Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein–Uhlenbeck noise

Abstract

We address entanglement, coherence, and information protection in a system of four non-interacting qubits coupled with different classical environments, namely: common, bipartite, tripartite, and independent environments described by Ornstein-Uhlenbeck (ORU) noise. We show that quantum information preserved by the four qubit state is more dependent on the coherence than the entanglement using time-dependent entanglement witness, purity, and Shannon entropy. We find these two quantum phenomena directly interrelated and highly vulnerable in environments with ORU noise, resulting in the pure exponential decay of a considerable amount. The current Markovian dynamical map, as well as suppression of the fluctuating character of the environments, are observed to be entirely attributable to the Gaussian nature of the noise. The increasing number of environments are witnessed to speed up the amount of decay. Unlike other noises, the current noise parameter's flexible range is readily exploitable, ensuring long enough preserved memory properties. The four-qubit GHZ state, besides having a large information storage potential, stands partially entangled and coherent in common environments for an indefinite duration. In addition, we derive computational values for each system-environment interaction, which will help quantum practitioners to optimize the related classical environments.

Characterizing Two‐Qubit Non‐Classical Correlations and Non‐Locality in Mixed Local Dephasing Noisy Channels

“…In this regard, coupling quantum systems to external environments is the key concept in practical quantum information tasks. [34][35][36][37] There are various types of disorders in these external environments that have a negative impact on quantum correlations. When a quantum system interacts with its surrounding, the associated quantum correlations are lost either fully or partially.…”

“…When a quantum system interacts with its surrounding, the associated quantum correlations are lost either fully or partially. [12,34,35] Besides, using two non-interacting qubits, we will investigate the preservation of quantum and non-classical correlations in a Werner state when coupled to local dephasing channels. Because deploying quantum mechanical channels in practice is a delicate task, classical ones are preferred for investigation in the current case.…”

“…Because deploying quantum mechanical channels in practice is a delicate task, classical ones are preferred for investigation in the current case. [34][35][36][37][38][39] Classical channels, on the other hand, have been successfully utilized for the last few decades. [40][41][42] Various quantum correlations measures such as negativity, [43] entanglement witnesses, [44] quantum discords, [45][46][47][48] and concurrence [44] have all been recently studied.…”

“…Two different noises, namely, static (STC) and Ornstein Uhlenbeck (OUK), are assumed to influence these classical channels simultaneously. [12,35] Previously, many researchers investigated the independent dephasing effects of STC and OUK noises. In the case of STC noise, for instance, quantum correlations have been observed to decay in a non-Markovian manner.…”

“…[12,68] In contrast, the OUK noise causes a Markovian decay of quantum correlations. [35,69] We consider two classical channels, one with STC noise and the other with OUK noise, resulting in mixed STC-OUK noisy effects. One of the main reasons for incorporating STC and OUK noise is to generate quantum correlations dynamics that have both Markovian and non-Markovian characteristics.…”