16/2/15 · 1 Answer1 Let V a vector space and let U 1, U 2 subspaces of V You may already know that W = U 1 U 2 = { u 1 u 2 u 1 ∈ U 1, u 2 ∈ U 2 } is a subspace of V But if U 1 ∩ U 2 = { 0 } where 0 is the identity element in the abelian group ( V, ), then W is called the direct sum of U 1 and U 2 and we write W = U 1 ⊕ U 22/6/21 · However, the Schmidt decomposition theorem states that it can be done for any pure state $\psi \rangle$ of a composite system I must have misunderstood what the Schmidt decomposition actually is or I am doing things the wrong way, I would appreciate it if someone could enlighten me on thisThe term decomposition means "to break down" It typically corresponds to the disintegration or rupture of complex organic matter into a simpler inorganic matter It is one of the significant and essential processes of the ecosystem Hence, decomposition is a metabolic process, taking up raw materials in the form of complex compounds, processing it
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