论文标题
时间量子相关性通常是非一体性的吗?
Are temporal quantum correlations generally non-monogamous?
论文作者
论文摘要
在本文中,我们着重于时间相关的潜在量子结构,并显示它们的特殊性质,使它们与空间量子相关性区分开。我们严格地表明,可以与量子传播器相关联的特定纠缠历史是一夫一妻制的,可以在整个时间内保持其一致性。然而,不断发展的系统违反了一夫一妻制的多次不平等现象。这种二分法是时间相关性的新特征,它的根源是测量过程本身,通过一系列纠缠史的束缚进行了讨论。我们介绍并讨论了量子过程的概率混合物的概念,我们阐明了为什么进一步违反了类似空间的铃铛型一夫一妻制的不平等现象。我们证明,tsirelson绑定在时间钟形的不平等上,可以从纠缠的历史方法中得出,并且作为概括,我们得出了用于多时间钟形不平等的量子。还指出,模仿违反暂时纠缠的一夫一妻制实际上只是一种及时的一夫多妻制,但对特定进化的纠缠一夫一妻制仍然存在。
In this paper we focus on the underlying quantum structure of temporal correlations and show their peculiar nature which differentiate them from spatial quantum correlations. We show rigorously that a particular entangled history, which can be associated with a quantum propagator, is monogamous to conserve its consistency throughout time. Yet evolving systems violate monogamous Bell-like multi-time inequalities. This dichotomy, being a novel feature of temporal correlations, has its roots in the measurement process itself which is discussed by means of the bundles of entangled histories. We introduce and discuss a concept of a probabilistic mixture of quantum processes by means of which we clarify why the spatial-like Bell-type monogamous inequalities are further violated. We prove that Tsirelson bound on temporal Bell-like inequalities can be derived from the entangled histories approach and as a generalization, we derive the quantum bound for multi-time Bell-like inequalities. It is also pointed out that what mimics violation of monogamy of temporal entanglement is actually just a kind of polyamory in time but monogamy of entanglement for a particular evolution still holds.