IA066 Introduction to Quantum Computing

Faculty of Informatics
Autumn 2024
Extent and Intensity
2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
prof. RNDr. Antonín Kučera, Ph.D. (lecturer)
RNDr. Vít Musil, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Antonín Kučera, Ph.D.
Department of Computer Science – Faculty of Informatics
Supplier department: Department of Computer Science – Faculty of Informatics
Timetable
Tue 24. 9. to Tue 17. 12. Tue 14:00–15:50 B410
  • Timetable of Seminar Groups:
IA066/01: Tue 24. 9. to Tue 17. 12. each odd Tuesday 16:00–17:50 B410, V. Musil
Prerequisites
Linear algebra in a complex field; No knowledge of quantum physics is assumed.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The course introduces students to the core principles of quantum mechanics as applied to computing. Initially, we confront our classical expectations with quantum surprises through experiments to discover fundamental phenomena such as superposition, interference and measurement. We then establish a mathematical framework to underpin these concepts. Students will learn about basic concepts and methods used in quantum computing as well as famous key algorithms that offer advantages over classical computing. The course aims to provide theoretical knowledge and skills, preparing students for advanced studies or careers in quantum technologies. In contrast to popularization lectures, the focus is on understanding the mathematical rigour.
Learning outcomes
After completing the course, students will be able to understand:
- the mathematical foundations of quantum computing
- basic principles of quantum algorithm design
- basic quantum circuit design
- basic elements of quantum cryptography
- Grover's search and Shor's period-finding algorithms
Syllabus
  • Introduction: What is quantum computing, and why look at it.
  • Classical expectations & quantum surprises: Demonstration of experiments with spinning neutrons in a magnetic field; Building a formal model, discussion of measurement, unavoidable complexity.
  • Superposition: Introducing 'signed' probabilities; Constructive and destructive interference.
  • Postulates of quantum mechanics: State space; Qbit and its measurement (Born rule); The evolution of a quantum system.
  • Operations on a Qbit: Properties of unitary transforms; Quantum gates and circuits; I, H, X, Z gates.
  • Protocols using one Qbit: Quantum key distribution (BB84); Bit commitment.
  • Composite systems: Tensor product and entanglement; Measurement revisited, Generalized Born rule.
  • Operations on Qbits: Unitary transforms, Product and entanglement gates, CNOT; Postulates revisited; No cloning theorem;
  • Dense coding & Teleportation: Bell basis and duality;
  • Reversible computation of a Boolean function: Unitary implementation of any function; Quantum parallelism; Phase query;
  • Protocols using a few Qbits: Deutsch's problem'; Bernstein-Vazirani problem; Simon's problem.
  • Grover's Search algorithm
  • Shor's factoring algorithm: Discrete Fourier transform; Period finding.
Literature
    recommended literature
  • MERMIN, N. David. Quantum computer science : an introduction. 1st pub. New York, N.Y.: Cambridge University Press, 2007, xiii, 220. ISBN 9780521876582. info
    not specified
  • GRUSKA, Jozef. Quantum computing. London: McGraw-Hill Companies, 1999, xv, 439. ISBN 0077095030. info
Teaching methods
Lectures and tutorials
Assessment methods
Written test, oral exam.
Language of instruction
English
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2024/IA066