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

Abstract

Hyperentangled Bell states analysis (HBSA) is an essential building block for certain hyper-parallel quantum information processing. We propose a complete and deterministic HBSA scheme encoded in spatial and polarization degrees of freedom (DOFs) of two-photon system assisted by a fixed frequency-based entanglement and a time interval DOF. The parity information the spatial-based and polarization-based hyper-entanglement can be distinguished by the distinct time intervals of the photon pairs, and the phase information can be distinguished by the detection signature. Compared with previous schemes, the number of the auxiliary entanglements is reduced from two to one by introducing time interval DOF. Moreover, the additional frequency and time interval DOFs suffer less from the collective channel noise.

Graphical abstract

Keywords

hyperentangled Bell states analysis / multiple degrees of freedom / time interval

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 11604012, the Fundamental Research Funds for the Central Universities under Grant No. FRF-TP-19-011A3, the National Natural Science Foundation of China under Contract 61901420, the Shanxi Province Science Foundation for Youths under Contract No. 201901D211235, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Contract No. 2019L0507.

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