Quantum Information Processing

Place and Time: Wednesdays 10:00, Hall A at IP PAS.

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. I will introduce the most necessary concepts from the field of information processing and computation (e.g. algorithmic complexity classes), but 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. Some of them will be checked and graded. All will be discussed afterwards. There will be an exam at the end of the first semester (late January 2020).

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 strucutre, 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).

A TEASER FOR THE SECOND  SEMESTER:
Physical realizations of qubits and quantum computation architectures (trapped ions, photons, spin qubits, superconducting qubits); quantum computation algorithms (Deutsch-Jozsa, Grover, Shor); decoherence (spontaneous recombination, dephasing due to classical noise, Born and Markov approximations for quantum Master equation, Kraus operators, Lindblad operators); basics of quantum error correction; spin echo and dynamical decoupling; currents state-of-the-art of experiments on quantum computers.

HOMEWORK:

  • Homework 1 and 2:  HW12
  • Homework 3:  HW3