Joint remote preparation of single-photon three-qubit state with hyperentangled state via linear-optical elements
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Joint remote preparation of single-photon three-qubit state with hyperentangled state via linear-optical elements Ping Zhou1,2,3
· Li Lv1,2
Received: 10 July 2019 / Accepted: 23 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Transmitting quantum states securely and efficiently is an important task in quantum communication. In this article, we investigate the protocols for joint remote preparation of arbitrary three-qubit states with three-photon hyperentangled states simultaneously entangled in three degrees of freedom. First, we propose a protocol for deterministic joint remote preparation of a three-qubit state via a hyperentangled state simultaneously entangled in three degrees of freedom based on quantum state initialization. Second, we present a scheme for recursive joint remote preparation of the state via partially hyperentangled state, resorting to linear-optical elements only. The protocol has the advantage of having high channel capacity for joint remote preparing an arbitrary three-qubit state via hyperentangled state. Moreover, it is more convenient in application since it only requires linear-optical elements for joint remote preparation of arbitrary three-qubit state. Keywords Joint remote state preparation · Single-photon three-qubit state · Hyperentangled states
1 Introduction Quantum entangled state, the important resource in quantum information, plays an essential role in many quantum information processing tasks, such as quantum dense coding [1–5], quantum teleportation [6–8], quantum secure direct communication
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Ping Zhou [email protected]
1
College of Science, Guangxi University for Nationalities, Nanning 530006, People’s Republic of China
2
Key Lab of Quantum Information and Quantum Optics, Guangxi University for Nationalities, Nanning 530006, People’s Republic of China
3
Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning 530006, People’s Republic of China 0123456789().: V,-vol
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P. Zhou, L. Lv
[9–12], quantum remote state preparation [13–16], joint remote state preparation [17– 19], quantum computation [20–30], quantum random number generator [31], quantum state transfer [32,33] quantum entanglement concentration and quantum entanglement purification [34–39]. Exploiting the nonlocality of quantum entanglement shared in advance, quantum teleportation and quantum remote state preparation can transmit the unknown or known quantum state remotely without sending the quantum system physically [6,13]. In remote state preparation (RSP), the sender knows the information of prepared state completely [13–15]. The sender can perform some special chosen measurement in accordance with the information of the prepared state. Pati and Lo showed that for some special ensemble of qubits, the state can be remote-prepared with less classical communication cost and simpler measurements than that in quantum teleportation [13,14]. Researchers have devoted much interest in remote state preparation since its i
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