Symmetry-protected adiabatic quantum transistors

TL;DR

This paper introduces symmetry-protected adiabatic quantum transistors that perform quantum logic gates by adiabatically transforming a ground state, leveraging symmetry properties for robustness and universality.

Contribution

It generalizes adiabatic quantum transistors using symmetry-protected phases, enabling universal quantum gates with enhanced robustness to noise.

Findings

Gate performance depends on symmetry properties, not fine-tuned Hamiltonians

Universal gate sets can be realized by combining different symmetry-protected phases

The approach offers robustness against relevant noise processes

Abstract

Adiabatic quantum transistors allow quantum logic gates to be performed by applying a large field to a quantum many-body system prepared in its ground state, without the need for local control. The basic operation of such a device can be viewed as driving a spin chain from a symmetry protected phase to a trivial phase, and this perspective offers an avenue to generalise the adiabatic quantum transistor and to design several improvements. The performance of quantum logic gates is shown to depend only on universal symmetry properties of a symmetry-protected phase rather than fine tuned parent Hamiltonians, and it is possible to implement a universal set of logic gates in this way by combining several different types of symmetry protected matter. Such symmetry-protected adiabatic quantum transistors are argued to be robust to a range of relevant noise processes.