踢和修复：量子控制的根源
Kick and fix: the roots of quantum control
摘要：
当两个算子$A$和$B$不对易时，指数算子$e^{A+B}$的计算是一个困难而关键的问题。应用是广泛和多样化的：仅举几个例子，量子进化，产品配方，量子控制，芝诺效应。后者对量子应用和量子技术非常感兴趣。我们在这里提出的结果和技术的历史调查，并讨论的差异和相似之处。我们还强调了与强耦合制度的联系，通过绝热定理，并认为，“脉冲”和“连续”的配方不同，只有在两个限制采取的顺序，但同一枚硬币的两面。
英文摘要：
When two operators $A$ and $B$ do not commute, the calculation of the exponential operator $e^{A+B}$ is a difficult and crucial problem. The applications are vast and diversified: to name but a few examples, quantum evolutions, product formulas, quantum control, Zeno effect. The latter are of great interest in quantum applications and quantum technologies. We present here a historical survey of results and techniques, and discuss differences and similarities. We also highlight the link with the strong coupling regime, via the adiabatic theorem, and contend that the "pulsed" and "continuous" formulations differ only in the order by which two limits are taken, and are but two faces of the same coin.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
