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Superposition

Overview#

Superposition the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually.

Which implies that if input A produces response X and input B produces response Y then input (A + B) produces response (X + Y).

A function F(x) that satisfies the superposition principle is called a linear function. Superposition can be defined by two simpler function;

  • additivity - F(x1 + x2 ) = F(x1 ) + F(x2 )
  • homogeneity - F(ax) = aF(x)

Superposition is the states of quantum systems that are added together and subtracted from each other. Mathematically, the rules for combining quantum states can be described in the same way as the rules for adding and subtracting within a Vector Space.

This what is behind strange quantum effects that you may have heard about, such as the double-slit experiment, or particle-wave duality.

More Information#

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