标题： 基于表示基依赖的$\boldsymbol{\ell^{p}_{w}}$-半范数的开放系统动力学的量子速度极限 显示英文标题

标题： Quantum Speed Limits For Open System Dynamics Based On Representation Basis Dependent $\boldsymbol{\ell^{p}_{w}}$-Seminorm

摘要： 我们报告了一类量子速限（QSLs），它们给出了初始状态和最终状态之间演化时间的下限，这些状态之间的分离由一种从加权$\ell^{p}_{w}$-半范数导出的与表示基相关的范数来描述。 这些QSL适用于有限维希尔伯特空间中的开放系统、封闭系统、时变系统或时不变系统。 它们也可以扩展到无限维系统。 关键的是，这些QSL适用于任意算子，而不仅仅是密度矩阵。 与现有的应用于纯态时不变哈密顿量演化、量子比特自发辐射、高保真门实现以及算子相干性或退相干的QSL相比，我们的QSL在大多数情况下表现出更高的紧致性，同时具有更大的普遍性，并且仍然保持计算效率。 显示英文摘要

摘要： We report a family of quantum speed limits (QSLs) that give evolution time lower bounds between an initial and a final state whose separation is described by a certain representation basis dependent norm derived from the weighted $\ell^{p}_{w}$-seminorm. These QSLs are applicable to open, closed, time-dependent, or time-independent systems in finite-dimensional Hilbert spaces. They can be extended to infinite-dimensional systems as well. Crucially, these QSLs are valid for arbitrary operators, not just density matrices. When compared to the existing QSLs applied to pure state time-independent Hamiltonian evolution, qubit spontaneous emission, high-fidelity gate implementation, and operator coherence or dephasing, ours consistently show improved sharpness in most cases, along with greater universality and still retaining computational efficiency.