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I am trying to remember the logical argument that leads from Heisenberg's uncertainty principle to the existence of quantum superposition states.

Here's my sketchy version:

1) postulate of Quantization leads to non-commuting operators

2) This leads to Heisenberg Unc. Principle, and the concept of wave-like probability distribution (wave packet)

3) This leads to the evolution of the wave packet over time (Schrodinger Equation)

4) this leads to the concept of multiple simultaneous solutions to the Sch Equation (such as an infinite collection of solutions to the harmonic oscillator, each one representing a different possible energy level)

And there we have arrived at superposition states. Can someone revise this if it is incorrect?

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# From Heisenberg to Superposition states

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