On using Greenberger-Horne-Zeilinger three-particle states for superluminal communication

Using a three-particle entangled system (triple) of photons, it is possible in principle to transmit signals faster than the speed of light from sender to receiver in the following manner: First, let there be an emitter of triples between sender and receiver. For every triple, photons 1 and 2 are sent to the receiver and 3, to the sender. The sender is given the choice of whether to (a) measure polarization of photon 3 or (b) destroy such information. On the other hand, the receiver measures photon correlation vs. relative polarization angle between photons 1 and 2. These correlation statistics depend on whether photon 3 polarization was (a) measured or (b) destroyed. Since this dependence is nonlocal, it is a basis for superluminal i.e. faster-than-light communication.