Relation between state-distinction power and disturbance in quantum measurements

TL;DR

This paper explores the relationship between the ability of quantum measurements to distinguish states and the disturbance they cause, introducing order relations to quantify this trade-off.

Contribution

It introduces a novel framework using order relations based on state distinction power to analyze the information-disturbance relation in quantum measurements.

Findings

Established qualitative and quantitative representations of the information-disturbance trade-off.

Defined order relations to compare observables based on their state distinction power.

Provided insights into how measurement disturbance relates to information gain in quantum systems.

Abstract

The measurement of an informative observable strongly disturbs a quantum state. We examine the so-called information-disturbance relation by introducing order relations based on the state distinction power of an observable and a variety of non-disturbed observables with respect to a channel, and obtain qualitative and quantitative representations.