General hyperentanglement concentration for polarization-spatial-time-bin multi-photon systems with linear optics

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

“…Quantum entanglement [1] has been considered as an essential asset to quantum communication and computation tasks. Bell states analysis (BSA), which is defined as the projection of two qubits onto maximally entangled states, is a crucial element in many important quantum information processing tasks, including measurement-based quantum computation [2,3], quantum teleportation [4,5], entanglement swapping [6,7], quantum dense coding [8][9][10], quantum key distribution [11][12][13][14][15][16][17], entanglement concentration [18][19][20], and quantum secure direct communication [21][22][23][24][25][26][27]. However, it is fail to unambiguously discriminate all of the four single degree of freedom (DOF) shared Bell states with only linear optical elements [28,29], which is called a complete linear optical BSA for photonic system.…”

Hyperentanglement-assisted hyperdistillation for hyper-encoding photon system

“…Since the first entanglement concentration protocol was proposed by Bennet et al using collective measurement [53], many entanglement concentration protocols have been proposed for photon system using linear optical elements [54][55][56][57][58] and nonlinear optical elements [59][60][61][62][63], and some of the entanglement concentration protocols have been demonstrated experimentally using linear optical elements [54,55]. Hyperentanglement concentration protocols [64][65][66][67][68][69][70][71][72] have also attracted much attention for recovering the partially hyperentangled state to maximally hyperentangled state with certain success probability.…”

Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states

“…These DoFs can be used to construct hyper-entanglement, which refer to the entangled in multiple DoFs of a quantum system simultaneously. Recently, hyper-entanglement becomes a promising quantum resource due to its high capacity of channel, and it has extensive applications in quantum information processing, such as Bell-state analysis with hyper-entanglement [38][39][40][41][42][43][44], quantum repeaters [45], entanglement swapping [42,46,47], hype-entanglement concentration [48,49], and so on. So far, experimental progress of hyper-entanglement generation has been reported using different photonic DoFs [50][51][52][53][54][55][56][57][58].…”