Dynamics of incompatibility of quantum measurements in open systems

TL;DR

This paper investigates how quantum noise and non-Markovian environments affect the incompatibility of quantum measurements, a key resource for quantum information processing, highlighting the dynamics of measurement non-classicality in open quantum systems.

Contribution

It provides a detailed analysis of the dynamics of measurement incompatibility under noise and environmental effects, emphasizing the role of non-Markovianity in preserving quantum measurement resources.

Findings

Non-Markovian environments can help maintain measurement incompatibility.

Quantum noise generally degrades measurement incompatibility.

Environmental effects significantly influence quantum measurement resources.

Abstract

The non-classical nature of quantum states, often illustrated using entanglement measures or quantum discord, constitutes a resource for quantum information protocols. However, the non-classicality of a quantum system cannot be encapsulated as a property of the state alone, as the set of available measurements used to extract information on the system is typically restricted. In this work we study how the non-classicality of quantum measurements, quantified via their incompatibility, is influenced by quantum noise and, further, how a non-Markovian environment may help us in maintaining the measurement resources.