Dynamical evolution of entanglement of a three-qubit system driven by a classical environmental colored noise

Kenfack, Lionel Tenemeza; Tchoffo, Martin; Fouokeng, Georges Collince; Fai, Lukong Cornelius

doi:10.1007/s11128-018-1839-4

Cited by 14 publications

(10 citation statements)

References 52 publications

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“…This suggests the relevance between the noise phases for having the same Gaussian nature and causing an equal amount of decay. The same result can be seen for the dynamics of tripartite state under coloured noise in [46,47], but with different decay amounts. Most significantly, the preservation time remained greater in the case of OU n for small g and under PL n for small α.…”

Section: Discussionsupporting

confidence: 77%

“…Finally, we discovered that under the current Gaussian noises, coherence and information suffer a less but rapid loss strongly depending upon the noise parameters values. Non-Gaussian noises, on the other hand, are observed to lose coherence and quantum correlations later [29,37,46,47]. The preservation time under Gaussian noises remained sufficiently small for the single qutrit and other quantum systems.…”

Section: Discussionmentioning

confidence: 99%

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Decoherence Effects in a Three-Level System under Gaussian Process

Zangi,

Rahman,

et al. 2021

Preprint

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We investigate the information and coherence protection in a three-level quantum system when subjected to a classical fluctuating field described by a Gaussian process. This random field is further investigated in both noiseless and noisy regimes. The noisy regimes include fractional Gaussian, Gaussian, Ornstein Uhlenbeck, and power-law noise. We find that the Ornstein Uhlenbeck noise has a reduced destructive nature toward coherence and information initially encoded in the three-level system. Based on our findings, the proper fixing of the noisy parameters to certain provided values can contribute to optimal extended coherence and information survival. In the single qutrit system, because of all Gaussian noises, monotonic decay with no revivals has been observed. Using purity and von-Neumann entropy, we discovered that a single qutrit system outperforms systems with multiple qubits or qutrits in terms of coherence and information preservation. The fluctuating nature of the local random fields is completely lost, as evidenced by a comparison of noisy and noiseless situations. We found this entirely dependent upon the Gaussian and Markovian properties of the included noises.

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Section: Discussionsupporting

confidence: 77%

Section: Discussionmentioning

confidence: 99%

Decoherence Effects in a Three-Level System under Gaussian Process

Zangi,

Rahman,

et al. 2021

Preprint

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“…For instance, it has been found that for multi-qubit systems, the degree of entanglement robustness tends to increases or decreases with the increase of the number of qubits of the system [8,56]. In particular, the dynamics of quantum correlations in terms of entanglement and discord in a physical model of three non-interacting qubits subject to a classical environmental noise has recently been investigated [57][58][59]. In the present work, in order to have an insight on how the entanglement behaves in the model studied in the above mentioned works (that is, [57][58][59]) when the number of qubits is increased, we extend this model from three to four qubits.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the dynamics of quantum correlations in terms of entanglement and discord in a physical model of three non-interacting qubits subject to a classical environmental noise has recently been investigated [57][58][59]. In the present work, in order to have an insight on how the entanglement behaves in the model studied in the above mentioned works (that is, [57][58][59]) when the number of qubits is increased, we extend this model from three to four qubits. Stated another way, the main purpose of this work is to explore whether the increasing of the number of qubits in such a model leads to the increase or decrease of the entanglement fragility.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Kenfack¹,

Tchoffo²,

Jipdi³

et al. 2018

J. Phys. Commun.

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The paper investigates the dynamics of entanglement and explores some geometrical characteristics of the trajectories in state space, in four-qubit Greenberger-Horne-Zeilinger (GHZ) -and W-type states, coupled to common and independent classical random telegraph noise (RTN) sources. It is shown from numerical simulations that: (i) the dynamics of entanglement depends drastically not only on the input configuration of the qubits and the presence or absence of memory effects, but also on whether the qubits are coupled to the RTN in a CE or IEs; (ii) a considerable amount of entanglement can be indefinitely trapped when the qubits are embedded in a CE; (iii) the CE configuration preserves better the entanglement initially shared between the qubits than the IEs configuration, however, for W-type states, there is a period of time and/or certain values of the purity for which, the opposite can be found. Thanks to the results obtained in our earlier works on three-qubit models, we are able to conclude that entanglement becomes more robustly protected from decay when the number of qubits of the system increases. Finally, we find that the trajectories in state space of the system quantified by the quantum Jensen Shannon divergence (QJSD) between the time-evolved states of the qubits and some reference states may be curvilinear or chaotic.

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“…Superconducting qubits coupled to photons propagating in an open waveguide [1][2][3] allow for the investigation of the fascinating world of quantum light-matter interactions in one dimension [4][5][6]. Even though the properties of multi-qubit 1D systems have been extensively studied [7,8], less attention has been paid to dynamic properties of the few-qubit systems which are the building blocks for quantum gates [9,10]. Moreover, the scaling laws for decay rates that have been found for multi-qubit systems [11] cannot obviously be applied for systems containing few qubits.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous decay of artificial atoms in a three-qubit system

Greenberg,

Shtygashev,

Moiseev

2021

Preprint

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We study the evolution of qubits amplitudes in a one-dimensional chain consisting of three equidistantly spaced noninteracting qubits embedded in an open waveguide. The study is performed in the frame of single-excitation subspace, where the only qubit in the chain is initially excited. We show that the dynamics of qubits amplitudes crucially depend on the value of kd, where k is the wave vector, d is a distance between neighbor qubits. If kd is equal to an integer multiple of π, then the qubits are excited to a stationary level. In this case, it is the dark states which prevent qubits from decaying to zero even though they do not contribute to the output spectrum of photon emission. For other values of kd the excitations of qubits exhibit the damping oscillations which represent the vacuum Rabi oscillations in a three-qubit system. In this case, the output spectrum of photon radiation is determined by a subradiant state which has the lowest decay rate. We also investigated the case with the frequency of a central qubit being different from that of the edge qubits. In this case, the qibits decay rates can be controlled by the frequency detuning between the central and the edge qubits.

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Dynamical evolution of entanglement of a three-qubit system driven by a classical environmental colored noise

Cited by 14 publications

References 52 publications

Decoherence Effects in a Three-Level System under Gaussian Process

Decoherence Effects in a Three-Level System under Gaussian Process

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Spontaneous decay of artificial atoms in a three-qubit system

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