You are correct. The statement you mentioned, about changing the wavelength of one entangled photon and expecting its entangled twin to change as a result, is not accurate.
Entanglement is a quantum phenomenon where two or more particles become correlated in such a way that their states are intertwined and cannot be described independently. The entangled particles can exhibit certain correlations or correlations between their properties, but changing a property of one particle, such as its wavelength, does not directly affect the properties of the other entangled particle.
In the case of entangled photons, their entanglement typically arises from a property called polarization. Changing the wavelength of one photon would alter its frequency or color, but it would not directly affect the polarization state or any other property of the entangled photon. The entanglement between the photons would remain intact.
It's important to note that changing the wavelength of a photon can have other consequences, such as altering its energy or momentum, but those changes would not be instantaneously reflected in its entangled partner. The entanglement between particles is typically preserved unless specifically modified through interactions with other particles or external influences.