Applied Quantum Mechanics

Data is displayed for the academic year: 2025./2026.

Lecturers

Assoc. Prof.
Dario Bojanjac
PhD

Course Description

Applied Quantum Mechanics focuses on the study of quantum phenomena with an emphasis on their practical application in modern technologies. This course explores how fundamental principles of quantum physics—such as superposition, entanglement, and tunneling—form the basis for the development of quantum technologies, with a particular focus on quantum communication. It is primarily intended for engineering students who wish to learn how to apply the fundamentals of quantum theory in the development of new information and communication systems.

Study Programmes

University graduate
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[FER3-HR] Electric Machines, Drives and Automation - profile
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[FER3-HR] Electronic and Computer Engineering - profile
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[FER3-HR] Electronics - profile
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[FER3-HR] Information and Communication Engineering - profile
Elective Courses (1. semester) (3. semester)
[FER3-HR] Network Science - profile
Elective Courses (1. semester) (3. semester)
[FER3-HR] Software Engineering and Information Systems - profile
Elective Courses (1. semester) (3. semester)

Learning Outcomes

  1. Explain the fundamental principles of quantum mechanics and their role in quantum technologies.
  2. Apply and understand the mathematical tools required to describe and simulate quantum systems.
  3. Distinguish between classical and quantum approaches to information processing, communication, and measurement.
  4. Apply basic quantum theory concepts to model and analyze quantum systems relevant to engineering practice.
  5. Analyze the principles of quantum communication, including quantum key distribution (QKD) and its security implications.
  6. Explain the architecture of quantum networks.
  7. Develop simple models or algorithms that utilize quantum principles to solve practical problems.

Forms of Teaching

Lectures

-

Exercises

-

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Homeworks 0 % 80 % 0 % 0 %
Class participation 0 % 20 % 0 % 0 %
Seminar/Project 0 % 20 % 0 % 0 %

Week by Week Schedule

  1. Examples of quantum effects in nature. Famous experiments and historically significant cases that led to the development of quantum theory.
  2. Hamiltonian approach to classical mechanics. Phase space.
  3. Time evolution of a mechanical system and the matrix function.
  4. Postulates of quantum mechanics. Dirac notation, quantum states, and operators.
  5. Particle in a potential well.
  6. Separation of variables. Eigenvalues and eigenvectors of the Laplace operator.
  7. Harmonic oscillator.
  8. -
  9. Introduction to function spaces.
  10. Introduction to the Operator Theory.
  11. Operator-based approach to solving the harmonic oscillator. Introduction to the quantization of the electromagnetic wave and coherent states.
  12. Introduction to tensor algebra and spin.
  13. Quantum foundations of secure communication (entanglement, no-go theorems: Bell's theorem and the no-cloning theorem).
  14. Quantum networks and quantum key distribution.
  15. -

Literature

Richard L. Liboff (2002.), Introductory Quantum Mechanics, Addison-Wesley
David J. Griffiths (2017.), Introduction to Quantum Mechanics, Cambridge University Press
Brian C. Hall (2013.), Quantum Theory for Mathematicians, Springer Science & Business Media
Ramona Wolf (2021.), Quantum Key Distribution: An Introduction with Exercises, Springer Cham
Michael A. Nielsen, Isaac L. Chuang (2011.), Quantum Computation and Quantum Information, Cambridge University Press

General

ID 284081
  Winter semester
5 ECTS
L1 e-Learning
30 Lectures
0 Seminar
15 Exercises
6 Laboratory exercises
0 Project laboratory
0 Physical education excercises

Grading System

85 Excellent
75 Very Good
60 Good
50 Sufficient

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