Сысоев Сергей Сергеевич

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Quantum Computing. Less Formulas - More Understanding

Saint Petersburg State University

About this Course

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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.

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Beginner Level

Approx. 8 hours to complete

English

Subtitles: French, Portuguese (European), Russian, English, Spanish

Instructor

Instructor rating

5/5 (13 Ratings)

Сысоев Сергей Сергеевич

кандидат физико-математических наук

Кафедра системного программирования

31,682 Learners

3 Courses

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 8 hours to complete

English

Subtitles: French, Portuguese (European), Russian, English, Spanish

Offered by

Saint Petersburg State University

Санкт-Петербургский государственный университет (СПбГУ) — старейший вуз России, основанный в 1724 году. Университет сегодня — научный, образовательный и культурный центр мирового значения, неизменно входящий во все международные рейтинги вузов. В номинации взаимодействие с работодателями QS Graduate Employability 2018 СПбГУ занимает 20 место среди 400 ведущих вузов мира и является лучшим в России.

В настоящее время СПбГУ реализует 418 образовательных программ, включающих самые современные направления подготовки и специальности. Сертификат об успешном окончании представленных онлайн-курсов дает 5 дополнительных баллов при поступлении на программы магистратуры и аспирантуры СПбГУ. St Petersburg University is the oldest university in Russia, founded in 1724. The University today is a world-class research, educational and cultural centre which is always included in all international rankings of world universities. St Petersburg University was ranked 20th in QS Graduate Employability Ranking 2018 among 400 leading universities in the world and is the best in Russia. At present, St Petersburg University offers 418 academic programmes, including the most advanced areas and fields of study. The certificate of successful completion of offered online courses gives five additional points when applying for master’s and doctoral programmes at St Petersburg University.

Syllabus - What you will learn from this course

Week

Week 1

1 hour to complete

Two Basic Questions

Why quantum computers are believed to be so powerful, and yet why they aren't implemented on the industrial scale? We will briefly discuss these questions and maybe some more.

1 hour to complete

7 videos (Total 53 min)

7 videos

Introduction4m

The Consequences of the Mathematical Model3m

The State Space7m

True Randomness. Part 18m

True Randomness. Part 210m

Interference. Part 18m

Interference. Part 210m

1 practice exercise

Test for the Module 130m

Week

Week 2

1 hour to complete

The Origins of the Mathematical Model. Part 1

1 hour to complete

7 videos (Total 60 min)

7 videos

Introduction4m

Double-slit Experiment. Bullets and Waves11m

Double-slit Experiment. Photons and Electrons. Part 19m

Double-slit Experiment. Photons and Electrons. Part 25m

Wavefunctions7m

Square-Integrable Functions10m

Measurement9m

1 practice exercise

Test for the Module 230m

Week

Week 3

2 hours to complete

The Origins of the Mathematical Model. Part 2

2 hours to complete

10 videos (Total 81 min)

10 videos

Introduction3m

The State Space6m

Two-State Systems.Polarization of Photons. Part 18m

Two-State Systems.Polarization of Photons. Part 25m

Waves and Complex Numbers. Part 110m

Waves and Complex Numbers. Part 25m

Geometrical Representation - Bloch Sphere8m

Other Two-level Systems. Spin 1/28m

Entanglement10m

Systems with Multiple Qubits14m

1 practice exercise

Test for the Module 330m

Week

Week 4

2 hours to complete

The Language of Quantum Mechanics

2 hours to complete

8 videos (Total 73 min)

8 videos

Introduction6m

Inner Product12m

Conjugate Space5m

Linear Operators9m

Hermitian Operators10m

Eigenvalue Equation8m

Some Examples10m

The Evolution of Quantum System9m

1 practice exercise

Test for the Module 430m

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Quantum Computing. Less Formulas - More Understanding

Quantum Computing. Less Formulas - More Understanding