论文标题
物质连贯性在重力引起的纠缠中的作用
Role of matter coherence in entanglement due to gravity
论文作者
论文摘要
我们根据量子对象的相干性研究重力的量子性质。作为基本设置，我们将两个引诱物体以两个路径的叠加状态为单位。物体的演变由具有人口保护特性的完全积极和痕量保护（CPTP）图来描述。该属性反映出对象存在于每个路径上的概率。我们使用$ \ ell_1 $ - 连贯性来量化对象的连贯性。在本文中，重力的量子性质的特征是纠缠图，该图是具有创建纠缠能力的CPTP图。我们介绍了纠缠映射的证人，作为测试给定地图是否纠缠的可观察的。我们表明，每当引力物体最初具有有限数量的$ \ ell_1 $ - 连贯性时，证人都会由于重力而纠缠的地图。有趣的是，我们发现证人可以测试重力的量子性质，即使物体没有纠缠。这意味着引力物体的连贯性始终成为由于重力而引起的纠缠图的来源。我们进一步讨论了当前方法中的破坏效果和实验观点。
We investigate the quantum nature of gravity in terms of the coherence of quantum objects. As a basic setting, we consider two gravitating objects each in a superposition state of two paths. The evolution of objects is described by the completely positive and trace-preserving (CPTP) map with a population-preserving property. This property reflects that the probability of objects being on each path is preserved. We use the $\ell_1$-norm of coherence to quantify the coherence of objects. In the present paper, the quantum nature of gravity is characterized by an entangling map, which is a CPTP map with the capacity to create entanglement. We introduce the entangling-map witness as an observable to test whether a given map is entangling. We show that, whenever the gravitating objects initially have a finite amount of the $\ell_1$-norm of coherence, the witness tests the entangling map due to gravity. Interestingly, we find that the witness can test such a quantum nature of gravity, even when the objects do not get entangled. This means that the coherence of gravitating objects always becomes the source of the entangling map due to gravity. We further discuss a decoherence effect and an experimental perspective in the present approach.
