On the adiabatic quantum dynamics of fabricated Ising chains

TL;DR

This paper investigates the robustness of adiabatic quantum Ising chains implemented with superconducting devices, analyzing how fabrication variations affect computational reliability through simulations and examining adiabaticity conditions.

Contribution

It provides the first detailed simulation-based analysis of fabrication variation effects on adiabatic quantum Ising chains and evaluates the validity of adiabaticity conditions as quantitative measures.

Findings

Robustness of quantum computation despite fabrication variations

Simulation results show ensemble averages maintain computational reliability

None of the four known adiabaticity conditions serve as effective quantitative measures

Abstract

Physical implementations of quantum computation must be scrutinized about their reliability under real conditions, in order to be considered as viable candidates. Among the proposed models, those based on adiabatic quantum dynamics have shown great potential for solving specific tasks and have already been successfully implemented using superconducting devices. In this context, we address the issue of how the fabrication variations are expected to affect on average the computation results, when only dynamical effects occur. By simulating the dynamics of small-scale systems, it is found a considerable robustness for the computation when analyzing results obtained from ensembles of such machines. In addition, it is also addressed whether conditions for adiabaticity could be taken as quantitative measures of it. From the analysis of four known conditions, it is obtained that none could have such an use.