Why are many variable probability distribution described by a Tensor product? I am asking this question because i came to know that wavefunction $\psi(x,y)$ is a tensor product of two copies of $\psi(x)$. Can anyone help me understand this? Please refer the following question When and how did the idea of the tensor product originate in the history quantum mechanics?
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What do you mean by a "variable probability distribution", and why do you think this is related to wavefunctions? Why do you say that $\psi(x, y)$ is "a tensor product of two copies of $\psi(x)$", where did you hear this? – knzhou Apr 16 '20 at 17:34
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It is not clear whether you are asking why we use the tensor product to describe combined systems, which is also a duplicate of e.g. https://physics.stackexchange.com/q/54896/50583, or whether you're asking why a function of two variable $f(x,y)$ is in the tensor product of spaces of functions of a single variable, which would be a pure math question. I've closed this question as a duplicate, please edit your question to clarify if you wanted to ask something different from these two options. – ACuriousMind Apr 16 '20 at 17:40