Optimal quantum measurements for additive information and disturbance measures

TL;DR

This paper introduces additive measures for information and disturbance in quantum measurements, deriving optimal measurement strategies that balance information gain and disturbance using a logarithmic framework.

Contribution

It proposes a novel additive framework for quantum information and disturbance measures and identifies optimal measurements under this new tradeoff model.

Findings

Derived optimal quantum measurements balancing information and disturbance

Established a logarithmic additive measure framework

Revealed measurement strategies minimizing disturbance for given information levels

Abstract

Additive measures for information and disturbance in quantum measurements of a system are defined from well-known multiplicative measures such as estimation and operation fidelities using a logarithm. This is motivated by the fact that information and disturbance are naturally assumed to be additive while performing independent measurements on separable systems. Although the additivity makes no remarkable difference when information and disturbance are separately considered, it can change measurements that only introduce minimal disturbance relative to the amount of information. Such optimal measurements are shown for additive information and disturbance measures with a tradeoff relationship.