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Dynamics of quantum discord based on linear entropy and negativity of qutrit-qubit system under classical dephasing environments

Fadwa Benabdallah, Mohammed Daoud A

The European Physical Journal DJan 1, 202127 citations

Invariant and Freezing Dynamics of Quantum Correlations in Qubit-Qutrit Systems Under Collective Dephasing Colored Noise

Arthur Tsamouo Tsokeng, Pernel Nguenang, F. Kuate Fodouop +2 more

International Journal of Theoretical PhysicsOct 23, 20210 citations

Frozen discord for three qubits in a non-Markovian dephasing channel

Xi-Wen Hou

Physica A Statistical Mechanics and its ApplicationsJun 6, 20242 citations

FROZEN DISCORD IN NON-MARKOVIAN DEPHASING CHANNELS

LAURA MAZZOLA, Jyrki Piilo, Sabrina Maniscalco

We investigate the dynamics of quantum and classical correlations in a system of two qubits under local colored-noise dephasing channels. The time evolution of a single qubit interacting with its own environment is described by a memory kernel non-Markovian master equation. The memory effects of the non-Markovian reservoirs introduce new features in the dynamics of quantum and classical correlations compared to the white noise Markovian case. Depending on the geometry of the initial state, the system can exhibit frozen discord and multiple sudden transitions between classical and quantum decoherence [L. Mazzola, J. Piilo and S. Maniscalco, Phys. Rev. Lett. 104 (2010) 200401]. We provide a geometric interpretation of those phenomena in terms of the distance of the state under investigation to its closest classical state in the Hilbert space of the system.We investigate the dynamics of quantum and classical correlations in a system of two qubits under local colored-noise dephasing channels. The time evolution of a single qubit interacting with its own environment is described by a memory kernel non-Markovian master equation. The memory effects of the non-Markovian reservoirs introduce new features in the dynamics of quantum and classical correlations compared to the white noise Markovian case. Depending on the geometry of the initial state, the system can exhibit frozen discord and multiple sudden transitions between classical and quantum decoherence [L. Mazzola, J. Piilo and S. Maniscalco, Phys. Rev. Lett. 104 (2010) 200401]. We provide a geometric interpretation of those phenomena in terms of the distance of the state under investigation to its closest classical state in the Hilbert space of the system.

arXiv:1006.1805International Journal of Quantum InformationApr 1, 201185 citations

Quantum Discord of Two-Qubit in Dephasing Model

Qing Yang, Ming Yang, Da-Chuang Li +1 more

International Journal of Theoretical PhysicsFeb 20, 20129 citations

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

Fadwa Benabdallah, Hamid Arian Zad, Mohammed Daoud A +1 more

Abstract 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)(H 2 O)Cu(pba)] · 2H 2 O [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 .Abstract 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)(H 2 O)Cu(pba)] · 2H 2 O [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 .

Physica ScriptaNov 23, 202116 citations

Linear quantum discord and entanglement in qubit–qutrit systems under Non-Markovian colored noise dephasing

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