Look at the difficulty of creating a quantum computer if you really think that it's plausible shared quantum state would survive for a few billion years and int

Look at the difficulty of creating a quantum computer if you really think that it's plausible shared quantum state would survive for a few billion years and interactions with a whole galaxy. Also, not sure what particular quantum number you think would have to be conserved and would influence Alice's decision of which way to configure her measurement apparatus - this would definitely require some new quantum property.