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Laser Physics

Schemes for deterministic joint remote preparation of an arbitrary tripartite four-qubit entangled state

Peng-Cheng Ma, Gui-Bin Chen, Xiaowei Li, You-Bang Zhan

Published Aug 31, 2016• 4 citations
Publisher

Abstract

Abstract We present two schemes for the joint remote state preparation (JRSP) of an arbitrary tripartite four-qubit entangled state with complex coefficients via four and two three-qubit GHZ states as the quantum channel, respectively. In these schemes, the two senders share the original state which they wish to help the receiver remotely prepare. To complete the JRSP schemes, some novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if the two senders collaborate with each other, and perform projective measurements under a suitable measuring basis on their own qubits respectively, can the receiver reconstruct the original state by means of some appropriate unitary operations. We demonstrate, in our both schemes, the total success probability of the JRSP can reach 1. Moreover, compared with the first scheme in this paper, the advantage of the second scheme is that the entanglement resource can be reduced.

DOI
10.1088/1054-660x/26/10/105201

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Abstract We present two schemes for the joint remote state preparation (JRSP) of an arbitrary tripartite four-qubit entangled state with complex coefficients via four and two three-qubit GHZ states as the quantum channel, respectively. In these schemes, the two senders share the original state which they wish to help the receiver remotely prepare. To complete the JRSP schemes, some novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if the two senders collaborate with each other, and perform projective measurements under a suitable measuring basis on their own qubits respectively, can the receiver reconstruct the original state by means of some appropriate unitary operations. We demonstrate, in our both schemes, the total success probability of the JRSP can reach 1. Moreover, compared with the first scheme in this paper, the advantage of the second scheme is that the entanglement resource can be reduced.
We present two schemes for joint remote preparation of an arbitrary four-qubit j\c{hi}i -type entangled state via three three- and (N+1)-qubit GHZ states as the quantum channel, respectively. In these schemes, two senders (or N senders) share the original state which they wish to help the receiver to remotely prepare. To complete the JRSP schemes, several novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if two senders (or N senders) collaborate with each other, and perform projective measurements under suitable measuring basis on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations and suitable C-NOT gates. Compared with the previous schemes for the JRSP of four-qubit |\c{hi}>-type state, the advantages of the present schemes are that the total successful probability of JRSP can reach 1 and the entanglement resource can be reduced
In this paper, two novel schemes for deterministic joint remote state preparation (JRSP) of arbitrary single- and two-qubit states are proposed. A set of ingenious four-particle partially entangled states are constructed to serve as the quantum channels. In our schemes, two senders and one receiver are involved. Participants collaborate with each other and perform projective measurements on their own particles under an elaborate measurement basis. Based on their measurement results, the receiver can reestablish the target state by means of appropriate local unitary operations deterministically. Unit success probability can be achieved independent of the channel's entanglement degree.
In this paper, we propose a novel scheme for deterministic joint remote state preparation (JRSP) of an arbitrary five-qubit Brown state with the assistance of several GHZ entangled states and a two-qubit unitary operation. A useful solution of joint remote preparation of an arbitrary three-qubit state is put forward firstly. Next, all senders perform appropriate projective measurement under suitable measurement basis. Finally, based on their measurement results, the target five-qubit Brown state can be prepared by introducing two auxiliary particles and making appropriate local unitary operations with success probability 1.
In this paper, we propose a scheme for deterministic joint remote state preparation (JRSP). Two spatially separated senders intend to help a receiver remotely prepare an arbitrary single-qubit state. Four-particle partially entangled state is constructed to serve as the quantum channel. By determining right unitary operations for the senders and appropriate recovery operations for the receiver, the target state can be reestablished with unit success probability, irrespective of the channel parameter.
We propose a novel scheme to realize remote preparation of an arbitrary tripartite four-particle entangled state via two three-particle GHZ states as the quantum channel. In this scheme, the sender should employ several novel two-particle projective measurements on her particles. According to the sender’s measurement outcome, the receiver will carry out local unitary operations and suitable C-NOT gates on his particles to recover the desired state. It is shown that, in our scheme, the total successful probability of the RSP can reach 1.
A novel deterministic joint remote preparation scheme of arbitrary four-particle genuine entangled state from one sender to either of two receivers is proposed. Two three-particle Green-Horne-Zeilinger (GHZ) states and one four-particle GHZ state are used as the quantum channel. The presented scheme is realized through orthogonal projective measurement of the Hadamard transferred basis and recovery operation U|ijk〉. Some useful and general measurement bases have been constructed. The classical communication cost of the presented scheme is also calculated. Our analysis confirms the feasibility and validity of the proposed method, and shows that it has a 100% probability of success in preparation of the target quantum state.