Abstract
Linear-optical-based quantum information processing has attached much attention since photon is an ideal medium for transmitting quantum information remotely. Until now, there are some important works in quantum state remote preparation, the method for reconstructing quantum state deterministically via linear optics. However, most of the methods are protocols to prepare single-qubit states remotely via linear-optical elements. In this article, we investigate the methods to prepare two-qubit hybrid states remotely. We present a deterministic remote state preparation scheme for an arbitrary two-qubit hybrid state via a hyperentangled Bell state, resorting to linear-optical elements only. The sender rotates the spatial-mode state and polarization state of the hyperentangled photon respectively in accordance with his knowledge of the two-qubit hybrid state, and the receiver can reconstruct the original two-qubit hybrid state by applying appropriate recovery operations. Moreover, we discuss the remote state preparation scheme for the two-qubit hybrid state via partially hyperentangled Bell state.
Highlights
Quantum entanglement is a precious resource in quantum communication[1,2,3,4,5,6,7,8]
To present the principle of two-qubit hybrid state remote preparation clearly, we first present the protocol for remote preparation of the single-photon two-qubit hybrid state via a hyperentangled Bell state, and generalize it to the case with a partially hyperentangled Bell state
In the present remote state preparation protocol, we use hyperentangled Bell state which entangled in polarization and spatial-mode DOFs as the quantum channel for remote preparation of an arbitrary two-qubit hybrid state
Summary
Quantum entanglement is a precious resource in quantum communication[1,2,3,4,5,6,7,8]. “In 2000, Bennett, Pati and Lo showed that the quantum entanglement and classical communication cost can be reduced since the sender can perform the proper measurement on his entangled particle in accordance with his information of original state. They studied the trade-off in remote state preparation between the required entanglement and the classical communication. In the implementation of quantum state remote preparation, transmitting quantum state remotely via linear-optical elements has attached a great deal of interest since photon is an ideal information carrier for long-distance quantum communication[60,61,62,63,64,65,66].
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