In summary, the status of superposition differs in each interpretation of quantum mechanics. It exists in a multidimensional Hilbert space and is not observable. Some interpretations give it a real world status while others view it as our ignorance before measurement. The Schroedinger equation governs the evolution of wavefunctions in a Hilbert space and when combined with the Born rule, it produces probabilities for classical outcomes.
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It is not clear to me what is the status of superposition in each interpretation. For instance, if I google I don't get much talk about it. Is superposition tied to probability or can be considered as separate.
Superpositions of quantum states exist in a multidimentional Hilbert space and they are not observable. Most every interpretation treats them differently - from ascribing a real world status(e.g. some forms of the MWI) to being nothing but our ignorance before measurement(CI).
The multitude of many wavefunctions form a Hilbert space and the Schroedinger equation determines how a particular wavefunction evolves over time. When you solve the equation and apply the Born rule, you always get probabilities for classical-like results('particles').