Special Issue "Quantum Information and Symmetry"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 30 November 2019.

Special Issue Editors

Guest Editor
Prof. Dr. Wiesław Leonski Website E-Mail
Faculty of Physics and Astronomy, Univeristy of Zielona Góra, ul. Z. Szafrana 4a, 65-516 Zielona Góra, Poland
Interests: quantum and nonlinear optics; quantum information theory; deterministic chaos; quantum chaos; cellular automata
Guest Editor
Dr. Joanna K. Kalaga Website E-Mail
Faculty of Physics and Astronomy, Univeristy of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland
Phone: +48 789-441-931
Fax: +48 68-328-2920
Interests: quantum optics, quantum information theory, quantum chaos, deterministic chaos
Guest Editor
Prof. Radosław Szczęśniak E-Mail
Institute of Physics, Częstochowa University of Technology, Armii Krajowej 19, 42-200 Częstochowa, Poland
Phone: +48 34-3250-795
Fax: +48 34-3250-795
Interests: solid state physics, superconducting, quantum information theory, chaos theory

Special Issue Information

 Dear Colleagues,

Recent research in the fields related to the quantum information theory (QIT) became one of the most intriguing and promising investigations in contemporary physics. Many novel QIT concepts are discussed in the literature, and the broad range of new models of quantum optics and solid state physics are recently considered in the context of QIT. For instance, new ideas concerning optical lattices, superconducting devices, nano-resonators, circuit QED models, nonlinear Kerr-like systems were topics of the numerous papers. Such articles were devoted not only to various aspects of quantum correlations such as quantum entanglement, quantum steering, EPR correlations or quantum discord but also to more practical proposals of the systems which could be applied in the quantum teleportation, quantum coding, quantum computing, etc. On the other hand, the ideas of symmetry are widely discussed in all physical sciences. They have become keystones of various concepts and considerations leading to the novel discoveries in physics. Thus, this Special issue is devoted to the broad range of QIT topics which are related to the ideas of symmetry. We would like to invite all Colleagues to submit their original research, review and short communication articles to the issue. Both theoretical and experimental submissions are welcome.

Prof. Wiesław Leonski
Dr. Joanna K. Kalaga
Prof. Radosław Szczęśniak
Guest Editors

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 papers will be 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. Symmetry 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 1400 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 optics
  • solid state physics
  • symmetry of quantum states
  • PT-symmetric Hamiltonians
  • nano-cavities
  • circuit QED
  • Copper pairs systems
  • quantum state engineering
  • EPR correlations
  • quantum entanglement
  • discord and steering

Published Papers (5 papers)

