0:00 Entangled states
5:40 Schmidt Decomposition Theorem
11:13 Proof of Schmidt Decomposition theorem
23:12 Example of computing the Schmidt decomposition
41:05 Connection between Schmidt Decomposition and Singular Value Theorem
In this lecture we discuss Schmidt decomposition for entangled quantum systems. This decomposition provides a measure of entanglement.
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