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Yash Lokare
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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?
DrChinese said: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.
LastOneStanding said: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.
DrChinese said:The only thing that can be teleported is the entangled state.
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.
Since teleportation occurs FTL if you so choose, anything else would effectively violate signal locality.
LastOneStanding said: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.
DrChinese said: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.
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
LastOneStanding said: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.
atyy said: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?
Quantum teleportation is a phenomenon in which the exact state of a quantum particle, such as an electron or photon, is transferred from one location to another without the particle physically traveling through the space in between.
Quantum teleportation relies on the principles of quantum entanglement, where two particles become connected in such a way that the state of one particle is dependent on the state of the other. By entangling two particles and then measuring one of them, the state of the other particle can be determined, allowing for the transfer of information without physically moving the particle.
Nuclei are the building blocks of atoms, and by teleporting them, we can potentially teleport entire atoms and molecules. This has implications for fields such as quantum computing and quantum cryptography, where the ability to transfer information without physical interference is crucial.
The standard model is a theoretical framework that describes the fundamental particles and forces of the universe. Quantum teleportation is a phenomenon that falls under the realm of quantum mechanics, which is a key component of the standard model.
In addition to advancements in quantum computing and cryptography, quantum teleportation of nuclei could also have implications for teleporting large molecules for use in medicine and material science. It could also potentially aid in the study of the fundamental particles and forces described by the standard model.