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This tag is for questions relating to Hilbert Space, a vector space equipped with an inner product, an operation that allows defining lengths and angles, and the space is complete. It arises naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces having the property that it is complete. Applies also to pre-Hilbert spaces, rigged Hilbert spaces, and spaces with negative norm or zero-norm states.

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If measurement fixes the state of a quantum system, how do we know that superposition exists?

My very limited understanding of quantum mechanics cannot make sense of the superposition phenomena. It would seem to me like if a measurement makes the wave function of a quantum system collapse, nob …
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