This is not local hidden variable theory. The measurement of one half of an entangled pair doesn't modify the probability distribution of the other half of an entangled pair. There is no modification, just a phenomenon unexplainable by classical physics whereby certain measurements on either system are either perfectly correlated or anti-correlated.
How are you saying "the state was prepared before we separated" without meaning a local hidden variable theory? The only way for that to make sort of sense would be superdeterminism, or a nonlocal HV theory, which is definitely not the consensus in QM.
>The measurement of one half of an entangled pair doesn't modify the probability distribution of the other half of an entangled pair.
The only way for that to make sort of sense would be superdeterminism, or a nonlocal HV theory, which is definitely not the consensus in QM.
The only for it to make sense classically. It doesn't need to make sense, it just is. It's how QM works, you can't understand it by some classical mechanism.
