量子系统在从初始状态到最终状态的演化过程中，通常会经历许多不同的路径。一般来说，可能的路径将取决于未来和过去的边界条件，以及系统的动态。我们提出了一个gedanken实验，一个单一的系统显然遵循互斥的路径同时，每个概率为1，这取决于测量进行。这个实验涉及测量不符合厄米算符的可观测量。我们的主要结果是测量这些运营商的计划。该方案基于擦除协议[Phys. Rev. Lett. 116，070404（2016），arXiv：1409.1575]，并且允许在弱极限和强极限下进行大范围的连续测量。在弱极限下，测量的反向作用不能用来解释令人惊讶的行为，由此产生的弱值提供了对系统过去的一致但奇怪的解释。
英文摘要：
Quantum systems usually travel a multitude of different paths when evolving through time from an initial to a final state. In general, the possible paths will depend on the future and past boundary conditions, as well as the system's dynamics. We present a gedanken experiment where a single system apparently follows mutually exclusive paths simultaneously, each with probability one, depending on which measurement was performed. This experiment involves the measurement of observables that do not correspond to Hermitian operators. Our main result is a scheme for measuring these operators. The scheme is based on the erasure protocol [Phys. Rev. Lett. 116, 070404 (2016), arXiv:1409.1575] and allows a wide range of sequential measurements at both the weak and strong limits. At the weak limit the back action of the measurement cannot be used to account for the surprising behavior and the resulting weak values provide a consistent yet strange account of the system's past.
Lund University（隆德大学）；University of Jyväskylä（于韦斯屈莱大学）；Technical University of Denmark（丹麦技术大学）；Korea Advanced Institute of Science and Technology (KAIST)（韩国科学技术院）
Bias Analysis and Regularization of Sequential Minimal Optimization in Variational Quantum Eigensolvers
Berlin Institute for the Foundations of Learning and Data BIFOLD（柏林学习与数据基础研究所）；Technische Universität Berlin（柏林工业大学）；Padova University（帕多瓦大学）；Deutsches Elektronen-Synchrotron DESY（德国电子同步加速器中心）；Computation-Based Science and Technology Research Center, The Cyprus Institute（塞浦路斯研究所计算科学与技术研究中心）；RIKEN AIP（理化学研究所先进智能计算中心）
An efficient method for spot-checking quantum properties with sequential trials
Oak Ridge National Laboratory（橡树岭国家实验室）；University of Colorado, Boulder（科罗拉多大学博尔德分校）；National Institute of Standards and Technology（美国国家标准与技术研究院）；Center for Theory of Quantum Matter（量子物质理论中心）
