Teleportation of single and bipartite states via a two qubits xxz Heizenberg spin chain in a non-Markovian environment

Fouokeng, Georges Collince; Tedong, E.; Tene, Alain Giresse; Tchoffo, Martin; Fai, Lukong Cornelius

doi:10.1016/j.physleta.2020.126719

Cited by 15 publications

(7 citation statements)

References 23 publications

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“…Quantum entanglement is a distinguished feature of non-classical systems and counts as an indispensable resource in the most practical applications of quantum information processing and information transmitting protocols [1][2][3][4][5][6][7][8]. It has been closely attached to the various quantum tasks such as teleportating information [4,[9][10][11][12][13], quantum cryptography [14], dense coding [15] and collapsing wave functions [6,16]. Despite of this fact, several other quantum quantities have been established to conduct an investigation into the non-classical correlations of quantum systems that cannot be advanced by entanglement [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise

et al. 2021

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We study the dimensionless time evolution of the logarithmic negativity and geometric quantum discord of a qubit-qutrit XXX spin model under the both Markovian and non-Markovian noise channels. We find that at a special temperature interval the quantum entanglement based on the logarithmic negativity reveals entanglement sudden deaths together with revivals. The revival phenomenon is due to the non-Markovianity resulting from the feedback effect of the environment. At high temperatures, the scenario of death and revival disappears. The geometric quantum discord evolves alternatively versus time elapsing with damped amplitudes until the system reaches steady state. It is demonstrated that the dynamics of entanglement negativity undergoes substantial changes by varying temperature, and it is much more fragile against the temperature rather than the geometric quantum discord. The real complex heterodinuclear [Ni(dpt)(H2O)Cu(pba)] · 2H2O [with pba = 1,3-propylenebis(oxamato) and dpt = bis-(3-aminopropyl)amine] is an experimental representative of our considered bipartite qubit-qutrit system that may show remarkable entanglement deaths and revivals at relatively high temperatures and high magnetic field that is comparable with the strength of the exchange interaction J between Cu+2 and Ni+2 ions, i.e., k B T ≈ J and μ B B ≈ J.

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Section: Introductionmentioning

confidence: 99%

Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise

et al. 2021

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“…It is evident that the thermal behaviors of P(ϱ) and U(ϱ) align. However, the extent of quantum correlations captured by the two measurements does not fully coincide due to the inequality (10). Despite this discrepancy, it can be observed that…”

Section: Resultsmentioning

confidence: 92%

“…They play a critical role in various * Author to whom any correspondence should be addressed. quantum tasks and have many applications in quantum computing and nanotechnology, including quantum secret sharing protocols [2], quantum cryptography [3,4], quantum randomness [5], quantum dense coding [6,7], quantum teleportation [8][9][10][11], quantum sensing [6], remote state control [12]. Quantum entanglement, as a fundamental resource in quantum information, holds significant importance as a distinct and remarkable form of quantum correlations [13,14].…”

Section: Introductionmentioning

confidence: 99%

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

Bouafia,

Mansour

2023

Laser Phys. Lett.

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Cutting-edge quantum processing technology is currently exploring the remarkable electronic properties of graphene layers, such as their high mobility and thermal conductivity. Our research is dedicated to investigating the behavior of quantum resources within a graphene layer system with a scattering process, specifically focusing on quantum interferometric power (QIP) and quantum correlations, while taking into account the influence of thermal noise. To quantify these correlations, we employ measures like local quantum uncertainty (LQU) and logarithmic negativity (LN). We examine how factors like temperature, inter-valley scattering processes strength, and other system parameters affect both QIP and quantum correlations. Our results reveal that higher temperatures lead to a reduction in QIP and non-classical correlations within graphene layers. Moreover, it is noteworthy that QIP and LQU respond similarly to changes in temperature, whereas LN is more sensitive to these variations. By optimizing system parameters such as band parameter, wavenumber operators and scattering processes strength, we can mitigate the impact of thermal noise and enhance the quantum advantages of graphene-based quantum processing

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“…Some spin models supply an antisymmetric term called the Dzyaloshinskii-Moriya (DM) interaction [30,31] resulting from the spin-orbit coupling which can affect the quantum phase transition (QPT) and the critical behavior of many spin systems. It has been found that the DM interaction influence the entanglement distribution by increasing the proportion of multipartite entanglement [32], and can also make the spin ferromagnetic line to be a better quantum channel for teleportation [33,34]. Similarly, on the spin models, an applied magnetic field has been shown to considerably affect the critical transition point [35,36].…”

Section: Introductionmentioning

confidence: 99%

Dynamical dephasing of bipartite and tripartite quantum coherence of spin-1/2 XXZ Heisenberg model in a renormalization group approach

Fouokeng¹,

Nsangou²,

Fodouop³

et al. 2022

J. Phys. Commun.

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The dynamical dephasing of a bipartite and tripartite quantum coherence in spin-1/2 Heisenberg model, driven by an applied magnetic field, in the presence of Dzyaloshinskii-Moriya interaction is investigated. The system is renormalized through the Kadanoof’s blocks approach. It is observed for both bipartite and tripartite schemes that by increasing the size of the system, the quantum coherence measure show an abrupt change at a quantum critical point (QCP). A further increase of the Dzyaloshinskii-Moriya coupling parameter affect the QCP, causing the dynamical dephasing which is the signature of second order quantum phase transition. The displacement of the QCP reduces the Quantum coherence of the system and can be controlled by the external magnetic field strength. Moreover, in a given range of Dzyaloshinskii-Moriya interaction strength and magnetic field, the monogamous and polygamous nature of quantum coherence is related to the size of the system.

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Teleportation of single and bipartite states via a two qubits xxz Heizenberg spin chain in a non-Markovian environment

Cited by 15 publications

References 23 publications

Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise

Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise

Quantum interferometric power versus quantum correlations in a graphene layer system with a scattering process under thermal noise

Dynamical dephasing of bipartite and tripartite quantum coherence of spin-1/2 XXZ Heisenberg model in a renormalization group approach

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