An Introductory Course on Quantum Mechanics

美国高校量子信息科学入门课程的内容覆盖情况

Introductory quantum information science coursework at US institutions: Content coverage

本文通过调查美国63名QISE入门课程教师，识别出至少80%课程共有的核心内容，并比较层次与学科差异，为课程和评估开发提供依据。

Analogous Patterns of Student Reasoning Difficulties in Introductory Physics and Upper-Level Quantum Mechanics

Very little is known about how the nature of expertise in introductory and advanced courses compares in knowledge-rich domains such as physics. We develop a framework to compare the similarities and differences between learning and patterns of student difficulties in introductory physics and quantum mechanics. Based upon our framework, we argue that the qualitative patterns of student reasoning difficulties in introductory physics bear a striking resemblance to those found for upper-level quantum mechanics. The framework can guide the design of teaching and learning tools.

Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks

The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes. These notes form the basis for a seven lecture course, introducing the basics of a range of common tensor networks and algorithms. In particular, we cover: introductory tensor network notation, applications to quantum information, basic properties of matrix product states, a classification of quantum phases usin…

量子计算入门课程中的项目式学习：一项关于医学成像量子算法的案例研究

Project-Based Learning in Introductory Quantum Computing Courses: A Case Study on Quantum Algorithms for Medical Imaging

本文通过 HHL 量子算法用于 CT 图像重建并与经典 ART 比较的课程项目案例，证明项目式学习能提升量子计算入门课程的概念理解与综合研究能力。

Chiral symmetries associated with angular momentum

In beginning quantum mechanics courses, symmetries of a physical system are usually introduced as operators which commute with the Hamiltonian. In this article we will consider chiral symmetries which anticommute with the Hamiltonian. Typically, introductory courses at the (under)graduate level do not discuss these simple, useful and beautiful symmetries at all. The first time a student typically encounters them is when the Dirac equation is discussed in a course on relativistic quantum mechanics, or when particle-hole symmetry is studied in the context of superconductivity. In this article, w…