QC201 : Advanced Math for Quantum Computing

About 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.PREREQUISITESTo 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 COURSEOrthonormalityBasis Vectors & Change of BasisBloch SphereTensor ProductsMulti-Qubit Tensor AlgebraEntanglement in terms of Degrees of FreedomPartial MeasurementsCryptography with EntanglementDeconstruction of Hermitian and Unitary Matrices into a Sum of Outer ProductsQUANTUM APPLICATIONS COVERED IN THIS COURSESuperdense CodingQuantum TeleportationProof of No-Cloning TheoremBell's Theorem (Statement and Proof)HOW TO GET THE MOST FROM THIS COURSEThe 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.

Course objectives

• to provide a solid mathematical foundation for quantum computing
• to enable students to grasp complex mathematical concepts related to quantum mechanics
• to prepare students for more advanced courses on quantum algorithms