Module Handbook

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Module MAT-59-14-M-6

Mathematics of Quantum Computing (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-59-14-M-6 Mathematics of Quantum Computing 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-OPT] Optimisation
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Notice

Without a proof of successful participation in the exercise classes, only 3 credit points will be awarded for the module.

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U MAT-59-14-K-6
Mathematics of Quantum Computing
P 42 h 93 h
U-Schein
- PL1 4.5 irreg.
  • About [MAT-59-14-K-6]: Title: "Mathematics of Quantum Computing"; Presence-Time: 42 h; Self-Study: 93 h
  • About [MAT-59-14-K-6]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 84222 ("Mathematics of Quantum Computing")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • Qubits,
  • quantum gates and quantum circuits,
  • early algorithms (e.g. Deutsch-Jozsa and Bernstein-Vazirani),
  • exact algorithms (e.g. Simon's algorithm, Fourier Transformation, Shors method, Grover's Search, HHL),
  • hybrid heuristic methods (e.g. VQE and QAOA),
  • insight into error rates, error correction and complexity.

Competencies / intended learning achievements

Upon successful completion of this module, the students have gained an overview of the fundamentals and different models of quantum computing. They understand how quantum algorithms basically work. They know selected quantum algorithms and are able to critically assess their performance and their possible applications and compare them with classical methods. They understand how selected quantum algorithms work and are able to understand and explain them.

In the exercise classes they have developed a confident, precise and independent handling of the terms, statements and methods from the lecture. They have also learned to modify quantum algorithms and to apply them to other problems.

Literature

will be announced in the lecture.

Materials

Exercise material will be provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance of the module (informal)

Good knowledge of linear algebra and practical mathematics, e.g. from the courses [MAT-14-11-K-3] "Introduction to Numerical Methods" or [MAT-14-13-K-3] "Linear and Network Programming", and basic knowledge of Hilbert spaces (e.g. from the course [MAT-12-23-K-3]). Knowledge of Physics is not required.

Modules:

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MAT-59-14-M-6]

Course of Study Section Choice/Obligation
[MAT-88.105-SG] M.Sc. Mathematics [Core Modules (non specialised)] Applied Mathematics [WP] Compulsory Elective
[MAT-88.706-SG] M.Sc. Mathematics International [Core Modules (non specialised)] Applied Mathematics [WP] Compulsory Elective
Module-Pool Name
[MAT-GM-MPOOL-5] General Mathematics (Introductory Modules M.Sc.)