Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes

TL;DR

This paper introduces a measurement-based method for manipulating and detecting Majorana zero modes' non-Abelian statistics through teleportation, avoiding physical braiding, with proposed experimental setups for implementation.

Contribution

It presents a novel teleportation-based scheme for Majorana braiding and detection, eliminating the need for physical movement or hybridization of Majorana modes.

Findings

Proposes a measurement scheme for Majorana braiding via teleportation.

Suggests experimental setups using conductance and persistent current measurements.

Demonstrates detection of non-Abelian statistics without physical braiding.

Abstract

We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair of well-separated Majorana zero modes in a mesoscopic superconductor island is read out from the transmission phase shift in electron teleportation through the island in the Coulomb blockade regime. We propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop.