The Schmidt Decomposition (using Reduced Density Matrices)

We explain the relation that exists between the Schmidt coefficients/vectors and the eigenvalues/eigenvectors of the reduced density matrices of the two systems composing our state. We then use this relationship to derive a new way of calculation the Schmidt Decomposition using reduced density matrices. This video is part of a series on quantum entanglement: https://youtube.com/playlist?list=PLhI5X1mNN8gj5J7t9HBXCv4AplCnVGZov For more info on reduced density matrix, see: https://youtu.be/rUx2uYZpLkA For details on the partial trace, see: https://www.youtube.com/watch?v=L70TVZHYOsM