= Schmidt decomposition
{wiki=Schmidt_decomposition}
The Schmidt decomposition is a mathematical technique used in quantum mechanics and quantum information theory to express a bipartite quantum state in a particularly useful form. It is analogous to the singular value decomposition in linear algebra. For a bipartite quantum system, which consists of two subsystems (commonly referred to as systems A and B), the Schmidt decomposition allows us to write a pure state \\(|\\psi\\rangle\\) in such a way that it identifies the correlations between the two subsystems.
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