Invariance in multi-objective quantum control

TL;DR

This paper reveals that in multi-objective quantum control, secondary objectives remain invariant as the primary objective nears optimality, but practical limits require re-engineering for further improvements, aiding high-performance quantum tech.

Contribution

It introduces a new understanding of invariant behavior in multi-objective quantum control when primary and secondary objectives are balanced.

Findings

Secondary objectives stay invariant near optimal primary objective

A threshold exists beyond which re-engineering is necessary

Findings are broadly applicable to quantum technology optimization

Abstract

Simultaneous optimization of multiple quantum objectives is often considered a demanding task. However, a special circumstance arises when a primary objective is pitted against a set of secondary objectives, which we show leads to invariant behavior of the secondary objectives upon the primary one approaching its optimal value. Still, practical relationships among the objectives will generally lead to a threshold, beyond which system re-engineering is required to further increase the primary objective. This finding is of broad significance for reaching high performance in quantum technologies