Lecture 8. Schmidt Decomposition

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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".

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Best video made about Schmidt decomposition ever . It is so integrated and so complete . Thank you! and Keep Going On!

asmaa.ali
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many thanks for this great explanation. just how did ~w1 and ~w2 come? shouldn't their normalization constant be 1/(4*radical(2))?

saragholamhoseinian