论文标题
多颗粒单线状态不能最大程度地纠缠于两人
Multiparticle singlet states cannot be maximally entangled for the bipartitions
论文作者
论文摘要
探索多片纠缠的一种方法是要求对不同的两人进行最大的纠缠，从而导致绝对最大的纠缠状态或完美的张量。不同的路径使用单位不变性和对称性，从而导致多粒单线状态的概念。我们表明，这两个概念在某种意义上是不兼容的，因为纯多粒子单线状态的空间不包含任何两个粒子的分区与其他粒子的所有分区的最大纠结状态。这构成了量子代码的构建的限制，并在ADS/CFT对应关系和量子重力的背景下有助于讨论。
One way to explore multiparticle entanglement is to ask for maximal entanglement with respect to different bipartitions, leading to the notion of absolutely maximally entangled states or perfect tensors. A different path uses unitary invariance and symmetries, resulting in the concept of multiparticle singlet states. We show that these two concepts are incompatible in the sense that the space of pure multiparticle singlet states does not contain any state for which all partitions of two particles versus the rest are maximally entangled. This puts restrictions on the construction of quantum codes and contributes to discussions in the context of the AdS/CFT correspondence and quantum gravity.
