniqueness and convergence towards as time approaches infinity. |
| Keyword | Quantum Markov semigroup quantum Bernoulli noise recurrence transience invariant state |
| DOI | 10.1142/S021902572350011X |
| Indexed By | SCIE |
| Language | 英语 |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Quantum Science & Technology ; Physics, Mathematical ; Statistics & Probability |
| WOS ID | WOS:001036931100001 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Original literature type | Article;Early Access |
| Citation statistics |
Cited Times [WOS]:0
[WOS Record]
[Related Records in WOS]
|
| Document Type | 期刊论文 |
| Identifier | https://ir.lut.edu.cn/handle/2XXMBERH/166166 |
| Collection | 理学院 |
| Corresponding Author | Chen, Jinshu |
| Affiliation | Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China |
| First Author Affilication | Coll Sci |
| Corresponding Author Affilication | Coll Sci |
| First Signature Affilication | Coll Sci |
| Recommended Citation GB/T 7714 | Chen, Jinshu,Hai, Shexiang. Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,2023. |
| APA | Chen, Jinshu,&Hai, Shexiang.(2023).Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. |
| MLA | Chen, Jinshu,et al."Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS (2023). |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment