Optimal Superdense Coding Capacity in the Non-Markovian Regime

TL;DR

This paper investigates how non-Markovian dynamics influence superdense coding capacity, demonstrating that non-classical correlations can optimize quantum communication efficiency in non-Markovian environments.

Contribution

It introduces a model to evaluate the impact of non-Markovian effects on superdense coding, highlighting the role of non-classical correlations in optimizing capacity.

Findings

Non-Markovian effects enhance superdense coding capacity.

Non-classical correlations correlate with quantum Fisher information.

Optimal capacity detection is enabled by non-Markovian dynamics.

Abstract

Superdense coding is a significant technique widely used in quantum information processing. Indeed, it consists of sending two bits of classical information using a single qubit, leading to faster and more efficient quantum communication. In this paper, we propose a model to evaluate the effect of backflow information in a superdense coding protocol through a non-Markovian dynamics. The model considers a qubit interacting with a structured Markovian environment. In order to generate a non-Markovian dynamic, an auxiliary qubit contacts a Markovian reservoir in such a way that the non-Markovian regime can be induced. By varying the coupling strength between the central qubit and the auxiliary qubit, the two dynamical regimes can be switched interchangeably. An enhancement in non-Markovian effects corresponds to an increase in this coupling strength. Furthermore, we conduct an examination of various parameters, namely temperature weight, and decoherence parameters in order to explore the behaviors of superdense coding, quantum Fisher information, and local quantum uncertainty using an exact calculation. The obtained results show a significant relationship between non-classical correlations and quantum Fisher information since they behave similarly, allowing them to detect what is beyond entanglement. In addition, the presence of non-classical correlations enables us to detect the optimal superdense coding capacity in a non-Markovian regime.