Advanced Concepts of Quantum Computing
Module IN2400
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Basic Information
IN2400 is a semester module in English language at Bachelor’s level and Master’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Focus Area Theoretical Quantum Science & Technology in M.Sc. Quantum Science & Technology
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 150 h | 60 h | 5 CP |
Content, Learning Outcome and Preconditions
Content
- Quantum Fourier transform
- Shor's algorithm for integer factorization
- Quantum operations
- Quantum error-correction
- Shor's algorithm for integer factorization
- Quantum operations
- Quantum error-correction
Learning Outcome
After successful completion of this module, students are familiar with advanced concepts and algorithms related to quantum computing, in particular the quantum Fourier transformation, quantum operations and quantum error correction. They can differentiate the quantum Fourier transform from other algorithms, understand its relevance for integer factorization, and apply the quantum Fourier transform in new scenarios. The students also understand the mathematical formalism of quantum error correction and related concepts like the stabilizer formalism.
Preconditions
- Introduction to Quantum Computing (IN2381)
- Linear Algebra, e.g., MA0901 Linear Algebra for Informatics
- Analysis (for Quantum Fourier transform), e.g., MA0902 Analysis for Computer Science
- Fundamentals of group theory helpful (for quantum error correction), but not strictly required, e.g., MA2010 Algebra
- Linear Algebra, e.g., MA0901 Linear Algebra for Informatics
- Analysis (for Quantum Fourier transform), e.g., MA0902 Analysis for Computer Science
- Fundamentals of group theory helpful (for quantum error correction), but not strictly required, e.g., MA2010 Algebra
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VI | 4 | Advanced Concepts of Quantum Computing (IN2400) |
Lopez Gutierrez, I.
Nibbi, M.
Responsible/Coordination: Mendl, C. |
Mon, 12:00–14:00, MI 02.07.023 Tue, 08:00–10:00, MI 00.13.009A Thu, 12:00–14:00, MI 00.08.055 Tue, 12:00–14:00, MI 01.07.023 |
eLearning |
Learning and Teaching Methods
The whiteboard lectures convey the advanced concepts of quantum computing in-depth, and the slide presentations illustrate state-of-the art technical developments. The accompanying exercises for individual study deepen the understanding of the topics explained in the lecture, and foster the creative application of the learnt techniques.
Media
whiteboard, slides
Literature
M. A. Nielsen, I. L. Chuang: Quantum Computation and Quantum Information. Cambridge University Press (2010)
J. Preskill: Quantum Computing in the NISQ era and beyond. Quantum 2, 79 (2018)
J. Preskill: Quantum Computing in the NISQ era and beyond. Quantum 2, 79 (2018)
Module Exam
Description of exams and course work
The assessment is by means of a written exam of 90 minutes. Problems related to quantum operations may ask the students to derive such an operation from a quantum circuit with principal and auxiliary qubits, the identification of a phase estimation step in a circuit, or using quantum Fourier transformation to solve a specific task. Problems on quantum error-correction and the stabilizer formalism might ask students to prove commutation relations, identity the subspace stabilized by a subgroup of the Pauli group, or transform such a subspace after conjugation by unitary gates. Reaching a pre-specified number of the maximum homework points can be rewarded by a grade bonus in the evaluation of the exam. The exact details are timely announced at the beginning of the course.
Exam Repetition
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
| Title | |||
|---|---|---|---|
| Time | Location | Info | Registration |
| Advanced Concepts of Quantum Computing | |||
| 21010 |
|||