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Toponomic Quantum Computation
Modern Physics Letters A. 2022. Vol. 37. No. 27. Article 2250184.
Holonomic quantum computation makes use of non-abelian geometric phases, associated to the evolution of a subspace of quantum states, to encode logical gates. We identify a special class of subspaces, for which a sequence of rotations results in a non-abelian holonomy of a topological nature, so that it is invariant under any SU(3)-perturbation. Making use of a Majorana-like stellar representation for subspaces, we give explicit examples of topological-holonomic (or toponomic) NOT and CNOT gates.
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Machine Learning and Knowledge Extraction 2026 Vol. 8 No. 10 Article 330
Automated microscopic image analysis is essential for quantitative microbiology, yet manual acquisition and generic recognition models struggle with morphological variability and scene artifacts. We address both ends of this pipeline. First, we present a low-cost, open-source acquisition system, based on an Arduino UNO R3 microcontroller and NEMA 17 stepper motors, that automates focusing, magnification, and ...
Added: October 14, 2026
Mamedov I., Fofanov M., Lukianchenko P. et al., IEEE Access 2026 No. 14 P. 26662–26671
DreamBooth-style personalization, which often relies on one or a few images, can memorize context (background, pose, lighting) rather than learning the subject’s identity, thereby reducing fidelity and limiting prompt-driven edits. P-LoRA (Probability LoRA) is introduced as a training-time modification that biases diffusion timestep sampling and utilizes importance weights, ensuring that the overall objective remains unchanged. ...
Added: October 14, 2026
Parkhomenko V., Kulikova S., Buzmakov A. V., Lobachevskii Journal of Mathematics 2026 Vol. 47 No. 6 P. 2979–2992
The stability of formal concepts and its generalization as robustness are considered in the paper. We use an approximation of stability in the form of Δ-measure for fast calculations. A computationally efficient method for calculating robustness based on subcontexts is presented. We also present a new method to analytically evaluate the number of preimages for ...
Added: October 14, 2026
Kuznetsov A. P., Sedova Y. V., Sataev I. R. et al., Mathematics and Computers in Simulation 2027 Vol. 2 P. 574–592
Universal bifurcation structures on the parameter plane of nonlinear systems, known as shrimps, are discussed. An overview of numerous examples from various fields of science is given. Shrimps are typical for both maps of different dimensions and flows. The varieties of shrimp are discussed and relevant examples are given. The similarity property on the parameter ...
Added: October 14, 2026
Springer, 2026.
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the XIV International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2025). The carefully selected papers cover ...
Added: October 13, 2026
Springer, 2026.
This book offers a comprehensive overview of the latest research, innovations, and practical applications in the field of sustainability, with a focus on construction materials and their use in building and civil engineering structures. As an outcome of the 3rd International Conference on Sustainability: Developments and Innovations (ICSDI 2026), this book presents a selection of ...
Added: October 13, 2026
Dmitriev A., Kornilov V., Batienkov R., Lecture Notes in Civil Engineering 2026 Vol. 886 P. 249–255
Numerous studies have provided compelling evidence that the probability distribution of avalanche sizes follows a power law, and that 1/f noise is present in the stochastic dynamics of landslides. We present a theoretical explanation of these phenomena within the framework of self-organized criticality theory, proposing a discrete-time model in the form of a sandpile cellular ...
Added: October 13, 2026
Dmitriev A., Shulman I., Lebedev A., Studies in Computational Intelligence 2026 Vol. 1265 P. 266–273
A discrete-time model is presented for the self-organization of the X/Twitter social network to the edge of a phase transition, characterized by avalanche-like propagation of information in the network. The model is based on the analogy between the critical dynamics of the X social network and sandpile cellular automata with Manna rule on the Chung-Lu ...
Added: October 13, 2026
Seidov S., Pugach N., Sidorenko A., Beilstein Journal of Nanotechnology 2025 Vol. 16 P. 1668–1676
In this work we consider a spin model composed of a single spin and connected to an infinitely coordinated Ising chain. Theoretical models of this type arise from various fields of theoretical physics, such as theory of open systems, quantum control, and quantum computations. In the thermodynamic limit of an infinite chain, we map the ...
Added: January 12, 2026
Sergey Kuznetsov, Elena R. Loubenets, / Series arxiv.org "quant-ph". 2025. No. 2509.18059.
This paper is devoted to the problem of optimal generation of N-qubit gates for closed quantum systems -- a key task for the practical implementation of various quantum applications. Based on the generalized Bloch vectors formalism for a finite-dimensional quantum system, we develop a new optimal gates generation model, which is universal in the sense ...
Added: September 23, 2025
Ilya S., Grigoriy M., Moskalenko I. et al., Physical Review Applied 2024 Vol. 21 No. 4 P. 0
The Toffoli gate takes a special place in the quantum information theory. It opens up a path for efficient
implementation of complex quantum algorithms. Despite tremendous progress of the quantum processors
based on the superconducting qubits, realization of a high-fidelity three-qubit operation is still a challenging
problem. Here, we propose a way to perform a high-fidelity CCZ gate ...
Added: April 24, 2024
Chryssomalakos C., Flores-Delgado A. G., Guzmán-González E. et al., Journal of Physics A: Mathematical and Theoretical 2023 Vol. 56 No. 28 Article 285301
Given a curve in quantum spin state space, we inquire what is the relation between its geometry and the geometric phase accumulated along it. Motivated by Mukunda and Simon’s result that geodesics (in the standard Fubini-Study metric) do not accumulate geometric phase, we find a general expression for the derivatives (of various orders) of the ...
Added: June 22, 2023
Маршалко Г. Б., Денисенко Д. В., Рудской В. И. et al., Journal of Experimental and Theoretical Physics 2019 Vol. 128 No. 4 P. 552–559
Following the approach proposed in [3], we estimate resources of a quantum computer required for solving the key search problem of block cipher algorithms Kuznechik and Magma, defined by the national standard GOST R 34.12-2015, with the use of Grover’s quantum algorithm. ...
Added: October 7, 2022
Aguilar P., Chryssomalakos C., Guzman Gonzalez E. et al., Journal of Physics A: Mathematical and Theoretical 2020 Vol. 53 No. 6
Geometric phases, accumulated when a quantum system traces a cycle in quantum state space, do not depend on the parametrization of the cyclic path, but do depend on the path itself. In the presence of noise that deforms the path, the phase gets affected, compromising the robustness of possible applications, e.g. in quantum computing. We ...
Added: October 1, 2022
Dubovitskii K., Makhlin Y., Scientific Reports 2022 Vol. 12 No. 1 Article 10129
In randomized benchmarking of quantum logical gates, partial twirling can be used for simpler implementation, better scaling, and higher accuracy and reliability. For instance, for two-qubit gates, single-qubit twirling is easier to realize than full averaging. We analyze such simplified, partial twirling and demonstrate that, unlike for the standard randomized benchmarking, the measured decay of ...
Added: June 17, 2022