Euclidean space with quantum OAM based on tensor analysis

Abstract

Orbital Angular Momentum (OAM) is the intrinsic property of electromagnetic waves, which can be applied in wireless transmission. When OAM is applied with the traditional modulation and coding, the Euclidean space model with the OAM dimension is required. Due to the introduction of quantum OAM, the OAM can be used to enlarge the traditional Euclidean space, and need higher-order tensor space to analyze traditional multi-dimensional Euclidean space. In this paper, the high-dimension Euclidean space is established based on quantum OAM in high-order tensor model, which can be used for the optimization of the joint coding and modulation. The performances of bit error rate confirm the capability of high-dimension Euclidean space model in the corresponding signal processing.