Special Issue "Quantum Dynamics in Josephson Junctions and Symmetry"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (30 April 2023) | Viewed by 10698

Special Issue Editor

Physics Department, Lomonosov Moscow State University, 119991 Moscow, Russia
Interests: Josephson systems; quantum computations; superconducting spintronics; artificial neural networks; quantum optics; physics of plasmas
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Special Issue Information

Dear Colleagues,

A programmable quantum computer based on superconducting technologies has already demonstrated supremacy over the most powerful supercomputers in the world when solving a specially developed test problem. Existing quantum processors on Josephson junctions differ in the number and type of qubits, the number of interqubit connections, and their physical implementation. From the outside, such computers resemble a complex quantum system with sophisticated techniques for state control and read-out. This allows Quantum Dynamics in Josephson Junction Systems to be used for analyzing solutions to a number of problems from a wide variety of fields, including molecular chemistry, biology, periodic and quasiperiodic crystals, and pattern recognition. On the other hand, the accumulated methods of applying the "laws of symmetry" to physics, chemistry, biology, mathematics, and computer science can be used to improve Josephson quantum computers. These two mutually complementary features inspired us to start working on this multidisciplinary Special Issue of the Symmetry journal.

Prof. Nikolay Klenov
Guest Editor

Manuscript Submission Information

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Keywords

  • Josephson qubits
  • Josephson neural networks
  • Quantum supremacy
  • Quantum simulations
  • Quantum operations

Published Papers (6 papers)

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Research

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10 pages, 4739 KiB  
Article
Controlling I-V Hysteresis in Al/Pt Bilayer Symmetric SQUIDs at Millikelvin Temperatures
Symmetry 2023, 15(2), 550; https://doi.org/10.3390/sym15020550 - 18 Feb 2023
Viewed by 1314
Abstract
We study operation of a superconducting quantum interference devices (SQUIDs) based on a new bilayer material. They can be used for the ultra-sensitive detection of magnetic momentum at temperatures down to milliKelvin range. Typically, thermal origin hysteresis of the symmetric SQUID current-voltage curves [...] Read more.
We study operation of a superconducting quantum interference devices (SQUIDs) based on a new bilayer material. They can be used for the ultra-sensitive detection of magnetic momentum at temperatures down to milliKelvin range. Typically, thermal origin hysteresis of the symmetric SQUID current-voltage curves limits operating temperatures to T>0.6Tc. We used a new bilayer material for SQUID fabrication, namely proximity-coupled superconductor/normal-metal (S/N) bilayers (aluminum 25 nm/platinum 5 nm). Because of the 5 nm Pt-layer, Al/Pt devices show nonhysteretic behavior in a broad temperature range from 20 mK to 0.8 K. Furthermore, the Al/Pt bilayer devices demonstrate an order of magnitude lower critical current compared to the Al devices, which decreases the screening parameter (βL) and improves the modulation depth of the critical current by magnetic flux. Operation at lower temperatures reduces thermal noise and increases the SQUID magnetic field resolution. Moreover, we expect strong decrease of two-level fluctuators on the surface of aluminum due to Pt-layer oxidation protection and hence significant reduction of the 1/f noise. Optimized geometry of Al/Pt symmetric SQUIDs is promising for the detection of single-electron spin flip. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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12 pages, 2201 KiB  
Article
Peculiarities of Electron Wave Packet Dynamics in Planar Nanostructures in the Presence of Magnetic and Electric Fields
Symmetry 2022, 14(10), 2215; https://doi.org/10.3390/sym14102215 - 20 Oct 2022
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Abstract
Currently, spatially localized electron densities and currents are considered to be candidates for use in the encoding of quantum information. For this reason, the control of their temporal dynamics is an important task. In this work, the spatiotemporal evolution of an electron wave [...] Read more.
Currently, spatially localized electron densities and currents are considered to be candidates for use in the encoding of quantum information. For this reason, the control of their temporal dynamics is an important task. In this work, the spatiotemporal evolution of an electron wave packet in planar nanostructure in the presence of transverse magnetic and lateral electric fields is investigated by direct analytical solution of the non-stationary Schrödinger equation. Methods to control and manage the dynamics of the spatially localized electron density distribution are developed. The production of photon-like quantum states of electrons opens up opportunities for applications similar to quantum optical and quantum information technologies but implemented with charge carriers. Quantum control of the trajectory of the electron wave packet, accompanied by dramatic suppression of its spreading, is demonstrated. This study discovered methods to manage spatially localized electron behavior in a nanostructure that allows a controllable charge quantum transfer and gives rise to new prospects for quantum nanoelectronics technology. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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10 pages, 8317 KiB  
Article
Superconductivity in Hierarchical 3D Nanostructured Pb–In Alloys
Symmetry 2022, 14(10), 2142; https://doi.org/10.3390/sym14102142 - 13 Oct 2022
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Abstract
The superconducting properties of hierarchical nanostructured samples of Pb–In alloys have been studied by the measurement of dynamic susceptibility χ(T) temperature dependence. Symmetric samples with different shapes and sizes were formed on a brass metallic net by cathode-metal electrodeposition with [...] Read more.
The superconducting properties of hierarchical nanostructured samples of Pb–In alloys have been studied by the measurement of dynamic susceptibility χ(T) temperature dependence. Symmetric samples with different shapes and sizes were formed on a brass metallic net by cathode-metal electrodeposition with a programmed pulsing current. Two different kinds of χ(T) dependence were observed in synthesized structures. The first kind was a broad superconductive transition without energy dissipation with a very weak response to the external magnetic field. The second kind was, conversely, an abrupt transition signifying an energy dissipation with a significant field response. This behavior depends on the ratio between a superconducting domain size (defined by the London penetration depth λ) and a crystallite size. In these cases, one or several superconducting domains are present in a sample. This result paves the way to controlling a superconducting domain size in materials with the parameters of a pulsed current. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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12 pages, 22266 KiB  
Article
Dynamic Processes in a Superconducting Adiabatic Neuron with Non-Shunted Josephson Contacts
Symmetry 2021, 13(9), 1735; https://doi.org/10.3390/sym13091735 - 18 Sep 2021
Cited by 2 | Viewed by 2212
Abstract
We investigated the dynamic processes in a superconducting neuron based on Josephson contacts without resistive shunting (SC-neuron). Such a cell is a key element of perceptron-type neural networks that operate in both classical and quantum modes. The analysis of the obtained [...] Read more.
We investigated the dynamic processes in a superconducting neuron based on Josephson contacts without resistive shunting (SC-neuron). Such a cell is a key element of perceptron-type neural networks that operate in both classical and quantum modes. The analysis of the obtained results allowed us to find the mode when the transfer characteristic of the element implements the “sigmoid” activation function. The numerical approach to the analysis of the equations of motion and the Monte Carlo method revealed the influence of inertia (capacitances), dissipation, and temperature on the dynamic characteristics of the neuron. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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Review

