Cobucci Gabriele, Tavakoli Armin
Physics Department and NanoLund, Lund University, Box 118, 22100 Lund, Sweden.
Sci Adv. 2024 Sep 20;10(38):eadq4467. doi: 10.1126/sciadv.adq4467.
Complex forms of quantum entanglement can arise in two qualitatively different ways: either between many qubits or between two particles with higher-than-qubit dimension. While both the many-qubit frontier and the high-dimension frontier are well established, state-of-the-art quantum technology is becoming increasingly able to create and manipulate entangled states that simultaneously feature many particles and high dimension. Here, we investigate generic states that can be considered both genuinely high-dimensional and genuine multiparticle entangled. We consider a natural quantity that characterizes this key property. To detect it, we develop three different classes of criteria. These enable us both to probe the ultimate noise tolerance of this form of entanglement and to make detection schemes using sparse or even minimal measurement resources. The approach provides a simple way of benchmarking entanglement dimensionality in the multiparticle regime and general, platform-independent, detection methods that readily apply to experimental use.
要么在多个量子比特之间，要么在维度高于量子比特的两个粒子之间。虽然多量子比特前沿和高维度前沿都已得到充分确立，但最先进的量子技术越来越能够创建和操纵同时具有多个粒子和高维度特征的纠缠态。在这里，我们研究既可以被视为真正高维又真正多粒子纠缠的一般态。我们考虑一个表征这一关键特性的自然量。为了检测它，我们开发了三类不同的标准。这些标准使我们既能探究这种纠缠形式的最终噪声容忍度，又能使用稀疏甚至最少的测量资源制定检测方案。该方法提供了一种在多粒子体系中对纠缠维度进行基准测试的简单方法，以及易于应用于实验的通用、与平台无关的检测方法。
