论具有测量不完美性的非破坏量子轨迹的渐近稳定性
On Asymptotic Stability of Non-Demolition Quantum Trajectories with Measurement Imperfections
AI总结：
本文研究了在测量不完美条件下量子非破坏轨迹的渐近稳定性，给出了确保估计轨迹向真实轨迹收敛的条件，并通过数值仿真验证，同时探讨了退相干下由新Kraus算子描述的更一般情况。
摘要：
我们考虑经历量子非破坏不完美测量的量子轨迹的渐近稳定性问题，即估计轨迹向参数和初始状态不一定已知的真实轨迹的收敛。我们给出了估计初始状态的条件以及估计参数的有效区域，以确保这种收敛。我们通过物理示例[1]的数值仿真说明了这些结果，并讨论了退相干作用于系统的更现实一般情况下的渐近稳定性。在这种情况下，演化由不满足量子非破坏性质的新Kraus算子描述。
英文摘要：
We consider the question of asymptotic stability of quantum trajectories undergoing quantum non-demolition imperfect measurement, that is to say the convergence of the estimated trajectory towards the true trajectory whose parameters and initial state are not necessarily known. We give conditions on the estimated initial state and regions of validity for the estimated parameters so that this convergence is ensured. We illustrate these results through numerical simulations on the physical example [1] and discuss the asymptotic stability for a more realistic general case where decoherence acts on the system. In this case, the evolution is described by new Kraus operators which do not satisfy the quantum non-demolition property.
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