Fun fact: if you use more and more polarizing filters adjusted by finer and finer algorithms, and assume they are ideal (no loss of correctly oriented photons), that block of filters acts like a polarizing filter that filters to one angle but outputs at an angle rotated by 90 degrees.

This is an aspect of the quantum zeno effect. Normally it means to measure quickly while rotating an object to pin the object against the rotation. But here you instead measure a static object quickly while rotating the measuring device to force the object to rotate.