Budapest University of Technology and Economics, Faculty of Electrical Engineering and Informatics

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    Introduction to Quantum Computing and Communication

    A tantárgy neve magyarul / Name of the subject in Hungarian: Bevezetés a kvantum-informatikába és kommunikációba

    Last updated: 2019. április 3.

    Budapest University of Technology and Economics
    Faculty of Electrical Engineering and Informatics
    Course ID Semester Assessment Credit Tantárgyfélév
    VIHIAV06   2/0/0/f 2  
    3. Course coordinator and department Dr. Imre Sándor,
    4. Instructors

    Név:

    Beosztás:

    Tanszék, Int.:

    Dr. László Bacsárdi

    Researcher

    HIT

    Dr. Sándor Imre

    Professor

    HIT

    5. Required knowledge

    Probability Theory

    7. Objectives, learning outcomes and obtained knowledge

    The quantum mechanics-based algorithms and protocols can play an important role in our nowadays used technical solutions. Quantum computing and quantum communications is no longer belongs to the world of scientific laboratories since more and more products are offered by different companies in the market. This course gives an overview on different areas of quantum computing and communication including qubits, quantum registers, quantum gates and different quantum algorithms (Grover, Deutsch-Jozsa, Shor, etc.) and protocols (including quantum teleportation and quantum key distribution).

    8. Synopsis

    Week 1: Introduction

    Motivation of quantum computing. Moore's law and quantum mechanics. Application possibilities of quantum computing. Quantum interferometer.

     

    Week 2: Basics of quantum computing

    Hilbert space and quantum mechanics. Notation. Complex probability amplitudes. Postulates of quantum mechanics.

     

    Week 3: Quantum bit, quantum register

    Quantum bit and quantum register. Superposition. Representation with the Bloch sphere. Elementary quantum gates and their descriptions.

     

    Week 4: Entanglement

    Entanglement and its effects. Entanglement with the environment.

     

    Week 5: Basics of quantum computing (2)

    Measurement: connection between quantum and classical world. Measurement techniques. Projective measurement. POVM. Connection between the measurements.

     

    Week 6: Basics of quantum computing (3)

    General description of quantum interferometer. No Cloning Theorem. Creating unitary quantum bit using elementary quantum gates

     

    Week 7: Early quantum protocols

    Superdense coding. Quantum teleportation

     

    Week 8: Quantum parallelism

    Basics of quantum parallelism. Deustch-Jozsa algorithm.

     

    Week 9: Quantum parallelism (2)

    Simon's algoritmus. Application of quantum parallelism

     

    Week 10: Quantum solutions of infocommunications problems (1)

    Quantum cryptography and quantum key distribution. BB84 protocol. B92 protocol.

    .

    Week 11: Application of quantum cryptography

    Overview of fiber based quantum key distribution systems. Application of quantum communications in space communication.

     

    Week 12: Quantum solutions of infocommunications problems (2)

    Efficient searching in an unsorted database. Grover's algorithm

     

    Week 13: Quantum solutions of infocommunications problems (3)

    Prim factorization, order finding, Shor's algorithm

     

    Week 14: Quantum computers: state of the art

    State of art of quantum computers: photons, electron spins, atoms. Existing architecture and current research directions.

    9. Method of instruction

    Lecture.

    10. Assessment

    Fulfilling the requirements of 1 homework project and 3 short classroom tests.

    The final grade is calculated as follows: result of 1 homework project (40 percent) and results of 3 short classroom tests (20 percent each).

    11. Recaps

    Short classroom tests cannot be repeated. Homework project can be submitted later until the supplement week according to the related university regulations.

    12. Consultations

    Ad hoc meetings with the lecturer.

    13. References, textbooks and resources

    Slides are available on the course web site with further recommended readings.

     

    S. Imre, F. Balázs: Quantum Computing and Communications - An Engineering Approach, Published by John Wiley and Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ, England, 2005, ISBN 0-470-86902-X, 283 oldal (néhány példányban kölcsönözhető).

    14. Required learning hours and assignment
    Kontakt óra28
    Félévközi készülés órákra6
    Felkészülés zárthelyire10
    Házi feladat elkészítése16
    Kijelölt írásos tananyag elsajátítása 
    Vizsgafelkészülés 
    Összesen60
    15. Syllabus prepared by

    Név:

    Beosztás:

    Tanszék, Int.:

    Dr. László Bacsárdi

    Lecturer

    HIT

    Dr. Sándor Imre

    Professor

    HIT