微管色氨酸网络中的量子信息流
Quantum Information Flow in Microtubule Tryptophan Networks
AI总结：
研究微管色氨酸网络中量子信息流的机制，通过非厄米特哈密顿量和利普曼主方程分析信息传播与相关性耗散，揭示初始制备对信息方向和持续性的影响。
摘要：
微管内的芳香氨基酸残基网络，特别是由色氨酸形成的网络，可能作为光学信息流的路径。这些网络中的紫外激发动力学通常用有效的非厄米特哈密顿量进行建模。通过将这种方法扩展到一个包含显式站点几何和偶极子取向的利普曼主方程中，我们跟踪了相关性是如何生成、路由和耗散的，同时捕捉了耦合色氨酸之间的能量耗散和信息传播。我们比较了局部注入、完全非局域制备和基于本征模式的初始状态。为了量化新兴的量子信息结构，我们评估了相干的L1范数、相关相干性和相关性内的对数负性。结果表明，信息流的方向和持续时间都强烈依赖于初始制备的类型。超辐射成分驱动相关性快速导出到环境，而亚辐射成分保留它们并减缓其泄漏。将单个管蛋白单元嵌入更大的二聚体和螺旋中会重塑成对相关图并启用站点选择性路由。扩展到更大的有序晶格会加强导出和保留通道，而静态能量和结构的无序会抑制长距离传输并减少整体相关性转移。这些发现提供了一个利普曼图像的信息流在细胞骨架色氨酸网络中的情况，并识别了在微管中暂时保持非经典相关性的结构和动态条件。
英文摘要：
Networks of aromatic amino acid residues within microtubules, particularly those formed by tryptophan, may serve as pathways for optical information flow. Ultraviolet excitation dynamics in these networks are typically modeled with effective non-Hermitian Hamiltonians. By extending this approach to a Lindblad master equation that incorporates explicit site geometries and dipole orientations, we track how correlations are generated, routed, and dissipated, while capturing both energy dissipation and information propagation among coupled chromophores. We compare localized injections, fully delocalized preparations, and eigenmode-based initial states. To quantify the emerging quantum-informational structure, we evaluate the $L_1$ norm of coherence, the correlated coherence, and the logarithmic negativity within and between selected chromophore sub-networks. The results reveal a strong dependence of both the direction and persistence of information flow on the type of initial preparation. Superradiant components drive the rapid export of correlations to the environment, whereas subradiant components retain them and slow their leakage. Embedding single tubulin units into larger dimers and spirals reshapes pairwise correlation maps and enables site-selective routing. Scaling to larger ordered lattices strengthens both export and retention channels, whereas static energetic and structural disorder suppresses long-range transport and reduces overall correlation transfer. These findings provide a Lindbladian picture of information flow in cytoskeletal chromophore networks and identify structural and dynamical conditions that transiently preserve nonclassical correlations in microtubules.
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