General hyperentanglement concentration for polarizationspatial- time-bin multi-photon systems with linear optics
Hong Wang2,1, Bao-Cang Ren1(), Ai Hua Wang1, Ahmed Alsaedi3, Tasawar Hayat3,4, Fu-Guo Deng2,3
1. Department of Physics, Capital Normal University, Beijing 100048, China 2. Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China 3. NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 4. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
Hyperentanglement has attracted considerable attention recently because of its high-capacity for longdistance quantum communication. In this study, we present a hyperentanglement concentration protocol (hyper-ECP) for nonlocal three-photon systems in the polarization, spatial-mode, and timebin partially hyperentangled Greenberger–Horne–Zeilinger (GHZ) states using the Schmidt projection method. In our hyper-ECP, the three distant parties must perform the parity-check measurements on the polarization, spatial-mode, and time-bin degrees of freedom, respectively, using linear optical elements and Pockels cells, and only two identical nonlocal photon systems are required. This hyper-ECP can be directly extended to the N-photon hyperentangled GHZ states, and the success probability of this general hyper-ECP for a nonlocal N-photon system is the optimal one, regardless of the photon number N.
. [J]. Frontiers of Physics, 2018, 13(5): 130315.
Hong Wang, Bao-Cang Ren, Ai Hua Wang, Ahmed Alsaedi, Tasawar Hayat, Fu-Guo Deng. General hyperentanglement concentration for polarizationspatial- time-bin multi-photon systems with linear optics. Front. Phys. , 2018, 13(5): 130315.
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