Study on the Design of Simple Quantum Communications Based on Orbital Angular Momentum

Abstract

Quantum communication in a higher dimensional system provides a higher capacity, more secure, and smaller latency compared to that of quantum communications based on 2-dimensional system or qubit. This paper studies a simple design of quantum communications based on orbital angular momentum (OAM). We consider two system models for quantum communications based on OAM, i.e., (i) a general structure of a simple OAM-based quantum communication system and (ii) a simple quantum error correction coding scheme for 3-dimensional system or quantum ternary digit (qutrit). We theoretically evaluate the possible construction of OAM-based quantum communications supported by qutrit-based error corrections. We found that OAM-based quantum communications are possibly supported by the derived controlled-NOT (CNOT) gate and stabilizers for qutrit bit flip error corrections. The qutrit stabilizers have shown that they can completely correct all qutrit single bit-flip errors. The results are expected to open new development on qudit-based quantum communications and error corrections.