发表机构
School of Mathematics and Statistics, Henan University; School of Mathematical Sciences, Capital Normal University（河南大学数学与统计学院; 首都师范大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用迹距离、态粗糙度和Jensen-Shannon散度等量化子，研究量子速度极限与量子态纹理的关系，并分析退相、耗散及振幅阻尼信道下的最小演化时间，揭示其对量子演化速度的基本约束及应用潜力。
AI 中文摘要
量子速度极限对量子系统演化的最短时间尺度施加了内在的下界。作为量子资源理论中的一个新兴范式，量子态纹理在量子理论快速发展的背景下引起了研究兴趣。在此，我们通过几种典型的量化子（包括迹距离、态粗糙度和Jensen-Shannon散度）研究了量子速度极限与量子态纹理之间的相互作用。为了展示我们的发现，我们分析了受退相和耗散动力学影响的物理系统的最小演化时间。对于Jensen-Shannon散度，我们进一步探索了由完全正且迹保持映射描述的非幺正动力学，并以振幅阻尼信道作为典型例子。此外，我们探讨了在所考虑的动力学模型中这些界的紧致性。我们的结果表明，从量子态纹理导出的量子速度极限捕捉了量子演化速度的基本约束，在量子计算、量子控制和量子计量学中具有广阔的应用前景。
英文摘要
Quantum speed limits impose intrinsic lower bounds on the shortest time scale for quantum system evolution. As an emerging paradigm in quantum resource theory, quantum-state texture has attracted research interest amid the rapid advancement of quantum theory. Herein, we investigate the interplay between quantum speed limits and quantum-state texture via several canonical quantifiers, including trace distance, state rugosity and Jensen-Shannon divergence. To demonstrate our findings, we analyze the minimum evolution time of physical systems subject to dephasing and dissipative dynamics. For the Jensen-Shannon divergence, we further explore nonunitary dynamics described by completely positive and trace-preserving maps, taking the amplitude damping channel as a typical example. In addition, we explore the tightness of these bounds in the considered dynamical models. Our results reveal that quantum speed limits derived from quantum-state texture capture the fundamental constraints on quantum evolutionary speed, with promising applications in quantum computing, quantum control and quantum metrology.
Comments13 pages,4 figures
Journal refInternational Journal of Theoretical Physics, Volume 65, 278 (2026)
DOI：10.1007/s10773-026-06489-w
