Measuring Entanglement by Exploiting its Anti-symmetric Nature

Peyman Azodi; Benjamin Lienhard; Herschel A. Rabitz

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arXiv · 2409.17236

Measuring Entanglement by Exploiting its Anti-symmetric Nature

Peyman Azodi·Benjamin Lienhard·Herschel A. Rabitz

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Abstract

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.

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Peyman Azodi, Benjamin Lienhard, Herschel A. Rabitz. 2024-09-25. Measuring Entanglement by Exploiting its Anti-symmetric Nature. https://arxiv.org/abs/2409.17236

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