# Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing

## TL;DR

This paper explores how transport measurements in a topological wire system can reveal Majorana qubit states and discusses how read-out processes induce dephasing, providing potential signatures for Majorana bound states.

## Contribution

It introduces a model for a Majorana qubit system with a superconducting bridge and quantum dots, analyzing transport signatures and read-out-induced dephasing effects.

## Key findings

- Interference patterns distinguish qubit basis states.
- Read-out process causes dephasing and relaxation.
- Transport signatures depend on control parameters like gate voltages.

## Abstract

Motivated by recent proposals of Majorana qubits and the read-out of their quantum state we investigate a qubit setup formed by two parallel topological wires shunted by a superconducting bridge. The wires are further coupled to two quantum dots, which are also linked directly, thus creating an interference loop. The transport current through this system shows an interference pattern which distinguishes two basis states of the qubit in a QND measurement. We analyze various properties of the interference current and the read-out process, including the resulting dephasing and relaxation. We also analyze the effects of varying control parameters such as gate voltages on the current. The characteristic dependencies could serve as a signature of Majorana bound states.