37,510 research outputs found
A Survey of Quantum Learning Theory
This paper surveys quantum learning theory: the theoretical aspects of
machine learning using quantum computers. We describe the main results known
for three models of learning: exact learning from membership queries, and
Probably Approximately Correct (PAC) and agnostic learning from classical or
quantum examples.Comment: 26 pages LaTeX. v2: many small changes to improve the presentation.
This version will appear as Complexity Theory Column in SIGACT News in June
2017. v3: fixed a small ambiguity in the definition of gamma(C) and updated a
referenc
Quantum Graph Learning : Frontiers and Outlook
Quantum theory has shown its superiority in enhancing machine learning. However, facilitating quantum theory to enhance graph learning is in its infancy. This survey investigates the current advances in quantum graph learning (QGL) from three perspectives, i.e., underlying theories, methods, and prospects. We first look at QGL and discuss the mutualism of quantum theory and graph learning, the specificity of graph-structured data, and the bottleneck of graph learning, respectively. A new taxonomy of QGL is presented, i.e., quantum computing on graphs, quantum graph representation, and quantum circuits for graph neural networks. Pitfall traps are then highlighted and explained. This survey aims to provide a brief but insightful introduction to this emerging field, along with a detailed discussion of frontiers and outlook yet to be investigated
Graduate Quantum Mechanics Reform
We address four main areas in which graduate quantum mechanics education can
be improved: course content, textbook, teaching methods, and assessment tools.
We report on a three year longitudinal study at the Colorado School of Mines
using innovations in all these areas. In particular, we have modified the
content of the course to reflect progress in the field in the last 50 years,
used textbooks that include such content, incorporated a variety of teaching
techniques based on physics education research, and used a variety of
assessment tools to study the effectiveness of these reforms. We present a new
assessment tool, the Graduate Quantum Mechanics Conceptual Survey, and further
testing of a previously developed assessment tool, the Quantum Mechanics
Conceptual Survey. We find that graduate students respond well to
research-based techniques that have been tested mainly in introductory courses,
and that they learn much of the new content introduced in each version of the
course. We also find that students' ability to answer conceptual questions
about graduate quantum mechanics is highly correlated with their ability to
solve calculational problems on the same topics. In contrast, we find that
students' understanding of basic undergraduate quantum mechanics concepts at
the modern physics level is not improved by instruction at the graduate level.Comment: accepted to American Journal of Physic
Teaching and understanding of quantum interpretations in modern physics courses
Just as expert physicists vary in their personal stances on interpretation in
quantum mechanics, instructors vary on whether and how to teach interpretations
of quantum phenomena in introductory modern physics courses. In this paper, we
document variations in instructional approaches with respect to interpretation
in two similar modern physics courses recently taught at the University of
Colorado, and examine associated impacts on student perspectives regarding
quantum physics. We find students are more likely to prefer realist
interpretations of quantum-mechanical systems when instructors are less
explicit in addressing student ontologies. We also observe contextual
variations in student beliefs about quantum systems, indicating that
instructors who choose to address questions of ontology in quantum mechanics
should do so explicitly across a range of topics.Comment: 18 pages, references, plus 2 pages supplemental materials. 8 figures.
PACS: 01.40.Fk, 03.65.-
A Review of Student Difficulties in Upper-Level Quantum Mechanics
Learning advanced physics, in general, is challenging not only due to the
increased mathematical sophistication but also because one must continue to
build on all of the prior knowledge acquired at the introductory and
intermediate levels. In addition, learning quantum mechanics can be especially
challenging because the paradigms of classical mechanics and quantum mechanics
are very different. Here, we review research on student reasoning difficulties
in learning upper-level quantum mechanics and research on students'
problem-solving and metacognitive skills in these courses. Some of these
studies were multi-university investigations. The investigations suggest that
there is large diversity in student performance in upper-level quantum
mechanics regardless of the university, textbook, or instructor and many
students in these courses have not acquired a functional understanding of the
fundamental concepts. The nature of reasoning difficulties in learning quantum
mechanics is analogous to reasoning difficulties found via research in
introductory physics courses. The reasoning difficulties were often due to
over-generalizations of concepts learned in one context to another context
where they are not directly applicable. Reasoning difficulties in
distinguishing between closely related concepts and in making sense of the
formalism of quantum mechanics were common. We conclude with a brief summary of
the research-based approached that take advantage of research on student
difficulties in order to improve teaching and learning of quantum mechanics
A new introductory quantum mechanics curriculum
The Institute of Physics New Quantum Curriculum consists of freely available
online learning and teaching materials (quantumphysics.iop.org) for a first
course in university quantum mechanics starting from two-level systems. This
approach immediately immerses students in inherently quantum mechanical aspects
by focusing on experiments that have no classical explanation. It allows from
the start a discussion of interpretive aspects of quantum mechanics and quantum
information theory. This article gives an overview of the resources available
at the IOP website. The core text is presented as around 80 articles
co-authored by leading experts that are arranged in themes and can be used
flexibly to provide a range of alternative approaches. Many of the articles
include interactive simulations with accompanying activities and problem sets
that can be explored by students to enhance their understanding. Much of the
linear algebra needed for this approach is part of the resource. Solutions to
activities are available to instructors. The resources can be used in a variety
of ways from supplements to existing courses to a complete programme.Comment: 10 pages, 2 figures, 1 table; submitted to the European Journal of
Physic
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