QC201 : Advanced Math for Quantum Computing

Learn the Advanced Math you need for later courses on Quantum Computing Algorithms

4.71 (253 reviews)

Udemy

platform

English

language

Software Engineering

What you will learn

Advanced Math Techniques for Quantum Computing

Why take this course?

This course covers the Math you need to begin learning about quantum algorithms and applications of quantum computing.

This is primarily a Math course. It doesn't cover any quantum algorithms or applications. This course teaches you the Math you need to begin learning about quantum algorithms. Quantum algorithms will be covered in later courses.

Almost everything in this course is explained with rigorous proofs. After you complete this course, quantum physics will not seem so mysterious.

PREREQUISITES

To get the most from this course, you must be completely familiar with all the topics covered in the earlier prerequisite courses:

QC051 ,

QC101 ,

and QC151 .

MATH TECHNIQUES COVERED IN THIS COURSE

Orthonormality

Basis Vectors & Change of Basis

Bloch Sphere

Tensor Products

Multi-Qubit Tensor Algebra

Entanglement in terms of Degrees of Freedom

Partial Measurements

Cryptography with Entanglement

Deconstruction of Hermitian and Unitary Matrices into a Sum of Outer Products

QUANTUM APPLICATIONS COVERED IN THIS COURSE

Superdense Coding

Quantum Teleportation

Proof of No-Cloning Theorem

Bell's Theorem (Statement and Proof)

HOW TO GET THE MOST FROM THIS COURSE

The material presented here is significantly more advanced than my previous courses on QC.

To get the most from this course, you might need to rewind and repeat each lesson 2-3 times.

It is a good idea to pause the lessons frequently and follow along with the Math.

Give yourself breaks between lessons. After you complete a lesson, wait a day, or at least an hour before moving on to the next lesson.

Enroll today and I will see you in class.

Reviews

Alan

October 19, 2023

The math is more than I took in high school many years ago, though I took honors math. I did minor in math at university. The math for quantum bits is different and the author took a lot of trouble to explain the principles.

Bart

June 11, 2023

Slowly explained, stressing the important points for greater insight what is going on, and not ‘just shut up and calculate’. Still with this approach neat applications can be shown or proved. (albeit not rigorously) as non cloning theorem, superdense coding, quantum teleportation and Bell’s theorem.

Ravi

May 29, 2023

Please add diagrams/graphics of qubit orientation and apparatus while explaining experiments and maths related to it.

WeiFeng

August 16, 2022

good to review the learning so far, and get prepare for the lengthy quantum alogorithm, I like the short interpretation which touch to the ground point, enjoy

August 12, 2022

Explained the complex topics very crisply and to the point. Entire content is very well organized in a logical manner and all chapters are well connected in way that concepts are built gradually as we progress through the chapters Really useful and enjoyable course

Fred71112

June 21, 2021

This is my favorite instructor. I did all 4 courses with great pleasure. Very clear, very precise, good choice of subjects, fast reply to questions and edited subtitles. Chapeau!

Timothy

March 25, 2021

This course exposed me to a lot of what is used in / needed to understand quantum computing. I do not feel like I had nearly enough problems to practice the skills outlined in the course. I also still don't know how the math translates into useful practical information. Not that this is what I would use it for, but I think in an earlier course, Ramanathan mentioned that using a quantum computer, it had proven possible to crack SSH codes. How does one take qbits to do work like that? Still not sure, but I hope it's available in future/other courses.

Sandor

August 28, 2020

I need to put some extra work on the partial measurement of Multiple Qubits. Otherwise the course is as I expected.

Ita

June 9, 2020

I don't think that we will find another teacher that explain you with calm and immensive patience quantum arguments like him. he returns in more important things many times until you understand it. Most important things are focused by the teacher very well. Is like drinking a water glass. Waiting for your next lessons.

Lillian

April 29, 2020

Well presented and interesting. But he belabors the obvious sometimes(like the colors of the 4 qubits) and glosses over more difficult parts (like relative and global phases).

Quelley

April 14, 2020

The instructor is very good at explaining complex topics. I wish I could have taken this course before my first trip through quantum mechanics.

Christopher

March 12, 2020

So far the vague concepts of QM are very clear. This professor knows how to introduce a very confusing subject with very simple examples.

Jerel

February 26, 2020

I thought this class was great. Although I was familiar with the math from other contexts, the applications and proofs created great value. My only problem is that I've always worked problem sets to get abstract ideas to stick in my head and I'm not sure where people are writing those for quantum computing but that's not a issue of instruction. I'm looking forward to the next class.

William

February 26, 2020

I've taken all the preceding courses. This is a good continuation. I hope you keep producing along these lines.

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