Quote Originally Posted by Eric View Post
It's too bad we can't setup an alarm or something on your particle without observing/disturbing it. In other words, it's too bad we can't setup something that reacts when your particle becomes tails without dis-entangling the Mars particle while it waits for the change.
There are some careful and subtle experiments which are 'kind of' doing that. They use a process called "weak measurement" whereby they try to tickle the system with the gentlest of feathers... metaphorically speaking. Each of the tickles tries to tease out the tiniest bit of information without collapsing the entangled wave.

It's so subtle that it's hard to tell if it's really a valid experiment from my POV. Undergrad education only gets me so far.