论文标题
基于浓缩纠缠的多部分相关的层次结构
A Hierarchy of Multipartite Correlations Based on Concentratable Entanglement
论文作者
论文摘要
多部分纠缠是量子力学的标志之一，是量子信息处理的核心。在这项工作中，我们表明，浓缩的纠缠（CE）是一种以操作动机的纠缠措施，可以对可以从中获得不同纠缠结构的纯净状态进行层次结构。特别是，我们发现几乎所有真正的多部分纠缠状态都可以通过CE验证。在此过程中，我们发现CE和相应状态的确切最大值最多为18 QUAT，并表明这些对应于极端量子误差校正代码。后者使我们能够在CE和编码理论之间建立深厚的联系。最后，我们的结果还提供了另一种证据，最多31吨，绝对最大的纠缠状态不存在。
Multipartite entanglement is one of the hallmarks of quantum mechanics and is central to quantum information processing. In this work we show that Concentratable Entanglement (CE), an operationally motivated entanglement measure, induces a hierarchy upon pure states from which different entanglement structures can be certified. In particular, we find that nearly all genuine multipartite entangled states can be verified through CE. In the process we find the exact maximal value of CE and corresponding states for up to 18 qubits and show that these correspond to extremal quantum error correcting codes. The latter allows us to unravel a deep connection between CE and coding theory. Finally, our results also offer an alternative proof, on up to 31 qubits, that absolutely maximally entangled states do not exist.
