The squares of the coefficients of the terms of a superposition wavefunction giv

Question

The squares of the coefficients of the terms of a superposition wavefunction give the probability that the system is in the state described by the constituent wavefunctions. Is it possible to interpret this as meaning that when a measurement is made on a superposition state, that all the possible outcomes described by the constituent terms will occur according to their probability? In other words, when a measurement is made on a quantum system described by a superposition state, that the measurement creates states, in orthogonal frames, whose number is related to the square of the coefficients of those states in the superposition. In other words, the measurement creates different orthogonal universes where each outcome occurs according to the square of the corresponding coefficients.

Explanation / Answer

Yes. It is true that when a measurement is made on a quantum system described by a superposition state, the measurement creates states whose value is related to the square of the coefficients of those states in the superposition.

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