Just in case anyone else is struggling with this, as I was :)
>Here's something that, as a kid, I couldn't get anyone to explain to me: "Why can't you signal using an entangled pair of photons that both start out polarized up-down? By measuring A in a diagonal basis, you destroy the up-down polarization of both photons. Then by measuring B in the up-down/left-right basis, you can with 50% probability detect the fact that a measurement has taken place, if B turns out to be left-right polarized."
He must have been a pretty smart kid...
Lets say you use pure energy to create a particles with a non zero spin (substitute a charge if spin is confusing) that immediately separate from each other at high speed. The rules of the universe demand that the sum of the spins (or charges) equals 0: eg if one is an electron the other must be a positron. So now you have two particles flying towards you and me, but no one in the universe knows which is which except possibly the particles themselves, so we say they are entangled. If I look at the particle coming towards me I have no way of knowing if I will see a positron or a electron. When I do look, I know what you will see if you look. Which is nice, but no information has passed from me to you. Instead have both learnt something new. The definition of communication is you pass some knowledge you knew before the process started onto me. (In fact we learnt the same thing.)
The word entanglement seems to imply if one particle changes the other undergoes a corresponding change. Whether that's true or not is a bit of a mystery. In any case it doesn't matter how it happens. Even if there was a "global variable" and even if it suddenly changed value when one of us observed it, merely observing it destroys the entanglement. So yes we both learnt something new and maybe it was communicated faster than the speed of light, but we now know the first observation doesn't communicate any information we knew before. And because observing it destroyed the entanglement no new information can be transmitted.
However, a major point of contention is that humanity occurs far too soon in the life of the universe. It has taken life on Earth 3.5 billion years to evolve to us, that means that there have been just under 4 epochs of human evolutions in the age of the universe (and just over 1 epochs of human evolutions in the age of Earth). Chances are, using sci-fi nomenclature, that we are the "ancients." We have quite a lot to get done for those that follow.
Instant comm's to Mars rover or even voyager.
Of course no ones figured out how to make use of entanglement for information transfer.
Pops up a lot in Sci-Fi, reading Three-Bodied Problem now and the aliens sent "sophons" basically probes the size of protons at near the speed of light to earth from Alpha Centauri, they arrived in a few years while their invasion fleet will take 400 years to get here. The sophons spy and interfere with earth communicating with aliens via quantum entanglement.
Saying "no one's figured it out" is misleading because it creates the impression that it's an engineering problem to be solved.
According to our best understanding of quantum mechanics, the laws of physics fundamentally do not permit faster-than-light communication, whether through entanglement or any other mechanism.
Communications overhead between the nodes is bad enough as it is.
However I would say the reason it is used so much in sci-fi is it currently the one way we can cause action at a distance faster than light, which is so tantalizingly close to communication.
> we can cause action at a distance
is not true, either.
I didn't think this was settled and depends on your interpretation of QM: https://en.wikipedia.org/wiki/Action_at_a_distance
But there is something like standard textbook quantum mechanics which most physicists subscribe to, i.e. the Copenhagen interpretation, and while I'm not saying this is the interpretation everyone should follow and believe in (in fact, there are good reasons to be dissatisfied with this interpretation), the term "action at a distance" was coined in the context of the Copenhagen interpretation, so I think should therefore also be interpreted in this context.
Now, Copenhagen is a local and non-realist theory, the latter of which meaning among other things that the wave function is not believed to be an object of reality. Therefore, in this interpretation, the collapse of the wave function is merely a tool for predicting the outcome of a measurement and not something that's believed to actually happen. The same thing goes for an "instantaneous collapse" at a distance — this action does not exist in reality.
I know there is probably going to be someone who objects to me saying that Copenhagen is non-realist and local. But those people will have to explain to me how they would bring the actual existence of the wave function and its collapse into agreement with relativity and, in particular, with different observers who come to different conclusions about when the wave function collapses. For instance, for one observer, it might be Alice who causes the wave function to collapse and, thus, Bob to measure a certain outcome but then there is always going to be another observer who will say the exact opposite, namely that Bob caused the collapse. So, essentially, if you really think the wave function is an object of reality, all hell breaks lose.
Needless to say, even if you completely disregard these issues and still want to think of Copenhagen as a realist but then necessarily non-local theory (in which case I'd say you should really give your theory a different name), this is all just splitting hairs because the only thing that matters is that there's no FTL transfer of information. This is the only experimentally verifiable statement we can make.
Say you have two sets of two entangled particles, all four particles in similar states. You have one particle from each set, your partner has the corresponding particles in the sets.
You check both particles you have, and:
- if both particles have similar state, then your partner hasn't checked any of their particle states, because neither have collapsed.
- if one particle has collapsed and is in a different state than the other particle, then you know your partner has at least checked the state of one of particle sets, possibly both.
If you partner is 50 light years away and checks it only seconds prior to your check, then they are signalling you at faster-than-light travel, right?
Think faster-than-light XOR ;)
It is perhaps less nonsensical (in a "common sense" way) to think of it in terms of the many-worlds interpretation. The moment you have created the photons, you have forked the universe - but observers on both sides are still identical in both worlds, because they haven't done anything that'd allow them to figure out which universe they're in. So for each observer, we treat both "versions" of that observer as one and the same.
Now, when one of the observers measures their photon, they figure out which fork they're in. And then in that universe, the other observer measuring it will also get the same result, of course, proving that they're also in that same universe. And in the other universe, the second observer will get the opposite result, again, proving that they're in that other universe. But neither measurement actually caused anything to happen, nor did they get any information about the opposite observer in their universe as a result of it.
The real proof is that if you could, we'd already have this technology and high-speed traders would already be using it. If it could exist, we have all the tools to build it; it's far simpler than even a 4-qubit quantum computer, which we've also built. We don't have it because entanglement can't be used that way.
> assuming you have some way to change the state of one with out breaking the entanglement
Second, this isn't possible.
When you measure the entangled pair, you know they'll be correlated: if one is A, the other is B, and vice versa. But when you measure one of the particles, you have no idea if you're going to get A or B. You don't have a way to force the entanglement to go a direction you want. So it doesn't serve as a communication channel.
This isn't possible. Not only is it quantum mechanically impossible to change the state of one without breaking the entanglement, it is quantum mechanically impossible to observe the state of one of them without breaking the entanglement. Remember that in quantum mechanics "interacting," "changing the state," and "observing" are all the same thing.
Say you had millions of entangled particles, you ship their companions to the other end of the galaxy. You now have a million bit array to encode data into for 1 time use?
I’m guessing you can’t know whether a partical is currently in a state of entanglement...
EDIT: my question has already be asked & answered several times...one such example: https://physics.stackexchange.com/questions/207169/can-i-tel...