基于公理化原理的自动时钟
Autonomous Ticking Clocks from Axiomatic Principles
摘要：
有许多不同类型的计时装置。我们用滴答滴答的时钟来描述那些--简单地说--以大致规则的间隔“滴答”的时钟。对于滴答作响的时钟，已经得出了各种重要的结果，还有更多的结果正在酝酿之中。因此，重要的是要了解这些结果所依据的基本模型。本文的目的是引入一个新的滴答作响的时钟模型，从公理化原则，克服了社会上的关注的物理性的假设，在以前的模型。[arXiv：1806.00491]中的滴答时钟模型实现了高精度，但缺乏[10.1103/PhysRevX.7.031022]中精度较低的模型的自主性。重要的是，我们在这里介绍的模型实现了两个模型的最佳效果：它保留了[10.1103/PhysRevX.7.031022]的自治性，同时允许[arXiv：1806.00491]的高精度。更重要的是，[10.1103/PhysRevX.7.031022]被揭示为新滴答时钟模型的特例。
英文摘要：
There are many different types of time keeping devices. We use the phrase ticking clock to describe those which -- simply put -- "tick" at approximately regular intervals. Various important results have been derived for ticking clocks, and more are in the pipeline. It is thus important to understand the underlying models on which these results are founded. The aim of this paper is to introduce a new ticking clock model from axiomatic principles that overcomes concerns in the community about the physicality of the assumptions made in previous models. The ticking clock model in [arXiv:1806.00491] achieves high accuracy, yet lacks the autonomy of the less accurate model in [10.1103/PhysRevX.7.031022]. Importantly, the model we introduce here achieves the best of both models: it retains the autonomy of [10.1103/PhysRevX.7.031022] while allowing for the high accuracies of [arXiv:1806.00491]. What is more, [10.1103/PhysRevX.7.031022] is revealed to be a special case of the new ticking clock model.
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