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Correlations in Open Quantum Systems

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (18 September 2020) | Viewed by 8063

Special Issue Editors


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Guest Editor
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Interests: quantum information, quantum physics

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Guest Editor
Complexity Sciences Center & Department of Physics, University of California, Davis, CA 95616, USA
Interests: quantum information theory; quantum thermodynamics; statistical mechanics

Special Issue Information

Dear Colleagues,

Understanding the difference between classical and quantum systems is one of the greatest challenges of modern science. The peculiar quantum traits of an ideal quantum experiment, described by the unitary evolution of a wavefunction, are arguably well understood. On the other hand, quantumness manifests in more elusive ways when interactions with a complex environment are taken into account, and a quantum process has to be mathematically expressed by a density matrix evolving under a general quantum operation. Studying the rich, emerging hierarchy of different kinds of quantum correlations in this scenario promises to shed light on the key features of noisy quantum systems, including their operational meaning for information processing and their thermodynamic properties.

This Special Issue aims to collect papers advancing our knowledge of quantum correlations in open quantum systems, e.g., quantum computers, communication networks, and sensors which are subject to decoherence and dissipation. We welcome contributions exploring both fundamental questions and applications, having the goal to provide the reader with a state-of-the art description of this rapidly evolving field.

Topics of interest include but are not limited to the followings:

  • Study of quantum-to-classical transition and decoherence via correlation dynamics in open systems;
  • Interplay between the various forms of quantum correlations in noisy systems, e.g., non-locality, steering, entanglement and discord;
  • Links between quantum correlations and quantum coherence in open quantum systems;
  • Quantum correlations as signatures of complexity, non-Markovianity, criticality, and other exotic behavior in open quantum systems;
  • Quantum correlations and thermodynamic properties of out-of-equilibrium quantum systems;
  • Quantum correlations as resources for noisy information processing.

Dr. Davide Girolami
Dr. Fabio Anzà
Guest Editors

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • quantum information
  • quantum correlations
  • open quantum systems
  • entanglement
  • quantum coherence
  • quantum thermodynamics

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Published Papers (3 papers)

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Research

12 pages, 957 KiB  
Article
Evanescent Wave Approximation for Non-Hermitian Hamiltonians
by Benedetto Militello and Anna Napoli
Entropy 2020, 22(6), 624; https://doi.org/10.3390/e22060624 - 4 Jun 2020
Cited by 1 | Viewed by 2220
Abstract
The counterpart of the rotating wave approximation for non-Hermitian Hamiltonians is considered, which allows for the derivation of a suitable effective Hamiltonian for systems with some states undergoing decay. In the limit of very high decay rates, on the basis of this effective [...] Read more.
The counterpart of the rotating wave approximation for non-Hermitian Hamiltonians is considered, which allows for the derivation of a suitable effective Hamiltonian for systems with some states undergoing decay. In the limit of very high decay rates, on the basis of this effective description we can predict the occurrence of a quantum Zeno dynamics, which is interpreted as the removal of some coupling terms and the vanishing of an operatorial pseudo-Lamb shift. Full article
(This article belongs to the Special Issue Correlations in Open Quantum Systems)
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14 pages, 444 KiB  
Article
Multipartite Entanglement Generation in a Structured Environment
by Shijiao Wang, Xiao San Ma and Mu-Tian Cheng
Entropy 2020, 22(2), 191; https://doi.org/10.3390/e22020191 - 7 Feb 2020
Viewed by 2604
Abstract
In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor coupling. With [...] Read more.
In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor coupling. With analysis, we can find that the steady multipartite entanglement with different values can be generated after a long-time evolution for different sizes of the quantum system. Under weak coupling between the system and the harmonic oscillator, multipartite entanglement can monotonically increase from zero to a stable value. Under strong coupling, multipartite entanglement generation shows a speed-up increase accompanied by some oscillations as non-Markovian behavior. Our results imply that the strong coupling between the harmonic oscillator and the N additional harmonic oscillators, and the large size of the additional oscillators will enhance non-Markovian dynamics and make it take a very long time for the entanglement to reach a stable value. Meanwhile, the couplings between the additional harmonic oscillators and the decay rate of additional harmonic oscillators have almost no effect on the multipartite entanglement generation. Finally, the entanglement generation of the additional harmonic oscillators is also discussed. Full article
(This article belongs to the Special Issue Correlations in Open Quantum Systems)
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24 pages, 1723 KiB  
Article
Coherent State Control to Recover Quantum Entanglement and Coherence
by Li-Tuo Shen, Zhi-Cheng Shi and Zhen-Biao Yang
Entropy 2019, 21(10), 917; https://doi.org/10.3390/e21100917 - 20 Sep 2019
Cited by 8 | Viewed by 2680
Abstract
How to analytically deal with the entanglement and coherence dynamics of separated Jaynes–Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain two [...] Read more.
How to analytically deal with the entanglement and coherence dynamics of separated Jaynes–Cummings nodes with continuous-variable fields is still an open question. We here generalize this model to a more common situation including either a small or large qubit-field detuning, and obtain two new analytical formulas. The X-state simplification, Fock-state shortcut and detuning-limit approximation work together in an amazingly accurate way, which agrees with the numerical results. The new formulas almost perfectly predict the two-qubit entanglement dynamics both in sudden death and rebirth phenomenon for detuning interactions. We find that when both the qubit-field detuning and amplitude of coherent states are large enough, the maximal entanglement and coherence peaks can be fully and periodically retrieved, and their revival periods both increase linearly with the increasing detuning. Full article
(This article belongs to the Special Issue Correlations in Open Quantum Systems)
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