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WORLD SCIENTIFIC eBooks

Quantum dynamics and information

Robert Olkiewicz

Published Jan 1, 2011• 13 citations
OpenAlex

Abstract

Description of Quantum Entanglement with Nilpotent Polynomials (V Akulin) Quantum Memories as Open Systems (R Alicki) Entanglement in Many-Body Systems (J Anders) Asymptotic Entanglement in Open Quantum Systems (F Benatti) Models for Qubits Open System Dynamics (M Fannes) Nilpotents, Quantum Mechanics and Flavor of Entanglement (A Frydryszak) Experiments on Quantum Coherence with Cold Atoms (W Gawlik) Superadditivity Effects in Quantum Communication - A Selection (P Horodecki) Dynamical Entanglement of Three-Level Atoms (L Jakobczyk) PPT States, Entanglement and Its Measures (W A Majewski) Sudden Death and Sudden Birth of Entanglement (R Tanaś) Asymptotic Bahavior of Quantum Walks with Disorder in Space and Time (R F Werner) Quantum Infodynamics (M Ziman) Dynamics and Entropy Growth in Interacting Quantum Systems (K Życzkowski).

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Sudden birth versus sudden death of entanglement for the extended Werner-like state in a dissipative environment

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In this paper, we investigate the dynamical behaviour of entanglement in terms of concurrence in a bipartite system subjected to an external magnetic field under the action of dissipative environments in the extended Werner-like initial state. The interesting phenomenon of entanglement sudden death as well as sudden birth appears during the evolution process. We analyse in detail the effect of the purity of the initial entangled state of two qubits via Heisenberg XY interaction on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions on the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. In particular, a critical purity of the initial mixed entangled state exists, above which entanglement sudden birth vanishes while entanglement sudden death appears. It is also noticed that stable entanglement, which is independent of different initial states of the qubits (pure or mixed state), occurs even in the presence of decoherence. These results arising from the combination of the extended Werner-like initial state and dissipative environments suggest an approach to control and enhance the entanglement even after purity induced sudden birth, death and revival.

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Quantum Information

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In this paper, the origin of disentanglement for two specific sub-classes of [Formula: see text]-states namely maximally nonlocal mixed states (MNMSs) and maximally entangled mixed states (MEMSs) is investigated analytically for a physical system consisting of two spatially separated qubits interacting with a common vacuum bath. The phenomena of entanglement sudden death (ESD) and the entanglement sudden birth (ESB) are observed, but the characteristics of ESD and ESB are found to be different for the case of two-photon coherence and single photon coherence states. The role played by initial coherence for the underlying entanglement dynamics is investigated. Further, the entanglement dynamics of MNMSs and MEMSs under different environmental noises namely phase damping, amplitude damping and random telegraph noise (RTN) noise with respect to the decay and revival of entanglement is analyzed. It is observed that the single photon coherence states are more robust against the sudden death of entanglement, indicating the usability of such states in the development of technologies for the practical implementation of quantum information processing tasks.

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This 2nd edition focuses on the dynamics of quantum correlations and information in microscopic and mesoscopic systems.

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Postponing entanglement sudden death by quantum interferences

Anjali N. Nair, R. Arun

Abstract We investigate the entanglement dynamics in a 2 ⨂ 3 quantum system consisting of a two-level atom and a three-level V-type atom interacting independently with their environments. Pure and mixed initial states, including one-parameter and two-parameter states of the atoms are analyzed. It is observed that the entanglement in the qubit-qutrit system disappears in a finite time, commonly referred to as ESD (entanglement sudden death). We analytically calculate the ESD time using the negativity as an entanglement measure. Remarkably, the presence of vacuum-induced coherence in the three-level atom (qutrit) delays the occurrence of ESD and effectively protects the entanglement from decoherence.

