Dynamics of entanglement and non-classical correlation for four-qubit GHZ state

Espoukeh, Pakhshan; Rahimi, Robabeh; Salimi, S.; Pedram, Pouria

doi:10.1142/s0219749915500446

Cited by 8 publications

(4 citation statements)

References 38 publications

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“…In fact, until the present, the quantification and characterization of the exact amount of entanglement between the different constituent parts of a multi-partite entangled quantum system remains a challenging task and has been calculated only for particular model of decoherence and particular quantum states [39]. Nevertheless, many different entanglement measures for multi-partite entangled quantum systems defined as the sum of the bipartite entanglement measures over all the possible bi-partitions of total quantum system have been proposed during the years [40,41] (see also the review papers [42,43] and the references therein) and some interesting results based on this strategy have been obtained [44][45][46][47][48][49][50][51][52][53][54][55]. 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].…”

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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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 degradation level observed in four independent environments is far higher than that observed in three independent environments under the same noise [45]. The entanglement and coherence in the current dynamical map survive longer than that observed in four qubit GHZ-class states under classical detrimental noises, resulting in a rapid monotonic decay [66]. However, when compared to the entanglement preservation obtained under dynamics noise for a four-qubit GHZ-like state, as discussed in [60], the current one seems short-lived.…”

Section: Time Evolution Of Four Qubit Ghz State In Ise Interactionmentioning

confidence: 68%

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

Rahman¹,

Javed²,

Ji³

et al. 2021

J. Phys. A: Math. Theor.

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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.

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“…For this case, the Lindblad equation is solved for the Pauli channels σ x , σ y , σ z as well as the isotropic channel and the lower bound ( 12) is computed for each case in Ref. [32]. Here, we only present the results as follows:…”

Section: Evolution Of Entanglement Of Maximal Entangled Four-qubit St...mentioning

confidence: 99%

The lower bound to the concurrence for four-qubit W state under noisy channels

Espoukeh

Pedram

2015

Int. J. Quantum Inform.

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We study the dynamics of four-qubit W state under various noisy environments by solving analytically the master equation in the Lindblad form in which the Lindblad operators correspond to the Pauli matrices and describe the decoherence of states. Also, we investigate the dynamics of the entanglement using the lower bound to the concurrence. It is found that while the entanglement decreases monotonically for Pauli-Z noise, it decays suddenly for other three noises. Moreover, by studying the time evolution of entanglement of various maximally entangled four-qubit states, we indicate that the four-qubit W state is more robust under sameaxis Pauli channels. Furthermore, three-qubit W state preserves more entanglement with respect to the four-qubit W state, except for the Pauli-Z noise.

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Dynamics of entanglement and non-classical correlation for four-qubit GHZ state

Cited by 8 publications

References 38 publications

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)

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)

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

The lower bound to the concurrence for four-qubit W state under noisy channels

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