Deterministic Joint Remote Preparation of a Four-qubit Cluster-type State via GHZ states
Hai-bin Wang, Xiao-Yan Zhou, Xing-xing An, Meng-Meng Cui, De-sheng Fu

TL;DR
This paper presents a deterministic scheme for joint remote preparation of a four-qubit cluster state using only two GHZ states, achieving unit success probability and higher efficiency than similar methods.
Contribution
It introduces a new deterministic protocol for remote state preparation of four-qubit cluster states using minimal quantum channels, with guaranteed success.
Findings
Achieves unit success probability (Psuc=1).
Demonstrates higher efficiency compared to similar schemes.
Uses only two GHZ states as quantum channels.
Abstract
A scheme for the deterministic joint remote preparation of a four- qubit cluster-type state using only two Greenberger-Horne-Zeilinger (GHZ) states as quantum channels is presented. In this scheme, the first sender per- forms 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., Psuc=1. Furthermore, comparison reveals that the efficiency is higher than that of most other analogous schemes.
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