Towards realistic implementations of a Majorana surface code

TL;DR

This paper proposes practical methods for implementing a Majorana-based surface code using conventional conductance probes and charge pumping, potentially enabling experimental realization of robust quantum error correction.

Contribution

It introduces accessible techniques for stabilizer measurements and qubit manipulations in Majorana surface codes, advancing towards realistic quantum computing implementations.

Findings

Projective stabilizer measurements via tunnel conductance probes

Qubit manipulations through charge pumping with single-electron transistors

Implementation scheme is experimentally feasible with current technology

Abstract

Surface codes have emerged as promising candidates for quantum information processing. Building on the previous idea to realize the physical qubits of such systems in terms of Majorana bound states supported by topological semiconductor nanowires, we show that the basic code operations, namely projective stabilizer measurements and qubit manipulations, can be implemented by conventional tunnel conductance probes and charge pumping via single-electron transistors, respectively. The simplicity of the access scheme suggests that a functional code might be in close experimental reach.