Protecting the entropic uncertainty lower bound in Markovian and non-Markovian environment via additional qubits

TL;DR

This paper investigates how adding more qubits to the reservoir can protect the entropic uncertainty lower bound in quantum systems from decoherence effects in both Markovian and non-Markovian environments.

Contribution

It introduces a method of using additional qubits in the reservoir to preserve the entropic uncertainty lower bound against decoherence.

Findings

Increasing the number of qubits in the reservoir reduces the entropic uncertainty lower bound.

The method is effective in both Markovian and non-Markovian environments.

Adding qubits can mitigate decoherence effects on quantum memory.

Abstract

The uncertainty principle is an important principle in quantum theory. Based on this principle, it is impossible to predict the measurement outcomes of two incompatible observables, simultaneously. Uncertainty principle basically is expressed in terms of the standard deviation of the measured observables. In quantum information theory, it is shown that the uncertainty principle can be expressed by Shannon's entropy. The entopic uncertainty lower bound can be altered by considering a particle as the quantum memory which is correlated with the measured particle. We assume that the quantum memory is an open system. We also select the quantum memory from $N$ qubit which interact with common reservoir. In this work we investigate the effects of the number of additional qubits in reservoir on entropic uncertainty lower bound. We conclude that the entropic uncertainty lower bound can be protected from decoherence by increasing the number of additional qubit in reservoir.