# Open multistate Majorana model

## TL;DR

This paper analyzes the multistate Majorana model under dissipation and dephasing, demonstrating increased fragility with larger Hilbert spaces and highlighting the challenges noise introduces to problem reformulation.

## Contribution

It provides a theoretical analysis of the effects of noise on the multistate Majorana model, showing limitations in simplifying the problem due to dissipation and dephasing.

## Key findings

- System becomes more fragile to quantum noise with larger Hilbert space
- Cannot reduce the problem to independent spin-1/2 problems due to noise effects
- Noise prevents straightforward reformulation of the model

## Abstract

The multistate Majorana model in the presence of dissipation and dephasing is considered. It is proven that increasing the Hilbert space dimension the system becomes more and more fragile to quantum noise. The impossibility to recast the problem in the form of a set of independent spin-$1/2$ problems because of the presence of the noise is pointed out.