Remote preparation for single-photon two-qubit hybrid state with hyperentanglement via linear-optical elements

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.

Joint multi-party remote preparation of arbitrary qudit states via a <italic>d</italic>-level six-qudit Cluster state

“…由于发送方已知需 制备量子态信息, 因此可以依据已知需制备量子态信 息选取适当量子测量, 减少量子态远程制备所需通信 资源 [42,43] . Pati [44] [45,46] . 由于在量 子通信网络, 分布式量子计算等量子信息处理任务中 的重要应用, 量子态远程制备引起了研究者的广泛关 注.…”

Controlled remote implementation of operators via hyperentanglement

“…During the last years hyperentanglement has attracted much attention as it provides a high-capacity resource for quantum tasks. Applications include hyperentangled-Bell-state analysis [44][45][46], hyperentanglement concentration/purification [47][48][49], hyper CNOT gate [50], hyper quantum key distribution [51], hyper teleportation [52][53][54], hyper dense coding [55][56][57], hyper remote state preparation [58][59][60], hyper joint remote state preparation [61], hyper quantum secure direct communication [62][63][64] (notably, in [64] a single-step protocol for quantum secure direct communication has been designed which proves very useful for quantum networking), hyper quantum dialogue [65] and so on.…”

Remote state preparation by multiple observers using a single copy of a two-qubit entangled state

“…The task of remote state preparation has been generalised in several ways in the literature [6,7], and realised in magnetic [8] as well as optical systems by means of using single mode photonic qubit [9], polarised photons [10] via spontaneous parametric down conversion, and decoherent channels [11]. RSP has found several applications in quantum information such as deterministic creation of single-photon states [12], preparation of single-photon hybrid entanglement [13], initializing atomic quantum memory [14], and preparing qubits in quantum nodes [15].…”