Enhancement of Quantum Correlations in Qubit-Qutrit Systems under the non-Markovian Environment

Abstract

We investigate the time evolution of quantum correlations of a hybrid qubit-qutrit system under the classical Ornstein-Uhlenbeck (OU) noise. Here we consider two different one-parameter families of qubit-qutrit states which independently interact with the non-Markovian reservoirs. A comparison with the Markovian dynamics reveals that for the same set of initial condition parameters, the non-Markovian behavior of the environment plays an important role in the enhancement of the survival time of quantum correlations. In addition, it is observed that the non-Markovian strength has a positive impact on the correlations time. For the initial separable states it is found that there is a finite time interval in which the geometric quantum discord is frozen despite the presence of a noisy environment and that interval can be further prolonged by using the non-Markovian property. Moreover, its decay can be significantly delayed.

Decoherence and protection of entanglement of a system of three qubits driven by a classical Gaussian distributed fluctuating field

“…(21) and depends on the specific choice of the CSF via the function χ(t) (Eqs. (26) and (27)). With these density matrices in our hand, we can then investigate the dynamics of entanglement by employing the tripartite negativity as given in Eq.…”

“…In recent year, the dynamics of quantum correlations in the situation where quantum systems are affected by environments describes classically (i.e., model by means of a classical Gaussian or non-Gaussian distributed random field) has been an active area of research [6,7,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] and many interesting results have been obtained. In particular, it has been shown that when three qubits are coupled to an external classical noise such as random telegraph noise [16][17][18], static noise [20] and colored noise [19,21] in a common environment, quantum correlations among them survive indefinitely.…”

Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit–qutrit system

“…The corresponding evolution matrix of the subsystems is given by U (c 1 (t) , c 2 (t) ,t) = exp(− i H (t ) dt ) (hereafter = 1). The system is initially prepared in the one-parameter family state [50][51][52] given by…”

Witnessing Quantum Correlations in a Hybrid Qubit‐Qutrit System Under Intrinsic Decoherence

“…[17][18][19] Hence, many analytical tools, simulation techniques and several other methods for calculating and quantifying quantum correlations have been investigated to explore the separability of bipartite quantum systems. [20,21] Importantly, recent works shed light on studying quantum correlations for qubit-qutrit and qutritqutrit states, [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] which creates a fascinating future in quantum technologies. [39] Due to the possibility of maximum control of the associated Hilbert space, hybrid qubit-qudit systems have become increasingly important in the field of quantum information.…”