论文标题
在紧急时空场景中纠缠系统的相对距离
On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios
论文作者
论文摘要
纠缠中的时空出现提出了量化重力的替代方案,通常会根据跨子系统共享的相互信息数量得出距离的概念。尽管很有希望,但该程序仍然面临着描述简单物理系统的挑战,例如一对最大的纠缠钟对,在保留其纠缠时被拆开。我们提出了解决此问题的解决方案:提醒量子系统可以具有独立自由度的多个部门,并且每个部门都可以纠缠。因此,尽管一个部门可以破坏并减少系统中的总互信息的数量,但另一个部门,例如旋转,可以保持纠缠。我们使用玩具模型来说明这一点,表明只有在颗粒的动量不确定性中,只有单个钟形对的旋转部门才有更多的纠缠。我们通过介绍一些有关将来如何在实验室中测试时空测试的考虑来结束。
Spacetime emergence from entanglement proposes an alternative to quantizing gravity and typically derives a notion of distance based on the amount of mutual information shared across sub-systems. Albeit promising, this program still faces challenges to describe simple physical systems, such as a maximally entangled Bell pair that is taken apart while preserving its entanglement. We propose a solution to this problem: a reminder that quantum systems can have multiple sectors of independent degrees of freedom, and that each sector can be entangled. Thus, while one sector can decohere, and decrease the amount of total mutual information within the system, another sector, e.g. spin, can remain entangled. We illustrate this with a toy model, showing that only within the particles' momentum uncertainty there can be considerably more entanglement than in the spin sector for a single Bell pair. We finish by introducing some considerations about how spacetime could be tested in the lab in the future.