Specifically do we know how the two parties (photons) involved communicate ? how does the state information transferred. Is it transferred by some waves similar to radio waves ? I somehow still can not believe that its real.
It does not "communicate" in the sense that you seem to mean, and it certainly does not propagate in any physical sense, since to do so it would have to "communicate" at the speed of light or less, whereas entanglement is instantaneous.Specifically do we know how the two parties (photons) involved communicate ? how does the state information transferred. Is it transferred by some waves similar to radio waves ? I somehow still can not believe that its real.
I don't disagree that nothing is communicating instantaneously, which is your key point to the OP. However, any discussion of causality and locality is going to run afoul of interpretations, which obviously is outside this thread (and dreaded). So a quibble... Entanglement can occur after measurement via swapping. See:The stronger-than-classical correlations between far distant parts of quantum systems, described by entanglement, are due to the preparation of the system in such an entangled state, which clearly has to be made before the measurement at far distant places.
Yes, but also there you need entangled states to be prepared before you can "swap the entanglement". By construction a local relativistic microcausal QFT obeys the linked-cluster principle and thus cannot violate causality by construction. It's a mathematical fact, and you can only run into quibbles through wrong interpretations. I have not seen any other interpretation than the minimal statistical interpretation, taking Born's rule seriously and as a vital postulate of Q(F)T.Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping
Thomas Jennewein, Gregor Weihs, Jian-Wei Pan, Anton Zeilinger
"...Alice’s measurement projects photons 0 and 3 into an entangled state after they have been measured."
You and I have previously discussed this, I believe.