一、課程說明(Course Description)

This is an introductory course to quantum information. With a highly
interdisciplinary nature of this course, background materials in quantum
mechanics, mathematical tools, computer science, and electrical engineering will
be introduced. Topics include quantum entanglement, quantum computation, and
quantum communications. The most important requirement for students taking this
course is a certain level of mathematical maturity and the curiosity to learn
about quantum information.

二、指定用書(Text Books)

Lecturenotes and reading assignment.

三、參考書籍(References)

1. D.A.B. Miller, Quantum Mechanics for Scientists and Engineers. New York:
Cambridge University Press, 2008.
2. J.S. Townsend, A Modern Approach tp Quantum Mechanics, 2nd edn. Mill
Valley, CA: University Science Books, 2012.
3. R. Shankar, Principles of Quantum Mechanics, 2nd edn. New York: Plenum
Press, 1994.
4. W. Rudin, Real and Complex Analysis, 3rd edn. Boston, MA: McGraw-Hill,
1986.
5. W. Rudin, Functional Analysis, 2nd edn. Boston, MA: McGraw-Hill, 1991.
6. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum
Information. New York: Cambridge University Press, 2000.
7. M.M. Wilde, Quantum Information Theory. New York: Cambridge University
Press, 2013.

四、教學方式(Teaching Method)

A brief of mathematical materials needed to describe the basic principles of
quantum mechanics and the related concepts in quantum information will be given
first. After presenting the postulates of quantum mechanics, several examples of
quantum systems will be illustrated. Quantum entanglement will then be
discussed, which has been highly exploited in quantum information processing,
including quantum computation and quantum communications. We will introduce how
to build quantum circuits and by which how to run quantum algorithms with
killing applications. In quantum communications, we will focus on quantum
cryptography.

五、教學進度(Syllabus)

1. Mathematical preliminaries
2. Postulates of quantum mechanics
3. Examples of quantum systems
4. Quantum entanglement
5. Quantum computation
6. Quantum communications

六、成績考核(Evaluation)

There are homework assignments (40%), a midterm exam (30%), and a final exam or
project (30%).

七、使用生成式AI之倫理聲明(Ethics Statement on Generative Artificial Intelligence)

After careful consideration, the instructor of this course deems it
inappropriate to use generative artificial intelligence in this class. This is
because the content within generative AI contains numerous errors and may
adversely affect students' understanding of foundational knowledge. In
accordance with the published Guidelines for Collaboration, Co-learning, and
Cultivation of Artificial Intelligence Competencies in University Education,
this course adopts the following policy : Prohibited use

Students enrolled in this course should be aware that they may not submit
assignments, reports, or personal reflections generated using artificial
intelligence. If such usage is discovered, instructors, the institution, or
relevant units have the right to reevaluate the assignment or report or withhold
scores. Students enrolled in this course agree to the above ethics statement if
registering for the class.