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Derivation · draft

Schmidt Decomposition of Bipartite States

D-404 Home PU-404 Threads symmetry · chance · matter Depends on Singular Value Decomposition, tensor-product-of-vector-spaces, Reduced States and the Partial Trace
Statement

Any bipartite pure state reduces via the SVD to a single sum over orthonormal local bases, defining the Schmidt rank as an entanglement measure.

Depends on

Singular Value Decomposition, tensor-product-of-vector-spaces, Reduced States and the Partial Trace

Used by

PU-404/L03 PU-404/L05 PU-404/L06