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.
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.
Introduction and Prerequisites
Core Math Techniques
Applications
Conclusion
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