Quantum Information Processing I

Place and Time: Mondays 13:00-15:00, Hall D

LECTURER: dr hab. Łukasz Cywiński prof. IF PAN
contact: lcyw@ifpan.edu.pl

BOOKS: Useful references include:
Short Introduction to Quantum Information and Quantum Computation (Wstęp do informatyki kwantowej) by Michel Le Bellac (short and basic, but well written, with a good choice of things to cover in an introductory book).
– Notes on quantum information and computation by John Preskill: http://www.theory.caltech.edu/%7Epreskill/ph219/index.html#lecture
– A mammoth of a book: Quantum Computation and Quantum Information by Michael A. Nielsen and Issac L. Chuang. I don’t recommend reading it from cover to cover (it’s too much for the first encounter with the subject), but if you want to read more on one of the topics that will be introduced, give it a try.

LANGUAGE: English

AIMS/OBJECTIVES OF THE COURSE:
The aim of these lectures is to introduce the field of quantum computation and quantum information processing. The main emphasis will be on physics of qubits – the basic building blocks of quantum information processing systems.

CRITERIA FOR ADMISSION
Basic knowledge of quantum mechanics (at the level of first full-size course on QM taught at universities) is expected.

TEACHING/LEARNING METHODS AND STRATEGIES:
There will be home assignments. They will be checked and graded. All will be discussed afterwards. There will be an exam in late January or early February 2023.

PLAN FOR THE FIRST SEMESTER:

    1. A quick refreshing of quantum mechanics.
    2. Elements of spin resonance theory (Rabi oscillations. Coherent control over a qubit).
    3. Quantum composite systems (tensor product structure, entanglement of pure states).
    4. Interactions between qubits – generation of entanglement.
    5. Mixed states.
    6. Bell inequalities, no-cloning theorem, quantum cryptography, quantum teleportation.
    7. Elements of classical information theory and algorithmic complexity.
    8. Information processing and physics (Classical bits vs qubits. How is quantum computer supposed to work? Quantum logic gates).