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

TL;DR

This paper introduces a deterministic hyperentangled Bell states analysis scheme using spatial, polarization, frequency, and time interval degrees of freedom, reducing auxiliary entanglements and enhancing noise robustness.

Contribution

A novel HBSA scheme that reduces auxiliary entanglements from two to one by leveraging frequency and time interval DOFs, improving efficiency and noise resilience.

Findings

Achieves complete and deterministic HBSA with fewer auxiliary resources.

Distinguishes parity and phase information via time intervals and detection signatures.

Reduces impact of collective channel noise on analysis.

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.