Quantum correlations and quantum-memory-assisted entropic uncertainty relation in a quantum dot system

TL;DR

This paper investigates how quantum correlations and entropic uncertainty relations, assisted by quantum memory, behave in a quantum dot system, revealing temperature-dependent effects on uncertainty bounds and correlations.

Contribution

It introduces an analysis of quantum-memory-assisted entropic uncertainty in quantum dots, highlighting temperature effects on quantum correlations and uncertainty bounds in solid state systems.

Findings

Entropic uncertainty bound decreases as temperature decreases.

Quantum correlations diminish with increasing temperature.

Temperature significantly influences quantum uncertainty in quantum dots.

Abstract

The uncertainty principle is one of the comprehensive and fundamental concept in quantum theory. This principle states that it is not possible to simultaneously measure two incompatible observatories with high accuracy. Uncertainty principle has been formulated in various form. The most famous type of uncertainty relation is expressed based on the standard deviation of observables. In quantum information theory the uncertainty principle can be formulated using Shannon and von Neumann entropy. Entropic uncertainty relation in the presence of quantum memory is one of the most useful entropic uncertainty relations. Due to their importance and scalability, solid state systems have received considerable attention nowadays. In this work we will consider a quantum dot system as a solid state system. We will study the quantum correlation and quantum memory assisted entropic uncertainty in this typ of system. We will show that the temperature in of quantum dot system can affect the quantum correlation and entropic uncertainty bound. It will be observed that the entropic uncertainty bound decreases with decreasing temperature and quantum correlations decreases with increasing the temperature.