I asked a question about Schmidt decomposition in one of the math forums, but haven't gotten any replies yet. Link. The question is about why the state of a bipartite system (a system that consist of two component systems) can be expressed in the form(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum_{n=1}^\infty \sqrt{p_n}|a_n\rangle\otimes|b_n\rangle[/tex]

where the p_{n}can be interpreted as probabilities. If you know something about this (the infinite-dimensional case), please take a look at my question.

I never know what forum to use for questions about functional analysis with applications to QM. "Calculus & Analysis" should be the right one (since functional analysis is analysis), but that's not the sort of question other people post there. "Linear & Abstract Algebra" would also make sense since functional analysis is just linear algebra on vector spaces that aren't required to be finite-dimensional, and "Quantum Physics" would make sense too, since that subject is the reason I'm asking.

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# Schmidt decomposition and bipartite system

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