We give the general definition of the partial trace, and give an intuitive interpretation by make some simple assumptions.
This is part of the following series of videos on the Density Matrix and Mixed States: playlist: https://youtube.com/playlist?list=PLhI5X1mNN8ghnH1ckAcclxY6-CPmZvWrk
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References:
https://en.wikipedia.org/wiki/Partial_trace
