量子递归与稳定性

Applying classical control techniques to quantum systems: entanglement versus stability margin and other limitations

Development of robust quantum control has been challenging and there are numerous obstacles to applying classical robust control to quantum system including bilinearity, marginal stability, state preparation errors, nonlinear figures of merit. The requirement of marginal stability, while not satisfied for closed quantum systems, can be satisfied for open quantum systems where Lindbladian behavior leads to non-unitary evolution, and allows for nonzero classical stability margins, but it remains difficult to extract physical insight when classical robust control tools are applied to these system…

平面上Hadamard游动的常返性

On the Recurrence Character of the Hadamard walk in the Plane

我们研究了正方形格点上的返回原点问题，并研究了有偏置时Hadamard行走的稳定性。

双玻色子系统的时间周期性与动力学稳定性

Time periodicity and dynamical stability in two-boson systems

我们计算了由两个相互作用玻色子组成的动力系统的递归周期。讨论了与此问题有关的一些理论问题，特别是小周期性的条件。以这种方式收集的知识，然后使用提出一个概念的动态稳定性的基础上的稳定性的时期。动态仿真结果表明，与所提出的方案有很好的一致性。我们还将结果应用于被称为相干布居捕获的现象，并找到在这种特定情况下的稳定条件。

Information versus stability in an anti-de Sitter black hole

Information entropies associated with the energy density in position and momentum spaces are build for an anti-de Sitter (AdS) black hole. These quantities, that satisfy an entropic uncertainty relation, vary with the temperature. The higher is the black hole temperature, the greater/smaller is the information encoded respectively in the position/momentum distributions of energy. On the other hand, as it is well know, AdS black holes are subject to the Hawking Page phase transition. The amplitude for dominance of the black hole phase over the thermal AdS phase increases with the temperature. S…

碎片化能量态热化与长程模型中鲁棒的积分性

Fragmented eigenstate thermalization versus robust integrability in long-range models

研究长程模型中积分性稳定性，揭示非广泛、广泛单体和广泛双体扰动对热化的影响，提出基于对称性的框架解释积分性稳定性。

动力系统量子计算中的经典与量子误差

Classical versus quantum errors in quantum computation of dynamical systems

我们分析了一个量子算法的稳定性模拟系统的量子动力学与不同的制度，从全局混沌可积性。我们比较，在这些不同的制度，量子运动的保真度的行为时，系统的参数被扰动，或当有酉错误的量子门实现量子算法。第一类误差有经典极限，而第二类误差没有经典极限。它表明，而在第一种情况下（“经典错误”）的保真度的衰减是非常敏感的动力学制度，在第二种情况下（“量子错误”），它几乎是独立的模拟系统的动力学行为。因此，在“经典”扰动下量子运动稳定性研究中发现的丰富多样的行为与自然扰动下量子计算的保真度没有对应关系。特别是，在后一种情况下，它是不可能恢复的半经典制度，其中的保真度衰减率由经典的李雅普诺夫指数。