0:00 Evolution of quantum systems
6:33 Eigenvalues and eigenvectors of unitary operators
12:44 Spectral Theorem for unitary operators
15:37 Evolution of quantum systems revisited
18:07 General scheme of quantum computations
21:07 Definition of a group
23:56 Examples of groups
Evolution of quantum systems is given by unitary operators. In this lecture we discuss their properties.
This is a lecture in a graduate course "Quantum Computing".
My book "Quantum Computing for High School Students" is available here: https://qubitpublishing.com/ or from Amazon.
Complete playlist for this course:
https://www.youtube.com/playlist?list=PLu6jbin1VpDD87rdSDF4HRfITWF_LwgOx
