Quantifying quantum invasiveness

TL;DR

This paper develops a resource theory for quantum invasiveness, linking it to coherence and quantum metrology, and demonstrates Fisher information as a quantifier of invasiveness.

Contribution

It introduces a formal resource-theoretic framework for quantum invasiveness and connects it to quantum metrology through Fisher information.

Findings

Fisher information quantifies quantum invasiveness.

Resource theory of invasiveness compares to coherence.

Quantum invasiveness enhances metrological protocols.

Abstract

We propose a resource theory of the quantum invasiveness of general quantum operations, i.e., those defined by quantum channels in Leggett-Garg scenarios. We are then able to compare the resource-theoretic framework of quantum invasiveness to the resource theory of coherence. We also show that the Fisher information is a quantifier of quantum invasiveness. This result allows us to establish a direct connection between the concept of quantum invasiveness and quantum metrology, by exploring the utility of the definition of quantum invasiveness in the context of metrological protocols.