Non-adiabatic processes in Majorana qubit systems

TL;DR

This paper explores the non-adiabatic effects during the manipulation of Majorana qubits in 1-D superconducting wires, highlighting their potential impact on decoherence and quantum gate implementation.

Contribution

It provides an analysis of non-adiabatic processes in Majorana qubits, emphasizing their significance for quantum computation and the limitations of adiabatic methods.

Findings

Non-adiabatic effects can cause decoherence and renormalization.

These effects are exponentially small for slow manipulations.

Non-adiabatic manipulations may enable universal quantum gates.

Abstract

We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet, manipulations performed at a finite pace can introduce both decoherence and renormalization effects. Though exponentially small for slow manipulations, these effects are important as they may constitute the ultimate decoherence mechanism. Moreover, as adiabatic topological manipulations fail to produce a universal set of quantum gates, non-adiabatic manipulations might be necessary to perform quantum computation.