Deterministic Joint Remote Preparation of a Four-Qubit Cluster-Type State via GHZ States

Abstract

A scheme for the deterministic joint remote preparation of a fourqubit cluster-type state using only two Greenberger-Horne-Zeilinger (GHZ) states as quantum channels is presented. In this scheme, the first sender performs a two-qubit projective measurement according to the real coefficient of the desired state. Then, the other sender utilizes the measurement result and the complex coefficient to perform another projective measurement. To obtain the desired state, the receiver applies appropriate unitary operations to his/her own two qubits and two CNOT operations to the two ancillary ones. Most interestingly, our scheme can achieve unit success probability, i.e., P suc =1. Furthermore, comparison reveals that the efficiency is higher than that of most other analogous schemes.

Multi‐hop non‐destructive qudit teleportation via non‐maximally entangled GHZ channels

“…In the standard teleportation scheme, maximally entangled states [40, 59, 61, 62] were utilised as the quantum channels and it ignores the coupling effect between quantum states and their surroundings. Based on this, some researchers considered to teleport the unknown state by non‐maximally entangled channels [35, 41, 60, 63].…”

“…In addition, compared with Refs. [40, 59, 61, 62], different non‐maximally entangled channels are distributed among the participants in our scheme, leading to the reduction of the quantum channel requirement. Moreover, compared with most previous probabilistic teleportation [35, 41, 59, 61, 62], our scheme can be used to teleport a d ‐dimensional unknown state, which means that this system can transmit more information.…”

“…Compared with Refs. [35, 41, 59, 60] we consider the scenario that consists of multiple intermediate nodes between the sender and the receiver. In addition, compared with Refs.…”

Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State

“…However, with states of a generic set considered, the cost in RSP is equal to that in QT [5,7]. The research of RSP has been a popular direction in quantum communications, including joint remote state preparation (JRSP) protocols [8][9][10], controlled remote state preparation (CRSP) protocols [11][12][13] and deterministic remote state preparation (DRSP) protocols [14,15]. There have also been experimental studies of RSP [16,17], they can be applied to some encryption schemes [18][19][20][21][22].…”