Quantum Computing. Less Formulas — More Understanding
This course can be taken as part of a specialization «Quantum Computing: from Basics to the Cutting Edge».
This is yet one more introductory course on quantum computing. Here I concentrate more on how the mathematical model of quantum computing grows out from physics and experiment, while omitting most of the formulas (when possible) and rigorous proofs.
On the first week I try to explain in simple language (I hope) where the computational power of a quantum computer comes from, and why it is so hard to implement it. To understand the materials of this week you don’t need math above the school level.
Second and third weeks are about the mathematical model of quantum computing, and how it is justified experimentally. Some more math is required here. I introduce the notion of a linear vector space, discuss some simple differential equations and use complex numbers.
The forth week is dedicated to the mathematical language of quantum mechanics. You might need this if you want to dig deeper into subject, however I touch only the tip of the iceberg here.
On the week 5 I finally introduce some simple quantum algorithms for cryptography and teleportation.
Format
The form of education is online. Weekly classes will include watching thematic video lectures, studying additional materials and completing tests with automated verification of results. All assignments must be completed to obtain a certificate.
Course Programme
Two Basic Questions
The Origins of the Mathematical Model. Part 1
The Origins of the Mathematical Model. Part 2
The Language of Quantum Mechanics
Quantum Cryptography and Teleportation
Results
 Comparing classical and quantum computations
 Understanding of quantum parallelism
 Construction of quantum logic algorithms
 Designing of quantum computational models
 Computation with qubits
 Computation with continuous variables
 Quantum error correction

Сергей Сергеевич Сысоев
Кандидат физикоматематических наук, доцент