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.
What you'll learn
understand the concept of orthonormality
apply basis vectors and change of basis
perform calculations involving Bloch spheres
execute tensor products and multi-qubit tensor algebra
recognize entanglement in terms of degrees of freedom
analyze partial measurements and cryptography with entanglement
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