Quantifying Spatial Correlations of General Quantum Dynamics

TL;DR

This paper introduces a rigorous, resource-theoretical method to quantify correlations in quantum dynamics, with applications to quantum control and noise analysis in quantum computing.

Contribution

It presents a novel, general framework for quantifying correlations in quantum dynamics, extending beyond state correlations to process correlations.

Findings

The method effectively characterizes correlated quantum dynamics.

Application to two atoms demonstrates detection of spatial noise correlations.

Potential for assessing correlations in quantum computing architectures.

Abstract

Understanding the role of correlations in quantum systems is both a fundamental challenge as well as of high practical relevance for the control of multi-particle quantum systems. Whereas a lot of research has been devoted to study the various types of correlations that can be present in the states of quantum systems, in this work we introduce a general and rigorous method to quantify the amount of correlations in the dynamics of quantum systems. Using a resource-theoretical approach, we introduce a suitable quantifier and characterize the properties of correlated dynamics. Furthermore, we benchmark our method by applying it to the paradigmatic case of two atoms weakly coupled to the electromagnetic radiation field, and illustrate its potential use to detect and assess spatial noise correlations in quantum computing architectures.