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Constructive Quantum Mechanics Based on Finite Groups 基于有限群的构造量子力学
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700108
V. V. Kornyak

A formulation of quantum mechanics based on replacing the general unitary group by finite groups is considered. To solve problems arising in the context of this formulation, we use computer algebra and computational group theory methods.

考虑了用有限群代替一般酉群的量子力学表述。为了解决在这个公式的背景下出现的问题,我们使用计算机代数和计算群论方法。
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引用次数: 0
Study of Nucleon Charge-Exchange Processes in the Fragmentation of 12C with the Energy of 300 MeV/Nucleon 能量为300 MeV/核子的12C碎裂中核子电荷交换过程的研究
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700170
A. A. Kulikovskaya, M. A. Martemianov

Search for reactions with nucleon charge exchange in the fragmentation of carbon nuclei with the energy of 300 MeV/nucleon on a thin beryllium target is performed on the FRAGM fragment separator of the TWAC accelerator complex. The experimental setup arranged at the angle of 3.5° with respect to the incident beam has a high momentum resolution. Differential cross sections for yields of 11Be, 12B, and 12Be nuclei are measured as a function of the momentum of these nuclei. The experimental data are compared with theoretical predictions of various nucleus–nucleus interaction models and other experimental results. Nucleon charge-exchange processes in this energy range are measured for the first time. New data are obtained for verification of theoretical models of nucleus–nucleus interactions.

在TWAC加速器配合物的FRAGM碎片分离器上,对能量为300 MeV/核子的碳核在薄铍靶上破碎时的核子电荷交换反应进行了搜索。与入射光束成3.5°角的实验装置具有较高的动量分辨率。11Be、12B和12Be原子核的产率的微分截面作为这些原子核动量的函数来测量。实验数据与各种核-核相互作用模型的理论预测和其他实验结果进行了比较。在此能量范围内,首次测量了核子电荷交换过程。获得了验证核-核相互作用理论模型的新数据。
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引用次数: 0
Intelligent Information Technologies Based on Quantum Computing in the Task of Controlling Elements of an Accelerator Complex 基于量子计算的智能信息技术在加速器复合体控制元件任务中的应用
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700054
A. G. Reshetnikov, S. V. Ulyanov

This article presents a technology being developed for the design of an intelligent robust control system based on quantum and soft computing. The corresponding software tools and stages of creating an embedded control system are presented. In particular, the application of soft computing, fuzzy logic, fuzzy neural networks, and evolutionary and quantum computing using quantum-inspired algorithms implemented on classical processors is considered. As an illustrative example, the problem of controlling refrigerant pressure during testing of superconducting magnets is addressed. The results of applying a coordination control system with an integrated quantum controller are presented.

本文介绍了一种基于量子和软计算的智能鲁棒控制系统的设计技术。介绍了相应的软件工具和建立嵌入式控制系统的步骤。特别是,软计算,模糊逻辑,模糊神经网络的应用,进化和量子计算使用量子启发算法实现在经典处理器。以超导磁体测试过程中制冷剂压力的控制为例进行了说明。给出了集成量子控制器的协调控制系统的应用结果。
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引用次数: 0
On the Dichotomy between Quatrits and Pairs of Qubits in the Stratonovich-Weyl Correspondence 论Stratonovich-Weyl对应中量子位元的四元和对的二分法
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700145
A. Khvedelidze, I. Rogozhin

The issue of the dichotomy between the elementary and composite nature of a finite-dimensional quantum system is discussed within the framework of the generalized Stratonovich–Weyl formulation of quantum mechanics. Performing numerical studies, we demonstrate how information on the possibility of realizing a virtual 2-level subsystem is encoded in the properties of the Wigner function of a total 4-level system.

在量子力学的广义Stratonovich-Weyl公式的框架内讨论了有限维量子系统的基本性质和复合性质的二分问题。通过数值研究,我们展示了关于实现虚拟2级子系统的可能性的信息如何被编码到一个总4级系统的Wigner函数的属性中。
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引用次数: 0
Computation of Operator Exponentials Using the Dunford–Cauchy Integral 用Dunford-Cauchy积分计算算子指数
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700078
A. N. Tsirulev

We consider an (n)-qubit quantum system with a Hamiltonian, defined by an expansion in the Pauli basis, and propose a new algorithm for classical computing the exponential of the Hamiltonian. The algorithm is based on the representation of the exponential by the Dunford–Cauchy integral, followed by an efficient computation of the resolvent, and is suitable for Hamiltonians that are sparse in the Pauli basis. The practical efficiency of the algorithm is demonstrated by two illustrative examples.

