Einstein, Podolsky, and Rosen correlations, quantum teleportation, entanglement swapping, and special relativity

A criterion for quantum teleportation of an arbitrary N -particle state via a 2 N -particle quantum channel

“…Those viewpoints could be suggested by the entanglement swapping. [27] However, with the research progress in entanglement of multiparticle, the question about "entanglement matching" between the measurement base and quantum channel needs to be further studied.…”

“…When not all the judgment operators can be written in the form as shown in Eq. (27) or not all the corresponding diagonal matrixes Λ j 2 N are the identity matrixes, the total probability of the successful transformation is less than unity. The examples can be seen in Refs.…”

“…No matter what is used as the measurement base, the judgment operators must always not be written in the form as shown in Eq. (27). Accordingly, the GHZ state and the W state cannot be employed to faithfully teleport unknown arbitrary two-particle state.…”

“…And the physic process of teleportation in principle is accompanied by the process of entanglement swapping. [27] Both measurement base and quantum channel play a crucial role in those processes. In other words, there is an important question of entanglement match between measurement base and quantum channel [24] in the teleportation process.…”