Information Dynamics In Open Quantum Systems

量子光学中最近的理论工作揭示了测量和退相干之间的深层联系，这可以被理解为信息和熵之间联系的动力学对应物。 这一进展在很大程度上是由量子轨道理论实现的，我们试图通过实验来验证。 要做到这一点，我们将首先实现和定量测试两种先进的方法，实时量子测量（自适应零差检测和量子卡尔曼滤波），这是量子轨道理论的基础上推导出来的。 然后，我们将利用这些技术在实验中对扰动的敏感性，量化的信息量，必须不断收集有关环境扰动，以保持系统的熵低于一个固定值。 量子轨道理论提供了一个基础来预测这个量应该如何随着观察到的系统动力学的复杂性而变化。

Recent theoretical work in quantum optics has revealed deep connections between measurement and decoherence, which may be understood as dynamical counterparts of the connection between information and entropy. This progress has largely been enabled by quantum trajectory theory, which we seek to verify experimentally. To do so we will first implement and test quantitatively two advanced methods for real-time quantum measurement (adaptive homodyne detection and quantum Kalman filtering), which havebeen derived on the basis of quantum trajectory theory. We will then utilize these techniques in experiments on hypersensitivity to perturbations, quantifying the amount of information that must continuously be gathered about environmental perturbations to keep the entropy of a system below a fixed value. Quantum trajectory theory provides a basis for predicting how this quantity should vary with the complexity of the observed system's dynamics.