D'Alessandro Nicola, Carceller Carles Roch I, Tavakoli Armin
Lund University, Physics Department and NanoLund, Box 118, 22100 Lund, Sweden.
Phys Rev Lett. 2025 Mar 7;134(9):090802. doi: 10.1103/PhysRevLett.134.090802.
We introduce semidefinite programming hierarchies for benchmarking relevant entanglement properties in the high-dimensional steering scenario. Firstly, we provide a general method for detecting the entanglement dimensionality through certification of the Schmidt number. Its key feature is that the computational cost is independent of the Schmidt number under consideration. Secondly, we provide a method to estimate the fidelity of the source with any maximally entangled state. Using only basic computational means, we demonstrate the usefulness of these methods, which can be directly used to analyze experiments on high-dimensional systems.
我们引入半定规划层次结构，用于在高维导引场景中对相关纠缠特性进行基准测试。首先，我们通过施密特数的认证提供了一种检测纠缠维度的通用方法。其关键特性是计算成本与所考虑的施密特数无关。其次，我们提供了一种估计源与任何最大纠缠态之间保真度的方法。仅使用基本的计算手段，我们证明了这些方法的实用性，它们可直接用于分析高维系统的实验。
