I've been thinking about the standard and easy "Three-polarising-filters experiment" as a demonstration of quantum phenomenon:
If light is passed through two polarising filter and the filters have relative angle of 90° then no light will pass. If a third polarising filter is inserted between the initial two, with some relative angle, then light passes.
and I was wondering whether:
The insertion of polarising filters could be thought of as "asking the light" what is its component in the specific basis (specified by the filter), with the caveat that after each "question" (i.e. insertion of polarising filter) the light polarisation effectively changes basis and only the component1 that coincides with the allowed (fast) axis of the filter continues through?
Could this be generalised to every measurement, i.e. the measuring device is defining a basis (in the sense of vector basis) and is not only measuring a component of the object of interest in the specified basis, but also performing a change of basis on it, which remains after the measurement is done?
1.If we think that in each basis the light polarisation is consisted of two components which are at right angles (orthogonal) to each other.