Local quantum uncertainty and trace distance discord dynamics for two-qubit <i>X</i> states embedded in non-Markovian environment

Khedif, Youssef; Daoud, Mohammed

doi:10.1142/s0217979218502181

Cited by 26 publications

(14 citation statements)

References 57 publications

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“…For quantum systems to remain entangled and correlated, such revivals in the dynamics of quantum and non‐classical correlations are required, for example, see refs. [48, 53]. Because of the presence of revivals, the two‐qubit state preserves entanglement because of the prolonged revivals, whereas the associated non‐classical correlations dissipate quickly for higher values of

\Delta _m

due to the limited number of revivals, for example, compare the slopes of non‐classical correlations and entanglement in Figure 2b,c.…”

Section: Resultsmentioning

confidence: 99%

“…As stated earlier, quantum correlations beyond entanglement also exist. [49][50][51] These correlations include geometric quantum discord, [47,52] local quantum uncertainty (LQU), [53,54] measurement induced disturbance, [55,56] measurement induced non-locality, [57,58] uncertainty-induced non-locality (UIN), [58,59] Bell non-locality (BNL), and local quantum Fisher information (LQFI), [60][61][62][63] to name a few. In the current case, let us distinguish between different non-classical and quantum correlations in a two-qubit system.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2022

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The dephasing effects of two independent local mixed static‐Ornstein Uhlenbeck (STC‐OUK) noisy channels on the dynamics of two‐qubit non‐classical correlations, non‐locality, and entanglement are addressed. Here, i) local quantum Fisher information; ii) local quantum uncertainty; iii) uncertainty‐induced non‐locality; iv) Bell non‐locality; and v) negativity to quantify two‐qubit non‐classical correlations, non‐locality and entanglement, respectively, and their loss under the influence of mixed noise are used. The findings show that measure (i) compared to measure (ii) remains more effective in demonstrating non‐classical correlations. For the two‐qubit state with maximum purity, measure (iii) remains less fragile to the mixed STC‐OUK noise than measure (iv) but gets more vulnerable as the initial purity of the two‐qubit state falls. It is intriguing that measures (i), (ii), and (v) completely freeze after a particular interval, yet measures (iii) and (iv) remains partially preserved indefinitely. When compared to other two‐qubit correlation quantifiers, measure (v) exhibits non‐Markovian behavior and the phenomenon of sudden death and birth. Markovian and non‐Markovian dynamical maps, and extended two‐qubit correlations, can be induced by optimizing the current configuration. Finally, under the influence of mixed dephasing effects, robust and strengthened quantum correlations beyond entanglement in the two‐qubit Werner state is shown.

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\Delta _m

due to the limited number of revivals, for example, compare the slopes of non‐classical correlations and entanglement in Figure 2b,c.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2022

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“…Then we can conclude that the thermal LQU captures a quantum correlation exceeding the entanglement, particularly for weak external magnetic field values together with the weak values of the inhomogeneity of the magnetic field b or high-temperature regime. In addition, due to the maximization process (30), LQU exhibits a sudden change with a double peak structure. This latter characteristic incorporates the LQU, unusually when the two-gravcats system is subjected only to a nonuniform magnetic field b.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Since the local quantum uncertainty is invariant under a local unitary transformations, so the phase factors e iα 14 and e iα 23 can be removed from the off-diagonal elements. Indeed, by means of the following local unitary transformations [30,31]…”

Section: Nonclassical Correlation Measured By Local Quantum Uncertaintymentioning

confidence: 99%

Local quantum uncertainty of two gravitational cat states in inhomogeneous magnetic field

Houça,

Choubabi,

Kamal

et al. 2021

Preprint

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This paper investigates the local quantum correlations (LQU), including entanglement, of two gravitational cat states subjected to an inhomogeneous magnetic field. We derived the LQU expression from the physical quantities associated with the selected system. Our findings suggest that temperature, magnetic field, and magnetic field inhomogeneity may all play a role in determining the degree of intricacy between the gravcats to some extent. Furthermore, these conclusions suggest that the thermal LQU captures a stronger quantum correlation than the entanglement. Especially true for low external magnetic field levels combined with low field inhomogeneity or high-temperature domains. Besides, we obtained the states' separability for large values of field inhomogeneity. Moreover, the correlation of the states obtained is maximal for small magnetic field values at low temperatures. Finally, we note that the state's systems become non-entangled and separable when the gap between the fundamental level and the first excited level becomes large.

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“…It is applied as a measure of quantum correlation for some quantum systems like, two-qubit system (Costa and Angelo 2016;Xiao et al Apr 2017), qubit-qutrit system (Abd-Rabbou et al 2022) Heisenberg chain model (Cheng et al 2021; and atomic-field interaction (Wang et al 2022). Some nonclassical correlations dynamics of dipole-dipole coupled two qubits within the differences between trace distance discord and entanglement taking into account the initial extended Werner-like states were been investigated (Zheng-Da et al 2015;Khedif and Daoud 2018). The non-classicality and the non-locality of two-qubit Werner state and two-qutrit under the effect of some classical noise environment have been discussed (Rahman et al 2022a, b).…”

Section: Introductionmentioning

confidence: 99%

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Ali

2022

Opt Quant Electron

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The possibility of generating of some quantum correlations of the entangled or separable initial two-qubit system interacting with a deformed cavity mode in the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability and steering degrees which are quantifiers by using $$ l_1 $$ l 1 norm of coherence, Entanglement of Formation and Einstein–Podolsky–Rosen -steering. It is shown that maximizing or minimizing the quantum correlations depends on the initial setting states of the two-qubit system. To maximize the quantum correlations on the presence of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of the deformation parameter.

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Local quantum uncertainty and trace distance discord dynamics for two-qubit X states embedded in non-Markovian environment

Cited by 26 publications

References 57 publications

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

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

Local quantum uncertainty of two gravitational cat states in inhomogeneous magnetic field

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

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