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Dynamics of Quantum Correlations in Open Systems

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

Deadline for manuscript submissions: closed (31 October 2022) | Viewed by 12812

Special Issue Editor


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Guest Editor
National Institute of Physics and Nuclear Engineering, 077125 Bucharest-Magurele, Romania
Interests: quantum information theory; open quantum systems; quantum correlations; quantum coherence; quantum decoherence

Special Issue Information

Quantum correlations represent one of the most characteristic traits of quantum mechanics. The unavoidable interaction of quantum systems with their environment implies the necessity to deeply understand and characterize the dynamics of open quantum systems. The proposed Special Issue aims to address these crucial aspects of quantum physics and collect contributions studying or reviewing both fundamental aspects and applications of quantum correlations in discrete and continuous variable open quantum systems.

Possible topics may cover but are not limited to the following research areas:

- Description and characterization of quantum correlations (steering, entanglement, discord);
- Quantification and entropic/geometric measures of quantum correlations;
- Markovian and non-Markovian dynamics of quantum correlations in open systems;
- Applications of quantum correlations to quantum information processing and communication;
- Quantum correlations as a resource for quantum technology applications;
- Evolution of quantum coherence in open systems;
- Quantum decoherence and transition from quantum to classical.

Prof. Dr. Aurelian Isar
Guest Editor

Manuscript Submission Information

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Keywords

  • quantum correlations
  • open quantum systems
  • quantum steering
  • quantum entanglement
  • quantum discord
  • quantum coherence
  • quantum decoherence
  • quantum information theory
  • quantum resources
  • quantum technology

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Published Papers (6 papers)

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Editorial

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4 pages, 177 KiB  
Editorial
Dynamics of Quantum Correlations in Open Systems
by Aurelian Isar
Entropy 2023, 25(2), 196; https://doi.org/10.3390/e25020196 - 19 Jan 2023
Viewed by 1551
Abstract
Quantum correlations represent one of the most characteristic traits of quantum mechanics [...] Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)

