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

doi:10.1007/s11467-018-0801-3

Front. Phys.

2018, Vol. 13

Issue (5) : 130315 https://doi.org/10.1007/s11467-018-0801-3

RESEARCH ARTICLE

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

Hong Wang^2,¹, Bao-Cang Ren¹(

), Ai Hua Wang¹, Ahmed Alsaedi³, Tasawar Hayat^3,⁴, Fu-Guo Deng^2,³

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

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Abstract

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.

Keywords hyperentanglement concentration linear optics long-distance quantum communication high-capacity polarization-spatial-time-bin hyperentanglement

Corresponding Author(s): Bao-Cang Ren

Issue Date: 13 June 2018

Cite this article:

Hong Wang,Bao-Cang Ren,Ai Hua Wang, et al. General hyperentanglement concentration for polarizationspatial- time-bin multi-photon systems with linear optics[J]. Front. Phys. , 2018, 13(5): 130315.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-018-0801-3
https://academic.hep.com.cn/fop/EN/Y2018/V13/I5/130315

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