Violation of the "information-disturbance relationship" in finite-time quantum measurements

TL;DR

This paper investigates how finite-time quantum measurements can violate the traditional 'information-disturbance relationship' by analyzing quantum and classical correlations, revealing that measurement precision and non-Markovian effects can alter fundamental measurement limits.

Contribution

It demonstrates that quantum discord and correlations can be enhanced during finite-time measurements, challenging the conventional understanding of measurement disturbance limits.

Findings

Quantum discord increases with measurement precision.

Classical and quantum correlations change during finite-time measurements.

Violations of the 'information-disturbance relationship' occur due to non-locality and non-Markovian effects.

Abstract

The effect of measurement attributes (quantum level of precision, finite duration) on the classical and quantum correlations is analysed for a pair of qubits immersed in a common reservoir. We show that the quantum discord is enhanced as the precision of the measuring instrument is increased, and both the classical correlation and the quantum discord experience noticeable changes during finite-time measurements performed on a neighboring partition of the entangled system. The implications of these results on the "information-disturbance relationship" are examined, with critical analysis of the delicate roles played by quantum non-locality and non-Markovian dynamics in the violation of this relationship, which appears surprisingly for a range of measurement attributes. This work highlights that the fundamental limits of quantum mechanical measurements can be altered by exchanges of non-classical correlations such as the quantum discord with external sources, which has relevance for cryptographic technology.