Algorithmic Primitives for Quantum-Assisted Quantum Control

TL;DR

This paper introduces two primitive algorithms for quantum-assisted quantum control that operate on NISQ devices, avoiding complex measurements and analyzing their circuit complexity and noise sources.

Contribution

The paper presents novel primitive algorithms that evaluate overlaps and transition matrices without tomographic measurements, suitable for NISQ quantum control.

Findings

Algorithms bypass tomographic measurements

Analysis of circuit complexity and noise sources

Applicable to NISQ quantum control devices

Abstract

We discuss two primitive algorithms to evaluate overlaps and transition matrix time series, which are used to construct a variety of quantum-assisted quantum control algorithms implementable on NISQ devices. Unlike previous approaches, our method bypasses tomographically complete measurements and instead relies solely on single qubit measurements. We analyse circuit complexity of composed algorithms and sources of noise arising from Trotterization and measurement errors.