The protocols presented in this chapter are probabilistic teleportation protocols in which there are cases of failures with certain probabilities. Probabilistic teleportation schemes of various kinds have been discussed in works like [ 1 , 41 , 45 , 76 , 82 , 85 , 98 , 118 , 135 , 168 , 169 , 180 ]. Generally the quantum resources used in these protocols are not maximally entangled. This is one explanation for the probabilistic nature of these protocols. The justification of studying these protocols is that the generation and preservation of resources for these protocols are less difficult compared to that of those where maximally entangled states are used. Also, there is a class of resumable protocols in which the probabilistic teleportation process can be repeated in the case where the attempt fails in the first place [ 21 , 52 , 104 , 105 ].The protocols presented in this chapter are probabilistic teleportation protocols in which there are cases of failures with certain probabilities. Probabilistic teleportation schemes of various kinds have been discussed in works like [ 1 , 41 , 45 , 76 , 82 , 85 , 98 , 118 , 135 , 168 , 169 , 180 ]. Generally the quantum resources used in these protocols are not maximally entangled. This is one explanation for the probabilistic nature of these protocols. The justification of studying these protocols is that the generation and preservation of resources for these protocols are less difficult compared to that of those where maximally entangled states are used. Also, there is a class of resumable protocols in which the probabilistic teleportation process can be repeated in the case where the attempt fails in the first place [ 21 , 52 , 104 , 105 ].

Chapman & Hall/CRC eBooksDec 10, 20250 citations

Probabilistic Teleportation via Entanglement

Dechao Li, Shi Zhong-ke

International Journal of Theoretical PhysicsMar 17, 200810 citations

Probabilistic quantum teleportation in the presence of noise

Raphael Fortes, Gustavo Rigolin

We extend the research program initiated in [Phys. Rev. A 92, 012338 (2015)] from noisy deterministic teleportation protocols to noisy probabilistic (conditional) protocols. Our main goal now is to study how we can increase the fidelity of the teleported state in the presence of noise by working with probabilistic protocols. We work with several scenarios involving the most common types of noise in realistic implementations of quantum communication tasks and find many cases where adding more noise to the probabilistic protocol increases considerably the fidelity of the teleported state, without decreasing the probability of a successful run of the protocol. Also, there are cases where the entanglement of the channel connecting Alice and Bob leading to the greatest fidelity is not maximal. Moreover, there exist cases where the optimal fidelity for the probabilistic protocols are greater than the maximal fidelity $(2/3)$ achievable by using only classical resources, while the optimal ones for the deterministic protocols under the same conditions lie below this limit. This result clearly illustrates that in some cases we can only get a truly quantum teleportation if we use probabilistic instead of deterministic protocols.We extend the research program initiated in [Phys. Rev. A 92, 012338 (2015)] from noisy deterministic teleportation protocols to noisy probabilistic (conditional) protocols. Our main goal now is to study how we can increase the fidelity of the teleported state in the presence of noise by working with probabilistic protocols. We work with several scenarios involving the most common types of noise in realistic implementations of quantum communication tasks and find many cases where adding more noise to the probabilistic protocol increases considerably the fidelity of the teleported state, without decreasing the probability of a successful run of the protocol. Also, there are cases where the entanglement of the channel connecting Alice and Bob leading to the greatest fidelity is not maximal. Moreover, there exist cases where the optimal fidelity for the probabilistic protocols are greater than the maximal fidelity $(2/3)$ achievable by using only classical resources, while the optimal ones for the deterministic protocols under the same conditions lie below this limit. This result clearly illustrates that in some cases we can only get a truly quantum teleportation if we use probabilistic instead of deterministic protocols.

arXiv:1604.04644Physical Review AJun 23, 201642 citations

Probabilistic and controlled teleportation of unknown quantum states

Fengli Yan, Dong Wang

Physics Letters ASep 1, 2003173 citations

(2/3)

achievable by using only classical resources, while the optimal ones for the deterministic protocols under the same conditions lie below this limit. This result clearly illustrates that in some cases we can only get a truly quantum teleportation if we use probabilistic instead of deterministic protocols.