Controlled Remote State Preparation of an Eight-Qubit Entangled State
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Controlled Remote State Preparation of an Eight-Qubit Entangled State Zhi-wen Sang 1 Received: 30 April 2020 / Accepted: 11 August 2020/ # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
In this paper, we propose a controlled remote state preparation scheme for a known eightqubit entangled state. In this scheme, the sender, controller, and receiver share a six-qubit cluster state. The sender first performs a two-qubit state measurement, and the controller performs a corresponding two-qubit system measurement based on the sender’s measurement result. After receiving the measurement results from the sender and controller, the receiver can reconstruct this initial eight-qubit entangled state by using an appropriate unitary operation. This unitary operation depends on the different measurements of the sender and controller. Keywords Controlled remote state preparation . Two-qubit state measurement . Eight-qubit entangled state
PACS numbers 03.67.Hk03.65.Ud42.50.Dv
1 Introduction Quantum entangled states have important applications in quantum communication and quantum computing [1], and are important carriers for transmitting quantum information and verifying quantum theory. Transmission of quantum information requires the preparation of quantum states of different bits, and the preparation of these quantum states requires the use of quantum entangled states [2–5]. At present, different entangled states can be used to prepare quantum states with different bits [6–8]. Recently, some controlled remote state preparation (CRSP) schemes have been proposed using different entangled states [9–12]. Some of multiqubit CRSP schemes are discussed in the following.
* Zhi-wen Sang [email protected]
1
School of Physics and Electronic Information, Shangrao Normal University, Shangrao 334001, China
International Journal of Theoretical Physics
Ma et al. proposed a novel scheme for asymmetric bidirectional CRSP of an arbitrary fourqubit cluster-type state and a single-qubit state by using a ten-qubit entangled state as the quantum channel [13]. Binayak et al. introduced a CRSP protocol for a known four-qubit entangled state by using a six-qubit cluster state [14]. Ma et al. devised a CRSP scheme for an arbitrary four-qubit χ-state by using the pre-sharing partially entangled channel [15]. Nie et al. proposed a scheme for the CRSP of an arbitrary six-qubit cluster-type state with two sets of five-qubit GHZ states [16]. Ding and Jiang proposed a CRSP scheme for an arbitrary sevenqubit cluster-type state by using several GHZ entangled states [17]. In this paper, we propose a CRSP scheme for an eight-qubit entangled state. The three parties in the scheme share a six-qubit cluster state, and only the sender and controller know the information to prepare the eight-qubit entangled state. The receiver can reconstruct this quantum state with the help of the controller by performing a proper unitary operation. In order to reconstruct this quantum state, it is necessary to know the measurement results of the s
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