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Research

Open AccessArticle
Single-Qubit Driving Fields and Mathieu Functions
Symmetry 2019, 11(9), 1172; https://doi.org/10.3390/sym11091172 - 16 Sep 2019
Abstract
We report a new family of time-dependent single-qubit radiation fields for which the correspondent evolution operator can be disentangled in an exact way via the Wei–Norman formalism. Such fields are characterized in terms of the Mathieu functions. We show that the regions of [...] Read more.
We report a new family of time-dependent single-qubit radiation fields for which the correspondent evolution operator can be disentangled in an exact way via the Wei–Norman formalism. Such fields are characterized in terms of the Mathieu functions. We show that the regions of stability of the Mathieu functions determine the nature of the driving fields: For parameters in the stable region, the fields are oscillating, being able to be periodic under certain conditions. Whereas, for parameters in the instability region, the fields are pulse-like. In addition, in the stability region, this family admits solutions for evolution loops in quantum control. We obtain some prescriptions to reach such a control effect. Geometric phases in the evolution are also analyzed and discussed. Full article
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Open AccessArticle
The Entanglement Generation in P T -Symmetric Optical Quadrimer System
Symmetry 2019, 11(9), 1110; https://doi.org/10.3390/sym11091110 - 03 Sep 2019
Abstract
We discuss a model consisting of four single-mode cavities with gain and loss energy in the first and last modes. The cavities are coupled to each other by linear interaction and form a chain. Such a system is described by a non-Hermitian Hamiltonian [...] Read more.
We discuss a model consisting of four single-mode cavities with gain and loss energy in the first and last modes. The cavities are coupled to each other by linear interaction and form a chain. Such a system is described by a non-Hermitian Hamiltonian which, under some conditions, becomes P T -symmetric. We identify the phase-transition point and study the possibility of generation bipartite entanglement (entanglement between all pairs of cavities) in the system. Full article
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Open AccessArticle
Asymmetry of Quantum Correlations Decay in Nonlinear Bosonic System
Symmetry 2019, 11(8), 1023; https://doi.org/10.3390/sym11081023 - 08 Aug 2019
Abstract
We study the problem of the influence of one-sided different noisy channels to the quantum correlations decay in a symmetric bosonic system. We concentrate on one type of these correlations—the entanglement. The system under consideration is composed of two nonlinear oscillators coupled by [...] Read more.
We study the problem of the influence of one-sided different noisy channels to the quantum correlations decay in a symmetric bosonic system. We concentrate on one type of these correlations—the entanglement. The system under consideration is composed of two nonlinear oscillators coupled by two-boson interactions and externally driven by a continuous coherent field. Our low-dimensional system can be treated as 2-qutrit one. Two different noisy channels (the amplitude and the phase-damping reservoirs) are applied to both of the system’s modes. We show that there is a noticeable difference in the quantum entanglement in 2-qubit subspaces of the whole system decrease after swapping the reservoirs between the modes of the considered symmetric system. It appears also that the degree of obtained entanglement depends crucially on the position of the appropriate type of reservoir. The origin of the observed asymmetry is also explained. Full article
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Open AccessArticle
Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity
Symmetry 2019, 11(8), 1020; https://doi.org/10.3390/sym11081020 - 07 Aug 2019
Abstract
Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear cross-Kerr effect, is investigated. Stationary states are found and their stability analysis is given. Exceptional [...] Read more.
Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear cross-Kerr effect, is investigated. Stationary states are found and their stability analysis is given. Exceptional points for PT -symmetric cases are identified. Quantum dynamics treated by the model of linear operator corrections to a classical solution reveals nonclassical properties of individual modes (squeezing) as well as their entanglement. Full article
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Open AccessArticle
Characteristics of the s–Wave Symmetry Superconducting State in the BaGe3 Compound
Symmetry 2019, 11(8), 977; https://doi.org/10.3390/sym11080977 - 01 Aug 2019
Abstract
Thermodynamic properties of the s–wave symmetry superconducting phase in three selected structures of the BaGe3 compound (P63/mmc, Amm2, and I4/mmm) were discussed in [...] Read more.
Thermodynamic properties of the s–wave symmetry superconducting phase in three selected structures of the BaGe 3 compound ( P 6 3 / m m c , A m m 2 , and I 4 / m m m ) were discussed in the context of DFT results obtained for the Eliashberg function. This compound may enable the implementation of systems for quantum information processing. Calculations were carried out within the Eliashberg formalism due to the fact that the electron–phonon coupling constant falls within the range λ 0.73 , 0.86 . The value of the Coulomb pseudopotential was assumed to be 0.122 , in accordance with the experimental results. The value of the Coulomb pseudopotential was assumed to be 0.122 , in accordance with the experimental results. The existence of the superconducting state of three different critical temperature values, namely, 4.0 K, 4.5 K and 5.5 K, depending on the considered structure, was stated. We determined the differences in free energy ( Δ F ) and specific heat ( Δ C ) between the normal and the superconducting states, as well as the thermodynamic critical field ( H c ) as a function of temperature. A drop in the H c value to zero at the temperature of 4.0 K was observed for the P 6 3 / m m c structure, which is in good accordance with the experimental data. Further, the values of the dimensionless thermodynamic parameters of the superconducting state were estimated as: R Δ = 2 Δ ( 0 ) / k B T c { 3.68 , 3.8 , 3.8 } , R C = Δ C ( T c ) / C N ( T c ) { 1.55 , 1.71 , 1.75 } , and R H = T c C N ( T c ) / H c 2 ( 0 ) { 0.168 , 0.16 , 0.158 } , which are slightly different from the predictions of the Bardeen–Cooper–Schrieffer theory ( [ R Δ ] B C S = 3.53 , [ R C ] B C S = 1.43 , and [ R H ] B C S = 0.168 ). This is caused by the occurrence of small retardation and strong coupling effects. Full article
(This article belongs to the Special Issue Quantum Information and Symmetry)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Single-qubit driving fields and Mathieu functions
Authors: Marco Enríquez, Alfonso Jaimes-Nájera and Francisco Delgado
Abstract: We report a new family of time-dependent single-qubit radiation fields for which the correspondent evolution operator can be disentangled in an exact way via the Wei-Norman formalism. Such fields are characterized in terms of the Mathieu functions. We show that the regions of stability of the Mathieu  functions determine the nature of the driving fields: for parameters in the stable region, the fields are oscillating, being able to be periodic under certain conditions. Whereas for parameters in the unstable region the fields are pulse-like. In addition, in the stability region, this family admits solutions for evolution loops in quantum control. We get prescriptions to reach such control effect. Geometric phases in the evolution are also analyzed and discussed.

 

Title: Ground state entanglement witness in an open alternating spin (s=1/2) chain with XY-Hamiltonian
Authors: Alexey Pyrkov
Abstract: We have shown the existence of an energy gap in a finite open alternating chain of nuclear spins s = 1/2 with an XY-Hamiltonian  for the case when total number of spins is odd and found connection between the ground state entanglement between ends of the chain and the energy gap. A comparative analysis of entanglement in a gapless homogeneous chain is carried out. Behaviour of the entanglement at low finite temperatures is also discussed. 

 

 

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