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Main Question or Discussion Point
Like the quantum teleportation of atomic and quantum states of atoms through photons,do u think that the nucleus would be teleported on day and would the standard model ever support it?
It's really unclear what you're trying to say here. For one thing, "an eigenstate" without further details doesn't mean anything. An eigenstate of what? Any pure quantum state is the eigenstate of some Hermitian operator. Second, quantum teleportation uses entangled states, but the state you teleport can be whatever you want.The ability to teleport quantum states is extremely constrained. Even with photons, the teleportation is not of an eigenstate but rather a more general state - an entangled state.
Sorry, I don't get what you are trying to say. I don't think you disagree with my answer to the OP.It's really unclear what you're trying to say here. For one thing, "an eigenstate" without further details doesn't mean anything. An eigenstate of what? Any pure quantum state is the eigenstate of some Hermitian operator. Second, quantum teleportation uses entangled states, but the state you teleport can be whatever you want.
Are you confusing teleportation with entanglement swapping (a particular application of teleportation)? In basic teleportation, you have three states from the same Hilbert space—one arbitrary state to be teleported and two in an entangled pair. The one to be teleported can be anything you like . The entangled state is not what's being teleported, it's what you use to teleport the target state.The only thing that can be teleported is the entangled state.
Huh? You certainly can teleport a specific known value of spin. If Alice wants to teleport a spin-up state to Bob, they prepare a Bell state and each take half, Alice does a unitary on her end with her half of the pair and the spin-up state and then does a Bell measurement, tells Bob the result, he does a unitary, and then he's got the spin-up state. Of course teleporting known states kind of defeats the point because Alice could just instruct Bob to prepare a spin-up state himself. The main point is that Alice can send any state to Bob, whether she knows what it is or not, at the expense of destroying her copy. This requires one Bell pair and two bits of classical communication as resources per qubit of quantum information teleported. I don't know if anything is known about teleportation with continuous bases, so I can't comment on whether it can be done with position and momentum. But I don't see anything fundamentally preventing it at least.You cannot teleport position, you cannot teleport momentum, you can't even teleport a spin of a specific known value. As far as I know, a superposition is all that can be teleported.
No, it does not, because quantum teleportation requires a classical communication channel to complete the exchange. It sounds to me like you need to review how quantum teleportation works.Since teleportation occurs FTL if you so choose, anything else would effectively violate signal locality.
Well I mostly agree with the above,but again don't see the relevance to the OP's question (which was what I was addressing). Teleportation is highly constrained (to what can be measured simultaneously) and requires classical information to make anything of what you teleported. You do NOT teleport a specific known state, you teleport one of several possible states; I guess you are correct to call it teleportation once the classical signals arrive and you put it all together. Of course position *and* momentum cannot be teleported, I am sure you mean position OR momentum.Are you confusing teleportation with entanglement swapping (a particular application of teleportation)? In basic teleportation, you have three states from the same Hilbert space—one arbitrary state to be teleported and two in an entangled pair. The one to be teleported can be anything you like . The entangled state is not what's being teleported, it's what you use to teleport the target state.
Huh? You certainly can teleport a specific known value of spin. If Alice wants to teleport a spin-up state to Bob, they prepare a Bell state and each take half, Alice does a unitary on her end with her half of the pair and the spin-up state and then does a Bell measurement, tells Bob the result, he does a unitary, and then he's got the spin-up state. Of course teleporting known states kind of defeats the point because Alice could just instruct Bob to prepare a spin-up state himself. The main point is that Alice can send any state to Bob, whether she knows what it is or not, at the expense of destroying her copy. This requires one Bell pair and two bits of classical communication as resources per qubit of quantum information teleported. I don't know if anything is known about teleportation with continuous bases, so I can't comment on whether it can be done with position and momentum. But I don't see anything fundamentally preventing it at least.
Well, OP was asking about quantum teleportation and your response had nothing to do with teleportation. So correcting it was very relevant.Well I mostly agree with the above,but again don't see the relevance to the OP's question (which was what I was addressing).
Teleportation, by definition, is not completed until the classical information has arrived and been implemented. You seem to be assuming the original poster was asking about instantaneous teleportation of states. I see no such assumption in the original post. Quantum teleportation is not about doing something here and instantaneously having something happen there. Classical communication to complete the exchange, whether it's photons or OP's question about whole atoms, is assumed. That's not what I call teleportation it's what everyone in quantum information calls it. You do teleport a particular state, not a mixture, because the teleportation is not complete until Bob learns the results of Alice's measurement and modifies accordingly. You are using very standard terminology incorrectly.Teleportation is highly constrained (to what can be measured simultaneously) and requires classical information to make anything of what you teleported. You do NOT teleport a specific known state, you teleport one of several possible states; I guess you are correct to call it teleportation once the classical signals arrive and you put it all together.
Again, huh? States are teleported, not particular observables associated with states, so this comment doesn't even parse. One doesn't teleport "position" and "momentum". You teleport states that have some particular position and momentum representations (though, again, I'm not sure if teleportation has been shown to work in infinite dimensional Hilbert spaces—that is what I meant when I said I don't know if this works for position and momentum). Complementary observables, which it sounds like you're connecting this to, have nothing to do with this.Of course position *and* momentum cannot be teleported, I am sure you mean position OR momentum.
Once again, the entire point of teleportation is that you don't have the analyze the state you're trying to send. It is a method to allow you to move a state from A to B, without physically carrying it there and without having to know what state it is!A system of more than one particle (such a nucleus) would be far more complex to analyze and constraints on knowledge would prevent you from getting very close to describing it as it sits
"How rude!"I think someone with the "Science Advisor" tag has the responsibility of not trying to speak authoritatively on topics they are unfamiliar with. There's nothing wrong with being unfamiliar with something, but just kind of making it up as you go is not acceptable. There are plenty of good resources to explain how quantum teleportation works and I think you should read some before contributing any more to this thread.
If my terminology is bothersome, fine, I stand suitably corrected.My initial instinct is to agree with you because I've usually seen teleportation described in the Schroedinger picture. But what I don't immediately see is whether DrChinese could not be right if one works in the Heisenberg picture where there is no time evolution of states?