QC201 : Advanced Math for Quantum Computing

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.