Model Checking Quantum Continuous-Time Markov Chains
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929255183548416 |
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| author | Xu, Ming Mei, Jingyi Guan, Ji Yu, Nengkun |
| author_facet | Xu, Ming Mei, Jingyi Guan, Ji Yu, Nengkun |
| contents | Verifying quantum systems has attracted a lot of interests in the last decades. In this paper, we initialised the model checking of quantum continuous-time Markov chain (QCTMC). As a real-time system, we specify the temporal properties on QCTMC by signal temporal logic (STL). To effectively check the atomic propositions in STL, we develop a state-of-art real root isolation algorithm under Schanuel's conjecture; further, we check the general STL formula by interval operations with a bottom-up fashion, whose query complexity turns out to be linear in the size of the input formula by calling the real root isolation algorithm. A running example of an open quantum walk is provided to demonstrate our method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_00382 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Model Checking Quantum Continuous-Time Markov Chains Xu, Ming Mei, Jingyi Guan, Ji Yu, Nengkun Quantum Physics Logic in Computer Science Number Theory Verifying quantum systems has attracted a lot of interests in the last decades. In this paper, we initialised the model checking of quantum continuous-time Markov chain (QCTMC). As a real-time system, we specify the temporal properties on QCTMC by signal temporal logic (STL). To effectively check the atomic propositions in STL, we develop a state-of-art real root isolation algorithm under Schanuel's conjecture; further, we check the general STL formula by interval operations with a bottom-up fashion, whose query complexity turns out to be linear in the size of the input formula by calling the real root isolation algorithm. A running example of an open quantum walk is provided to demonstrate our method. |
| title | Model Checking Quantum Continuous-Time Markov Chains |
| topic | Quantum Physics Logic in Computer Science Number Theory |
| url | https://arxiv.org/abs/2105.00382 |