Decoherence of interacting Majorana modes

TL;DR

This paper investigates how dissipation and dephasing affect the decoherence of interacting Majorana modes in a fermion chain, revealing that long-range interactions can reduce decoherence rates, which benefits quantum information processing.

Contribution

It provides a detailed analysis of decoherence mechanisms for interacting Majorana modes, including the effects of long-range interactions and different noise regimes, which was not previously explored.

Findings

Decoherence rates differ between interacting and non-interacting Majorana modes.

Long-range interactions can reduce the decoherence rate.

Different noise types induce distinct decoherence mechanisms.

Abstract

We study the decoherence of Majorana modes of a fermion chain, where the fermions interact with their nearest neighbours. We investigate the effect of dissipation and dephasing on the Majorana modes of a fermionic chain. The dissipative and dephasing noises induce the non-parity- and parity-preserving transitions between the eigenstates of the system, respectively. Therefore, these two types of noises lead to the different decoherence mechanisms. In each type of noise, we discuss the low- and high-frequency regimes to describe the different environments. We numerically calculate the dissipation and dephasing rates in the presence of long-range interactions. We find that the decoherence rate of interacting Majorana modes is different to that of non-interacting modes. We show the examples that the long-range interactions can reduce the decoherence rate. It is advantageous to the potential applications of quantum information processing.