Quantum asymmetric cyclic teleportation of arbitrary single-particle and two-particle states

Abstract

In this paper, two three-party cyclic teleportation schemes for real arbitrary quantum states of a single particle and two particles are proposed for the first time. In the first ([Formula: see text]) scheme, Alice sends any single particle state to Bob, Bob sends any two-particle states to Charlie, and meanwhile Charlie sends any single particle state to Alice. In the second ([Formula: see text]) scheme, with the help of the controller David, Alice sends any two-particle states to Bob, Bob sends any two-particle states to Charlie, and Charlie sends any single particle state to Alice simultaneously. Based on the maximum entangled quantum channel shared in advance, the communication participants carry out some Bell state measurement (BSM) measurements and carry out corresponding unitary transformation according to the results published by each other. After that, the cyclic teleportation of predetermined quantum information can be successfully realized. The success probability of teleportation of both schemes can reach 100%. Finally, this paper briefly analyzes the security of the two schemes and compares them with some previously published schemes from the perspective of inherent efficiency. The results show that the two schemes proposed in this paper are safe and have high inherent efficiency. Different from the previous symmetric cyclic quantum teleportation methods, the asymmetric cyclic quantum teleportation schemes proposed in this paper are more universal.

Hierarchical controlled cyclic quantum teleportation

“…(1) This article is the first to propose a hierarchical controlled cyclic quantum teleportation method, which has certain innovations. The article [28][29][30][31][32][33][34][35] provides an ordinary cyclic quantum teleportation, where only one controller cannot achieve hierarchical control and cannot control information transmission with different importance levels separately. Article [36] proposes a long-distance quantum teleportation scheme that can transmit unknown quantum states from the sender to any one of multiple receivers.…”

“…In this scheme, the three parties involved in communication simultaneously achieved cyclic transmission of a singlequbit unknown quantum state, which improved communication efficiency [28]. Later, many (general or controlled) symmetric or asymmetric bidirectional quantum teleportation schemes and cyclic quantum teleportation schemes were proposed and further applied to scenarios where the number of agents is extended to four or N, or with one or more controllers [29][30][31][32][33][34][35].…”

Bidirectional hierarchical quantum teleportation based on an eight-qubit entangled state

“…Bennett et al pioneered the quantum teleportation protocol in 1993 [17], from then on, scholars have proposed a lot of schemes for the teleportation of arbitrary single-qubit states, two-qubit states, and different forms of W states, GHZ states, cluster states, other quantum states theoretically and experimentally by using various entangled quantum channels [18][19][20][21]. On this basis, to improve communication efficiency and controllability, researchers have successively proposed many quantum teleportation schemes with control parties, as well as (controlled) bidirectional teleportation and (controlled) cyclic teleportation schemes [22][23][24][25].…”