Tomographic discord for a system of two coupled nanoelectric circuits

TL;DR

This paper investigates quantum correlations and discord in two coupled nanoelectric circuits using a tomographic approach, analyzing how system parameters influence quantum correlations and their asymmetries.

Contribution

It introduces a tomographic framework for quantum discord in two-qubit $X$-states derived from nanoelectric circuits, linking measurement schemes and correlation control.

Findings

Quantum discord depends on measurement schemes and system parameters.

Control of correlations is possible via frequency detuning and coupling strength.

$X$-states approximate thermal states of coupled harmonic oscillators.

Abstract

We consider quantum correlations and quantum discord phenomena for two-qubit states with $X$-type density matrices in the tomographic framework of quantum mechanics. By introducing different measurements schemes, we establish the relation between tomographic approach to quantum discord, symmetric discord, and measurement-induced disturbance. In our consideration, $X$-states appear as approximations of ground and low temperature thermal states of two coupled harmonic oscillators realized by nanoelectric $LC$-circuits. Possibilities for control the amounts of correlations and entropic asymmetry due to variation of the frequency detuning and the coupling constant are also considered.