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Dynamics of Quantum Correlations in Open Systems

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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 10098

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Special Issue Editor

Prof. Dr. Aurelian Isar

E-Mail Website
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

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

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

Published Papers (6 papers)

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Editorial

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4 pages, 177 KiB

Open AccessEditorial

Dynamics of Quantum Correlations in Open Systems

by Aurelian Isar

Entropy 2023, 25(2), 196; https://0-doi-org.brum.beds.ac.uk/10.3390/e25020196 - 19 Jan 2023

Viewed by 1155

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

Open AccessArticle

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://0-doi-org.brum.beds.ac.uk/10.3390/e24101388 - 29 Sep 2022

Cited by 1 | Viewed by 1488

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 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

Open AccessArticle

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://0-doi-org.brum.beds.ac.uk/10.3390/e24050696 - 14 May 2022

Cited by 2 | Viewed by 1481

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 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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Figure 1

9 pages, 1100 KiB

Open AccessArticle

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://0-doi-org.brum.beds.ac.uk/10.3390/e23111514 - 15 Nov 2021

Cited by 1 | Viewed by 1572

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 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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Figure 1

21 pages, 521 KiB

Open AccessArticle

A Computable Gaussian Quantum Correlation for Continuous-Variable Systems

by Liang Liu, Jinchuan Hou and Xiaofei Qi

Entropy 2021, 23(9), 1190; https://0-doi-org.brum.beds.ac.uk/10.3390/e23091190 - 09 Sep 2021

Cited by 5 | Viewed by 1316

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.

(n + m)

-mode continuous-variable system, a computable Gaussian quantum correlation

M

is proposed. For any state

ρ_{A B}

of the system,

M (ρ_{A B})

depends only on the covariant matrix of

ρ_{A B}

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

ρ_{A B}

M (ρ_{A B}) = 0

if and only if

ρ_{A B}

is a product state; and (4)

0 \leq M ((Φ_{A} \otimes Φ_{B}) ρ_{A B}) \leq M (ρ_{A B})

holds for any Gaussian state

ρ_{A B}

and any Gaussian channels

Φ_{A}

and

Φ_{B}

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

Open AccessArticle

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://0-doi-org.brum.beds.ac.uk/10.3390/e23040452 - 12 Apr 2021

Cited by 8 | Viewed by 2113

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 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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