AUTHOR=Yu Chang-Qi , Zhang Zheng , Qi Ji , Ren Bao-Cang TITLE=Self-assisted deterministic hyperentangled-Bell-state analysis for polarization and double longitudinal momentum degrees of freedom of photon system JOURNAL=Frontiers in Quantum Science and Technology VOLUME=Volume 1 - 2022 YEAR=2022 URL=https://www.frontiersin.org/journals/quantum-science-and-technology/articles/10.3389/frqst.2022.985130 DOI=10.3389/frqst.2022.985130 ISSN=2813-2181 ABSTRACT=Hyperentangled state analysis is an important module in high-capacity quantum communication. We present a self-assisted deterministic hyperentangled-Bell-state analysis (HBSA) scheme for photon system entangled in three degrees of freedom (DOFs), where 64 polarization-double longitudinal momentum hyperentangled Bell states are completely distinguished. In this HBSA scheme, the 4 first longitudinal momentum Bell states are distinguished determinately by nondestructive first longitudinal momentum Bell state analyzer, which is constructed with cross-Kerr nonlinearity medium. The 16 second longitudinal momentum-polarization hyperentangled Bell states are distinguished determinately by self-assisted second longitudinal momentum-polarization hyperentangled Bell state analyzer using linear optical elements, where the first longitudinal momentum Bell state and time-bin entangled state are used as auxiliary. Using this self-assisted method, the application of nonlinear optical resource in HBSA scheme has been largely reduced, which makes this self-assisted deterministic HBSA scheme has potential application prospects in high-capacity quantum communication.