标题： 通过利用纠缠的反对称性来测量纠缠 显示英文标题

标题： Measuring Entanglement by Exploiting its Anti-symmetric Nature

摘要： 尽管实验量子科学取得了显著进展，测量纠缠熵仍然具有挑战性。 通过几何视角，我们揭示了纠缠的内在反对称性质。 我们证明大多数纠缠度量，如冯·诺依曼熵和Renyi熵，可以表示为外积形式，这些外积本质上是反对称的。 利用这一点，我们提出利用费米子的反对称性质来高效测量纠缠熵，提供了一种资源高效的探测双部分纠缠的方法。 显示英文摘要

摘要： Despite significant progress in experimental quantum sciences, measuring entanglement entropy remains challenging. Through a geometric perspective, we reveal the intrinsic anti-symmetric nature of entanglement. We prove that most entanglement measures, such as von Neumann and Renyi entropies, can be expressed in terms of exterior products, which are fundamentally anti-symmetric. Leveraging this, we propose utilizing the anti-symmetric nature of fermions to measure entanglement entropy efficiently, offering a resource-efficient approach to probing bipartite entanglement.