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Re:Quantum Mechanics for Programmers by tomonl on Thursday March 30, 2017 @06:52AM (#13994314)
As I understand it, that is only true when dealing with density matrices. For example, |0>⊗|0> + |1>⊗|1> is entangled and has tensor products. I think that Xcelerate is correct in saying that all combinations of the basis vectors form the basis of the multi-particle Hilbert space, as a single-particle wavefunction is just a vector/ket.
Re:Quantum Mechanics for Programmers by monktastic1 on Thursday March 30, 2017 @12:32PM (#13996828)
Sure, the tensor product space has a basis that is formed by the tensor products of all pairs of basis elements. But this is different from saying that any particular vector in the space is a tensor product of elements from the individual spaces.

But I'm possibly just misunderstanding what you're saying.