Physica Scripta•Jan 8, 2024•3 citations
Description of Quantum Entanglement with Nilpotent Polynomials (V Akulin) Quantum Memories as Open Systems (R Alicki) Entanglement in Many-Body Systems (J Anders) Asymptotic Entanglement in Open Quantum Systems (F Benatti) Models for Qubits Open System Dynamics (M Fannes) Nilpotents, Quantum Mechanics and Flavor of Entanglement (A Frydryszak) Experiments on Quantum Coherence with Cold Atoms (W Gawlik) Superadditivity Effects in Quantum Communication - A Selection (P Horodecki) Dynamical Entanglement of Three-Level Atoms (L Jakobczyk) PPT States, Entanglement and Its Measures (W A Majewski) Sudden Death and Sudden Birth of Entanglement (R Tanaś) Asymptotic Bahavior of Quantum Walks with Disorder in Space and Time (R F Werner) Quantum Infodynamics (M Ziman) Dynamics and Entropy Growth in Interacting Quantum Systems (K Życzkowski).
Control of the Molecular Alignment or Orientation by Laser Pulses (A Keller) Quantum Computing and Devices: A Short Introduction (Z-G Zhang et al.) Dynamics of Mixed Classical-Quantum Systems, Geometric Quantization and Coherent States (H R Jauslin & D Sugny) Quantum Memories as Open Systems (R Alicki) Two Mathematical Problems in Quantum Information Theory (A S Holevo) Dissipatively Induced Bipartite Entanglement (F Benatti) Scattering in Nonrelativistic Quantum Field Theory (J Derezinski) Mathematical Theory of Atoms and Molecules (V Bach).
In this paper, we investigate the dynamical behaviour of entanglement in terms of concurrence in a bipartite system subjected to an external magnetic field under the action of dissipative environments in the extended Werner-like initial state. The interesting phenomenon of entanglement sudden death as well as sudden birth appears during the evolution process. We analyse in detail the effect of the purity of the initial entangled state of two qubits via Heisenberg XY interaction on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions on the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. In particular, a critical purity of the initial mixed entangled state exists, above which entanglement sudden birth vanishes while entanglement sudden death appears. It is also noticed that stable entanglement, which is independent of different initial states of the qubits (pure or mixed state), occurs even in the presence of decoherence. These results arising from the combination of the extended Werner-like initial state and dissipative environments suggest an approach to control and enhance the entanglement even after purity induced sudden birth, death and revival.
Classical Information Theory. Classical Information Theory and Classical Error Correction / Markus Grassl -- Computational Complexity / Stephan Mertens -- Foundations of Quantum Information Theory. Discrete Quantum States versus Continuous Variables / Jens Eisert -- Approximate Quantum Cloning / Dagmar Bruß, Chiara Macchiavello -- Channels and Maps / M Keyl, R F Werner -- Quantum Algorithms / Julia Kempe -- Quantum Error Correction / Markus Grassl -- Theory of Entanglement. The Separability versus Entanglement Problem / Sreetama Das, Titas Chanda, Maciej Lewenstein, Anna Sanpera, Aditi Sen De, Ujjwal Sen -- Quantum Discord and Nonclassical Correlations Beyond Entanglement / Gerardo Adesso, Marco Cianciaruso, Thomas R Bromley -- Entanglement Theory with Continuous Variables / Peter van Loock, Evgeny Shchukin -- Entanglement Measures / Martin B Plenio, Shashank S Virmani -- Purification and Distillation / Wolfgang Dür, Hans-J Briegel -- Bound Entanglement / Paweł Horodecki --
In this paper, the origin of disentanglement for two specific sub-classes of [Formula: see text]-states namely maximally nonlocal mixed states (MNMSs) and maximally entangled mixed states (MEMSs) is investigated analytically for a physical system consisting of two spatially separated qubits interacting with a common vacuum bath. The phenomena of entanglement sudden death (ESD) and the entanglement sudden birth (ESB) are observed, but the characteristics of ESD and ESB are found to be different for the case of two-photon coherence and single photon coherence states. The role played by initial coherence for the underlying entanglement dynamics is investigated. Further, the entanglement dynamics of MNMSs and MEMSs under different environmental noises namely phase damping, amplitude damping and random telegraph noise (RTN) noise with respect to the decay and revival of entanglement is analyzed. It is observed that the single photon coherence states are more robust against the sudden death of entanglement, indicating the usability of such states in the development of technologies for the practical implementation of quantum information processing tasks.
Abstract We investigate the entanglement dynamics in a 2 ⨂ 3 quantum system consisting of a two-level atom and a three-level V-type atom interacting independently with their environments. Pure and mixed initial states, including one-parameter and two-parameter states of the atoms are analyzed. It is observed that the entanglement in the qubit-qutrit system disappears in a finite time, commonly referred to as ESD (entanglement sudden death). We analytically calculate the ESD time using the negativity as an entanglement measure. Remarkably, the presence of vacuum-induced coherence in the three-level atom (qutrit) delays the occurrence of ESD and effectively protects the entanglement from decoherence.