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32 pages, 14202 KiB  
Review
A Survey on Symmetrical Neural Network Architectures and Applications
Symmetry 2022, 14(7), 1391; https://doi.org/10.3390/sym14071391 - 06 Jul 2022
Cited by 9 | Viewed by 2256
Abstract
A number of modern techniques for neural network training and recognition enhancement are based on their structures’ symmetry. Such approaches demonstrate impressive results, both for recognition practice, and for understanding of data transformation processes in various feature spaces. This survey examines symmetrical neural [...] Read more.
A number of modern techniques for neural network training and recognition enhancement are based on their structures’ symmetry. Such approaches demonstrate impressive results, both for recognition practice, and for understanding of data transformation processes in various feature spaces. This survey examines symmetrical neural network architectures—Siamese and triplet. Among a wide range of tasks having various mathematical formulation areas, especially effective applications of symmetrical neural network architectures are revealed. We systematize and compare different architectures of symmetrical neural networks, identify genetic relationships between significant studies of different authors’ groups, and discuss opportunities to improve the element base of such neural networks. Our survey builds bridges between a large number of isolated studies with significant practical results in the considered area of knowledge, so that the presented survey acquires additional relevance. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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20 pages, 2528 KiB  
Review
Theoretical Basis of Quantum-Mechanical Modeling of Functional Nanostructures
Symmetry 2021, 13(5), 883; https://doi.org/10.3390/sym13050883 - 16 May 2021
Cited by 1 | Viewed by 2356
Abstract
The paper presents an analytical review of theoretical methods for modeling functional nanostructures. The main evolutionary changes in the approaches of quantum-mechanical modeling are described. The foundations of the first-principal theory are considered, including the stationery and time-dependent Schrödinger equations, wave functions, the [...] Read more.
The paper presents an analytical review of theoretical methods for modeling functional nanostructures. The main evolutionary changes in the approaches of quantum-mechanical modeling are described. The foundations of the first-principal theory are considered, including the stationery and time-dependent Schrödinger equations, wave functions, the form of writing energy operators, and the principles of solving equations. The idea and specifics of describing the motion and interaction of nuclei and electrons in the framework of the theory of the electron density functional are presented. Common approximations and approaches in the methods of quantum mechanics are presented, including the Born–Oppenheimer approximation, the Hartree–Fock approximation, the Thomas–Fermi theory, the Hohenberg–Kohn theorems, and the Kohn–Sham formalism. Various options for describing the exchange–correlation energy in the theory of the electron density functional are considered, such as the local density approximation, generalized and meta-generalized gradient approximations, and hybridization of the generalized gradient method. The development of methods of quantum mechanics to quantum molecular dynamics or the dynamics of Car–Parrinello is shown. The basic idea of combining classical molecular modeling with calculations of the electronic structure, which is reflected in the potentials of the embedded atom, is described. Full article
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
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