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Last updated Mar 17, 2022

# About this Course

Quantum information and quantum computations is a new, rapidly developing branch of physics that has arisen from quantum mechanics, mathematical physics and classical information theory. Significant interest in this area is explained by the great prospects that will open upon the implementation of its ideas, capturing almost all areas of human activity related to the transfer, storage and processing of information. The purpose of this course is to show the basic ideas of quantum informatics, as well as the physical laws and basic mathematical principles. Much attention is paid to such phenomena as quantum entanglement, quantum parallelism, and quantum interference. It is these phenomena that underlie most of the known quantum protocols and algorithms, which are devoted to individual sections of this course. In particular, from the course, students will learn about quantum teleportation, quantum algorithms, quantum error correction and other topics related to the quantum computations theory. As a result of the course, the students will be able to master the modern mathematical apparatus of quantum mechanics used in quantum computations, master the ideas that underlie the most important quantum logic algorithms and protocols for transmitting and processing quantum information, and learn how to solve problems on these topics.

# Learning Outcomes

The student who completed this course should:

  • know
    • fundamental concepts of quantum mechanics and the quantum information theory;
    • The most important protocols for the transfer and processing of quantum information;
    • The most important quantum logic algorithms;
    • The basic protocols of the classical and quantum error correction theory.
  • be able to
    • work with classical and quantum circuits;
    • solve problems in the quantum information theory.
  • master
    • mathematical apparatus of quantum mechanics used in the quantum information theory.

# Notes

# Week 1: Statistical aspects of quantum mechanics

# Physical implementations of qubit

# Qubit as a quantum unit of information

# Pure and mixed states of quantum systems

# Density matrix and its properties