Entanglement, Causality and Local Realism
I have been walking around with the notion that "quantum entanglement implies a causal relationship due to the states having a shared history". I am now not so
sure that even fits into any interpretation of QM. To be honest, I'm not even sure what I am saying as the whole subject seems to be just out of my reach.
When I talk about entanglement, I say that the preparation of the entangled state places information in the entangled state at the time of preparation and this "influences" future measurements. Where "this influences future measurements" in the last sentence I mean that the entangled states share a Hilbert space containing the eigenvectors of the joint Hamiltonian of the entangled objects. I'm not sure if I am way off course in my comprehension or if I have a problem with my language.
I would really appreciate some guidance on this.