A Unified Toolbox for Multipartite Entanglement Certification

Fuente: arXiv
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Main Authors: Liu, Ye-Chao, Halbey, Jannis, Pokutta, Sebastian, Designolle, Sébastien
Format: Preprint
Published: 2025
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author Liu, Ye-Chao
Halbey, Jannis
Pokutta, Sebastian
Designolle, Sébastien
author_facet Liu, Ye-Chao
Halbey, Jannis
Pokutta, Sebastian
Designolle, Sébastien
contents We present a unified framework for multipartite entanglement characterization based on the conditional gradient (CG) method, incorporating both fast heuristic detection and rigorous witness construction with numerical error control. Our method enables entanglement certification in quantum systems of up to ten qubits and applies to arbitrary entanglement structures. We demonstrate its power by closing the gap between entanglement and separability bounds in white noise robustness benchmarks for a class of bound entangled states. Furthermore, the framework extends to entanglement robustness under general quantum noise channels, providing accurate thresholds in cases beyond the reach of previous algorithmic methods. These results position CG methods as a powerful tool for practical and scalable entanglement analysis in realistic experimental settings.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17435
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Unified Toolbox for Multipartite Entanglement Certification
Liu, Ye-Chao
Halbey, Jannis
Pokutta, Sebastian
Designolle, Sébastien
Quantum Physics
Optimization and Control
We present a unified framework for multipartite entanglement characterization based on the conditional gradient (CG) method, incorporating both fast heuristic detection and rigorous witness construction with numerical error control. Our method enables entanglement certification in quantum systems of up to ten qubits and applies to arbitrary entanglement structures. We demonstrate its power by closing the gap between entanglement and separability bounds in white noise robustness benchmarks for a class of bound entangled states. Furthermore, the framework extends to entanglement robustness under general quantum noise channels, providing accurate thresholds in cases beyond the reach of previous algorithmic methods. These results position CG methods as a powerful tool for practical and scalable entanglement analysis in realistic experimental settings.
title A Unified Toolbox for Multipartite Entanglement Certification
topic Quantum Physics
Optimization and Control
url https://arxiv.org/abs/2507.17435