Isolating noise and amplifying the signal using weak quantum measurement and postselection

The so-called quantum Cheshire cat is a phenomenon in which an object, identified with ``cat'', dissociated from property of the ``grin'' cat. We propose thought experiment, similar to this phenomenon, interferometric setup, where (a component polarization) object (photon) can be separated itself and simultaneously amplified when it already decoupled its object. further show that setup used dissociate two complementary properties, e.g., orthogonal components polarization photon grin snarl cat, each other one them while being detached other. Moreover, we extend work noisy scenario, effected by spin-orbit-coupling--like additional interaction term Hamiltonian for measurement process, scenario confused devise gedanken experiment such ``confusion'' successfully system, find dissociation helps amplification signals.