Quantum memory assisted entropic uncertainty relation with moving quantum memory inside a leaky cavity

TL;DR

This paper investigates how the movement of quantum memory inside a leaky cavity affects the entropic uncertainty relation, showing that higher velocities reduce the uncertainty lower bound.

Contribution

It introduces the analysis of moving quantum memory within a leaky cavity and demonstrates the impact of velocity on the entropic uncertainty lower bound.

Findings

Increasing quantum memory velocity decreases the entropic uncertainty lower bound.

Quantum memory motion inside a leaky cavity influences the entropic uncertainty relation.

The study extends understanding of quantum memory dynamics in open quantum systems.

Abstract

Uncertainty principle has a fundamental role in quantum theory. This principle states that it is not possible to measure two incompatible observers simultaneously. The uncertainty principle is expressed logically in terms of standard deviation of the measured observables. In quantum information it has been shown that the uncertainty principle can be expressed by means of Shannon's entropy. Entropic uncertainty relation can be improve by consider an additional particle as the quantum memory. In the presence of quantum memory the entropic uncertainty relation is called quantum memory assisted entropic uncertainty relation. In this work we will consider the case in which the quantum memory moves inside the leaky cavity. We will show that by increasing the velocity of the quantum memory the entropic uncertainty lower bound decreased.