Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance

• URL: http://arxiv.org/abs/2503.09976v1
• Date: Thu, 13 Mar 2025 02:23:34 GMT
• Title: Quantifying Coherence and Genuine Multipartite Entanglement : A Framework Based on Witness Operators and Frobenius Norm Distance
• Authors: Mingyu Liu, Xian Shi,
• Abstract summary: Quantifying entanglement and coherence of quantum systems is a topic of significant theoretical and practical interest.<n>We propose a method to evaluate lower bounds for several widely used coherence measures and genuine multipartite entanglement measures.
• Score: 13.824909501338057
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: 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.

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