量子測定・不確定性原理・弱値の研究

本学期主要研究了量子测量的概念性问题、量子态的实在性和弱测量的优越性。我们的主要研究领域包括反事实悖论和弱测量，伪认知理论和噪声诱导量子计量学。特别是，我们使用预选择和后选择以及弱测量技术研究了三箱悖论和Chesire猫悖论及其解决方案。我们提出了一个gadanken实验来测试这样的悖论使用自旋1原子。我们研究了弱测量和后选择策略是否比标准技术在估计小参数时提供更好的准确性。为此，我们使用初始探针作为混合状态，其中混合度由麦克斯韦-玻尔兹曼分布表征的初始制备的温度控制。我们还导出了两个交换幂等可观量在任意阶耦合下的联合弱值，并发现了一些有趣的结果，例如，一个指针可以提供一阶或二阶耦合所不能得到的联合弱值.我们还研究了最近的本体认识论的辩论。

In this tenure, we studied mostly conceptual issues of quantum measurement, reality of quantum state and metrological advantage of weak measurement. The main areas of our investigation involve counterfactual paradoxes and weak measurement, psi-epistemic theories and noise induced quantum metrology. In particular, we studied the three-box paradox and the Chesire cat paradox and their solution using the technique of pre- and post-selection and weak measurement. We proposed a gadanken experiment to test such paradoxes using spin-1 atoms. We investigated whether the weak measurement and post-selection strategy provides better accuracy in estimating a small parameter than the standard technique. For this, we used the initial probe as mixed states where the mixedness is controlled by the temperature of the initial preparation characterized by the Maxwell-Boltzmann distribution. We also derived joint weak values of two commuting idempotent observables for any order of coupling beyond the standard formalism of weak measurement, and found some interesting results, for instance, that a single pointer can provide the joint weak value which cannot be obtained for first or second order coupling. We also studied the recent ontic-epistemic debate.