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基于M矩阵的中子-质子散射中的量子信息

Quantum information in neutron-proton scattering from the $M$ matrix

Linjun Xie, Jinniu Hu, Ying Zhang, Hong Shen

arXiv 2608.30356首次发表:更新:

发表机构

Nankai University; Shenzhen Research Institute of Nankai University; Tianjin University(南开大学; 南开大学深圳研究院; 天津大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究在M矩阵框架下,分析四类输入态对中子-质子散射中自旋关联及量子信息度量的影响,拓展了相关研究并揭示了输入态与散射动力学的相互作用机制。

AI 中文摘要

我们在自旋空间的M矩阵框架下研究中子-质子散射的量子信息方面。考虑四类代表性输入态,即对角混合态、可分离纯态、一般两qubit纯态以及一类特殊的类施密特纠缠子类。对每一类,在相对动量-散射角平面上计算系综平均的输出互信息、约化态线性熵、负性以及几何量子失谐。结果表明,出射自旋关联由散射运动学和入射量子系综的结构共同决定。具有更强内禀相干性或纠缠的输入态,会使互信息、负性和几何量子失谐的最大值更大、最小值更高。互信息和几何失谐的增强区域依赖于输入态,而负性最大值仍集中在高动量后向散射区域。这些结果拓展了早期基于乘积态纠缠能力的研究,并提供了一种基于系综的描述,说明中子-质子散射中的自旋关联如何由输入态结构与散射动力学的相互作用产生。

英文摘要

We study quantum-information aspects of neutron--proton scattering in the spin-space $M$-matrix framework. Four representative classes of input states are considered, namely diagonal mixed states, separable pure states, general two-qubit pure states, and a special Schmidt-like entangled subclass. For each class, ensemble-averaged output mutual information, reduced-state linear entropy, negativity, and geometric quantum discord are calculated in the relative momentum-- scattering angle plane. The results show that the outgoing spin correlations are governed jointly by scattering kinematics and by the structure of the incoming quantum ensemble. Input states with stronger intrinsic coherence or entanglement give larger maxima and higher minima in the mutual information, negativity, and geometric quantum discord. The enhanced regions of the mutual information and geometric discord depend on the input states, while the negativity maximum remains concentrated in the high-momentum backward-scattering region. These results extend earlier studies based on product-state entanglement power and provide an ensemble-based description of how spin correlations in neutron--proton scattering arise from the interplay between input-state structure and scattering dynamics.

Comments24 pages, 4 figures, 1 table, has been accepted by Physical Review C

论文原文

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