Schmidt Decomposition: Is It Enough to Find States?

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ber70
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Is entangle enough to find that given states have Schmidt decomposition?
 
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Why didn't anyone reply me?
 
Hello,
Schmidt decomposition is a usefull tool for bipartite systems: if it admits a decomposition with more than one Schmidt coefficient, then the overall state is an entangled one. So every bipartite state has a Schmidt decomposition, but only if it's entangles there's more than one coefficinet in the expansion.
 
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