Deterministic and complete hyperentangled Bell states analysis assisted by frequency and time interval degrees of freedom

Practically Enhanced Hyperentanglement Concentration for Polarization-Spatial Hyperentangled Bell States with Linear Optics and Common Single-Photon Detectors

“…For the desired state |Ω 2 shown in Eq. ( 13), after photon A (B) passes through BS 5 (BS 5 ) and HWP [31,37]. Here D(2t, 0) represents that the first photon has a relative time delay of 2t compared with the second photon, while D(0, 0) means that the two photons have no relative time delay.…”

“…The hyperentangled states can break the channel capacity limit of superdense coding [23] and provide substantial applications in hyperparallel optical quantum computing [24][25][26] and hyperparallel communication, such as hyperentanglement swapping [27,28], hy- * hrwei@ustb.edu.cn perentangled Bell states analysis [17,[27][28][29][30][31], and hyperentanglement purification [32][33][34]. Moreover, hyperentangled states can be used to accomplish some specific tasks that are impossible to achieve in single-DOF systems, such as complete and deterministic Bell states analysis with linear optics [20,[35][36][37].…”

Complete analysis of hyperentangled Bell state in three degrees of freedom using Kerr effect and self-assisted mechanism

“…In 2019, Kong et al experimentally demonstrated the complete orbital angular momentum of BSA without auxiliary photons by using linear optics and additional entanglement [21]. In many hyperentanglement-based quantum information processing protocols, the deterministic distinguishing of a set of orthogonal hyperentangled Bell states is often required for getting the information [22][23][24]. The complete hyperentangled Bell state analysis (HBSA) for two-photon system has attracted much attention in the past decade, and research has shown that it is impossible to accomplish the complete HBSA if only linear optics is utilized and no auxiliary quantum resource is introduced [25][26][27].…”

Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

“…[22] So far, hyperentanglement presents lots of unique opportunities for new kinds of QIP. For instance, it can be used to greatly improve the channel capacity and the security of quantum communication in linear photonic superdense coding, [26] entanglement witness, [27] quantum key distribution, [28] one-way quantum computing, [29] complete and deterministic Bell-state analysis, [30,31] teleportation-based quantum networking, [32] linear-optics heralded amplification, [33] hyperparallel quantum gates, [34][35][36][37][38][39] etc.…”