Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908491274256384 |
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| author | Liu, Mingyu Shi, Xian |
| author_facet | Liu, Mingyu Shi, Xian |
| contents | Quantifying the entanglement and coherence of quantum systems is a topic of significant theoretical and practical interest. In this paper, we propose a method to evaluate lower bounds for several widely used coherence measures and genuine multipartite entanglement (GME) measures. Our approach, which is resource-efficient and computationally feasible, provides bounds of coherence and GME measures with the help of witnesses by the F-norm. Finally, we present a practical framework for estimating these quantum resources in various physical scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09976 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance Liu, Mingyu Shi, Xian Quantum Physics Quantifying the entanglement and coherence of quantum systems is a topic of significant theoretical and practical interest. In this paper, we propose a method to evaluate lower bounds for several widely used coherence measures and genuine multipartite entanglement (GME) measures. Our approach, which is resource-efficient and computationally feasible, provides bounds of coherence and GME measures with the help of witnesses by the F-norm. Finally, we present a practical framework for estimating these quantum resources in various physical scenarios. |
| title | Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.09976 |