Research

Jump to: Editorial

8 pages, 1358 KiB  
Article
Preparation and Analysis of Two-Dimensional Four-Qubit Entangled States with Photon Polarization and Spatial Path
by Jiaqiang Zhao, Meijiao Wang, Bing Sun, Lianzhen Cao, Yang Yang, Xia Liu, Qinwei Zhang, Huaixin Lu and Kellie Ann Driscoll
Entropy 2022, 24(10), 1388; https://doi.org/10.3390/e24101388 - 29 Sep 2022
Cited by 1 | Viewed by 2025
Abstract
Entanglement states serve as the central resource for a number of important applications in quantum information science, including quantum key distribution, quantum precision measurement, and quantum computing. In pursuit of more promising applications, efforts have been made to generate entangled states with more [...] Read more.
Entanglement states serve as the central resource for a number of important applications in quantum information science, including quantum key distribution, quantum precision measurement, and quantum computing. In pursuit of more promising applications, efforts have been made to generate entangled states with more qubits. However, the efficient creation of a high-fidelity multiparticle entanglement remains an outstanding challenge due to the difficulty that increases exponentially with the number of particles. We design an interferometer that is capable of coupling the polarization and spatial paths of photons and prepare 2-D four-qubit GHZ entanglement states. Using quantum state tomography, entanglement witness, and the violation of Ardehali inequality against local realism, the properties of the prepared 2-D four-qubit entangled state are analyzed. The experimental results show that the prepared four-photon system is an entangled state with high fidelity. Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)
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17 pages, 15383 KiB  
Article
Dynamics of Entropy Production Rate in Two Coupled Bosonic Modes Interacting with a Thermal Reservoir
by Tatiana Mihaescu and Aurelian Isar
Entropy 2022, 24(5), 696; https://doi.org/10.3390/e24050696 - 14 May 2022
Cited by 2 | Viewed by 1861
Abstract
The Markovian time evolution of the entropy production rate is studied as a measure of irreversibility generated in a bipartite quantum system consisting of two coupled bosonic modes immersed in a common thermal environment. The dynamics of the system is described in the [...] Read more.
The Markovian time evolution of the entropy production rate is studied as a measure of irreversibility generated in a bipartite quantum system consisting of two coupled bosonic modes immersed in a common thermal environment. The dynamics of the system is described in the framework of the formalism of the theory of open quantum systems based on completely positive quantum dynamical semigroups, for initial two-mode squeezed thermal states, squeezed vacuum states, thermal states and coherent states. We show that the rate of the entropy production of the initial state and nonequilibrium stationary state, and the time evolution of the rate of entropy production, strongly depend on the parameters of the initial Gaussian state (squeezing parameter and average thermal photon numbers), frequencies of modes, parameters characterising the thermal environment (temperature and dissipation coefficient), and the strength of coupling between the two modes. We also provide a comparison of the behaviour of entropy production rate and Rényi-2 mutual information present in the considered system. Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)
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9 pages, 1100 KiB  
Article
Experimental Investigation of the Robustness of a New Bell-Type Inequality of Triphoton GHZ States in Open Systems
by Jiaqiang Zhao, Meijiao Wang, Lianzhen Cao, Yang Yang, Xia Liu, Qinwei Zhang, Huaixin Lu and Kellie Ann Driscoll
Entropy 2021, 23(11), 1514; https://doi.org/10.3390/e23111514 - 15 Nov 2021
Cited by 1 | Viewed by 1986
Abstract
Knowing the level of entanglement robustness against quantum bit loss or decoherence mechanisms is an important issue for any application of quantum information. Fidelity of states can be used to judge whether there is entanglement in multi-particle systems. It is well known that [...] Read more.
Knowing the level of entanglement robustness against quantum bit loss or decoherence mechanisms is an important issue for any application of quantum information. Fidelity of states can be used to judge whether there is entanglement in multi-particle systems. It is well known that quantum channel security in QKD can be estimated by measuring the robustness of Bell-type inequality against noise. We experimentally investigate a new Bell-type inequality (NBTI) in the three-photon Greenberger–Horne–Zeilinger (GHZ) states with different levels of spin-flip noise. The results show that the fidelity and the degree of violation of the NBTI decrease monotonically with the increase of noise intensity. They also provide a method to judge whether there is entanglement in three-particle mixed states. Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)
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21 pages, 521 KiB  
Article
A Computable Gaussian Quantum Correlation for Continuous-Variable Systems
by Liang Liu, Jinchuan Hou and Xiaofei Qi
Entropy 2021, 23(9), 1190; https://doi.org/10.3390/e23091190 - 9 Sep 2021
Cited by 5 | Viewed by 1686
Abstract
Generally speaking, it is difficult to compute the values of the Gaussian quantum discord and Gaussian geometric discord for Gaussian states, which limits their application. In the present paper, for any (n+m)-mode continuous-variable system, a computable Gaussian quantum [...] Read more.
Generally speaking, it is difficult to compute the values of the Gaussian quantum discord and Gaussian geometric discord for Gaussian states, which limits their application. In the present paper, for any (n+m)-mode continuous-variable system, a computable Gaussian quantum correlation M is proposed. For any state ρAB of the system, M(ρAB) depends only on the covariant matrix of ρAB without any measurements performed on a subsystem or any optimization procedures, and thus is easily computed. Furthermore, M has the following attractive properties: (1) M is independent of the mean of states, is symmetric about the subsystems and has no ancilla problem; (2) M is locally Gaussian unitary invariant; (3) for a Gaussian state ρAB, M(ρAB)=0 if and only if ρAB is a product state; and (4) 0M((ΦAΦB)ρAB)M(ρAB) holds for any Gaussian state ρAB and any Gaussian channels ΦA and ΦB performed on the subsystem A and B, respectively. Therefore, M is a nice Gaussian correlation which describes the same Gaussian correlation as Gaussian quantum discord and Gaussian geometric discord when restricted on Gaussian states. As an application of M, a noninvasive quantum method for detecting intracellular temperature is proposed. Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)
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15 pages, 859 KiB  
Article
Tavis–Cummings Model with Moving Atoms
by Sayed Abdel-Khalek, Kamal Berrada, Eied M. Khalil, Hichem Eleuch, Abdel-Shafy F. Obada and Esraa Reda
Entropy 2021, 23(4), 452; https://doi.org/10.3390/e23040452 - 12 Apr 2021
Cited by 9 | Viewed by 2588
Abstract
In this work, we examine a nonlinear version of the Tavis–Cummings model for two two-level atoms interacting with a single-mode field within a cavity in the context of power-law potentials. We consider the effect of the particle position that depends on the velocity [...] Read more.
In this work, we examine a nonlinear version of the Tavis–Cummings model for two two-level atoms interacting with a single-mode field within a cavity in the context of power-law potentials. We consider the effect of the particle position that depends on the velocity and acceleration, and the coupling parameter is supposed to be time-dependent. We examine the effect of velocity and acceleration on the dynamical behavior of some quantumness measures, namely as von Neumann entropy, concurrence and Mandel parameter. We have found that the entanglement of subsystem states and the photon statistics are largely dependent on the choice of the qubit motion and power-law exponent. The obtained results present potential applications for quantum information and optics with optimal conditions. Full article
(This article belongs to the Special Issue Dynamics of Quantum Correlations in Open Systems)
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