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DOI: 10.4230/LIPIcs.CONCUR.2021.13
URN: urn:nbn:de:0030-drops-143908
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14390/
Xu, Ming ; Mei, Jingyi ; Guan, Ji ; Yu, Nengkun
Model Checking Quantum Continuous-Time Markov Chains
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Abstract
Verifying quantum systems has attracted a lot of interests in the last decades. In this paper, we initialise 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-the-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.
BibTeX - Entry
@InProceedings{xu_et_al:LIPIcs.CONCUR.2021.13,
author = {Xu, Ming and Mei, Jingyi and Guan, Ji and Yu, Nengkun},
title = {{Model Checking Quantum Continuous-Time Markov Chains}},
booktitle = {32nd International Conference on Concurrency Theory (CONCUR 2021)},
pages = {13:1--13:17},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-203-7},
ISSN = {1868-8969},
year = {2021},
volume = {203},
editor = {Haddad, Serge and Varacca, Daniele},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14390},
URN = {urn:nbn:de:0030-drops-143908},
doi = {10.4230/LIPIcs.CONCUR.2021.13},
annote = {Keywords: Model Checking, Formal Logic, Quantum Computing, Computer Algebra}
}
| Keywords: | Model Checking, Formal Logic, Quantum Computing, Computer Algebra | |
| Seminar: | 32nd International Conference on Concurrency Theory (CONCUR 2021) | |
| Issue date: | 2021 | |
| Date of publication: | 13.08.2021 |
