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.

中文翻译：

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模型检查量子连续时间马尔可夫链

在过去的几十年中，验证量子系统引起了很多兴趣。在本文中，我们初始化了量子连续时间马尔可夫链（QCTMC）的模型检查。作为实时系统，我们通过信号时间逻辑（STL）在QCTMC上指定时间属性。为了有效地检查STL中的原子命题，我们在Schanuel的猜想下开发了一种最新的实根隔离算法。此外，我们通过自下而上的方式通过间隔运算来检查一般的STL公式，通过调用实根隔离算法，其查询复杂度在输入公式的大小上是线性的。提供了一个开放式量子行走的运行示例来演示我们的方法。