Mathematical Structures in Quantum Information and Photonics: From Foundations to Applications

A special issue of AppliedMath (ISSN 2673-9909).

Deadline for manuscript submissions: 28 February 2026 | Viewed by 299

Special Issue Editor


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Guest Editor
Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Torun, 87-100 Torun, Poland
Interests: quantum optics; entanglement; quantum dynamics; open quantum systems; non-Markovian evolution; quantum state tomography; time-bin encoding; phase retrieval; quantum Hamiltonian tomography; tomography; entanglement measures; quantum measurement; decoherence
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Special Issue Information

Dear Colleagues,

Quantum information and photonics are rapidly advancing fields at the intersection of mathematics, physics, and engineering. Theoretical models and mathematical frameworks are crucial in understanding and designing quantum systems, from quantum communication protocols to photonic implementations of quantum computing. This Special Issue of AppliedMath, titled "Mathematical Structures in Quantum Information and Photonics: From Foundations to Applications", aims to bring together contributions that explore the mathematical foundations of quantum technologies and their practical implementations.

We invite submissions that address fundamental models, novel mathematical frameworks, and applied results related to quantum information theory, quantum optics, entanglement, quantum computing, and network design. Both theoretical and interdisciplinary studies are welcome, including works that link mathematics to experimental and engineering applications in quantum photonics.

Dr. Artur Czerwinski
Guest Editor

Manuscript Submission Information

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Keywords

  • quantum information theory
  • mathematical physics
  • quantum entanglement
  • quantum photonics
  • quantum optics
  • quantum computing
  • quantum communication
  • network models
  • quantum algorithms
  • operator theory

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Published Papers (1 paper)

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Research

15 pages, 281 KB  
Article
Implicit Quiescent Optical Soliton Perturbation with Nonlinear Chromatic Dispersion and Kudryashov’s Self-Phase Modulation Structures for the Complex Ginzburg–Landau Equation Using Lie Symmetry: Linear Temporal Evolution
by Abdullahi Rashid Adem, Oswaldo González-Gaxiola and Anjan Biswas
AppliedMath 2025, 5(3), 119; https://doi.org/10.3390/appliedmath5030119 - 3 Sep 2025
Viewed by 116
Abstract
This paper investigates quiescent solitons in optical fibers and crystals, modeled by the complicated Ginzburg–Landau equation incorporating nonlinear chromatic dispersion and six self-phase modulation structures introduced by Kudryashov. The model is formulated with linear temporal evolution and analyzed using Lie symmetry methods. The [...] Read more.
This paper investigates quiescent solitons in optical fibers and crystals, modeled by the complicated Ginzburg–Landau equation incorporating nonlinear chromatic dispersion and six self-phase modulation structures introduced by Kudryashov. The model is formulated with linear temporal evolution and analyzed using Lie symmetry methods. The study also identified parameter constraints under which solutions exist. Full article
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