Quantum Computing. Less Formulas — More Understanding

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.

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.

1. Two Basic Questions

2. The Origins of the Mathematical Model. Part 1

3. The Origins of the Mathematical Model. Part 2

4. The Language of Quantum Mechanics

5. Quantum Cryptography and Teleportation

• 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

ОПК-1. Способен находить, формулировать и решать актуальные и значимые проблемы прикладной и компьютерной математики.

ОПК-2. Способен создавать и исследовать новые математические модели в естественных науках, совершенствовать и разрабатывать концепции, теории и методы.

ОПК-3. Способен самостоятельно создавать прикладные программные средства на основе современных информационных технологий и сетевых ресурсов, в том числе отечественного производства.

The course is aimed at the formation of general learning competencies for Bachelor’s and Specialists’ programs, as well as other competencies included in the education program.