我们考虑了一个(n) -qubit量子系统,它具有一个由泡利基展开定义的哈密顿量,并提出了一个经典计算哈密顿量指数的新算法。该算法以Dunford-Cauchy积分表示指数为基础,然后高效地计算解,适用于泡利基中稀疏的哈密顿量。通过两个算例验证了该算法的实际有效性。
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引用次数: 0
Long-Time Behavior of Multi-Level Open Systems Interacting with Non-Vacuum Reservoirs 多级开放系统与非真空储层相互作用的长期行为
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700121
A. E. Teretenkov

The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical uncorrelated reservoirs in diagonal states we have obtained the first perturbative correction for such dynamics in the Bogolubov–van Hove limit. We have shown that after initial state renormalization it can be completely described in terms of finite-dimensional semigroup. The method we provide can also be applied to the further orders of perturbation theory with Bogolubov–van Hove scaling.

考虑了旋转波近似下多级开放量子系统与非真空储层相互作用的模型。我们给出了系统密度矩阵的精确积分表示。对于处于对角线状态的相同的不相关储层,我们在Bogolubov-van Hove极限下获得了这种动力学的第一个摄动校正。我们已经证明,在初始状态重整后,它可以完全用有限维半群来描述。我们提供的方法也可以应用于具有Bogolubov-van Hove标度的微扰理论的其他阶数。
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引用次数: 0
Erratum to: Quantum Phase Transitions in an Accelerated Medium 《加速介质中的量子相变》的勘误
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625040033
G. Yu. Prokhorov, O. V. Teryaev, V. I. Zakharov
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引用次数: 0
Efficient Dictionary Search Quantum Algorithms 高效字典搜索量子算法
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700017
F. M. Ablayev, N. M. Salikhova, M. F. Ablayev

In this paper, we consider the problem of searching for an element in a dictionary. Various approaches to solving this problem have been proposed in recent decades: classical and quantum algorithms. We present two algorithms: a hybrid classical-quantum algorithm [1], that implements Grover’s search, and a “pure” quantum algorithm based on the quantum fingerprinting technique. Both algorithms work (a) with a high probability of obtaining the correct result and (b) with a quadratic query acceleration compared to the classical one. Our algorithms are much more memory efficient in terms of the number of qubits used compared to previously known quantum algorithms.

在本文中,我们考虑在字典中搜索一个元素的问题。近几十年来,人们提出了各种解决这个问题的方法:经典算法和量子算法。我们提出了两种算法:一种是实现Grover搜索的混合经典量子算法[1],另一种是基于量子指纹技术的“纯”量子算法。这两种算法(a)都具有获得正确结果的高概率,(b)与经典算法相比具有二次查询加速。与之前已知的量子算法相比,我们的算法在使用量子位的数量方面具有更高的内存效率。
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引用次数: 0
Measure of Entanglement Production by Quantum Operations 量子运算产生纠缠的测量
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S106377962570008X
V. I. Yukalov, E. P. Yukalova

A measure of entanglement production by quantum operations is suggested. This measure is general, being valid for operations over pure states as well as over mixed states, for equilibrium as well as for nonequilibrium processes. The measure of entanglement production satisfies all properties typical of such a characteristic. Systems of arbitrary nature can be treated, described by field operators, spin operators, or any other operators, which is realized by defining generalized correlation matrices. Particular cases of entanglement production are considered.

提出了量子操作产生纠缠的一种度量方法。这个度量是通用的,对纯态和混合态的操作都有效,对平衡和非平衡过程都有效。纠缠产生的度量满足这种特征的所有典型性质。任意性质的系统可以用场算子、自旋算子或任何其他算子来处理和描述,这是通过定义广义相关矩阵来实现的。考虑了产生缠结的特殊情况。
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引用次数: 0
A Review on NOPTREX Experiment: The Investigation of Time Reversal Violations and It’s Past, Present, and Future NOPTREX实验综述:时间反转违规及其过去、现在和未来的研究
IF 0.5 4区 物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-08-29 DOI: 10.1134/S1063779625700169
A. Adhikary, P. K. Das

In this universe, the matter-antimatter asymmetry is one of the major mysteries. This baryonic asymmetry can not be fully described within the current frame of standard model rather than we need to go beyond standard model of physics (BSM) but the main problem of BSM is that it is restricted by many complicated boundaries. In search of BSM, we need to prove CPT violation in nature, though CP violation has been observed already but this violation anticipated by the standard model is very small to describe the magnitude of baryonic asymmetry and search for T-violation is still ongoing. Neutron Optics Parity and Time Reversal Experiment (NOPTREX) is one such experiment that is working on the larger search for proof of time reversal violation(TRV). This experiment specifically seeks to investigate time-reversal violation in neutron interactions with heavy nuclei under specific conditions of narrow neutron-nuclear resonances, particularly focusing on orbital angular momentum L = 1. The investigation involves examining potential phase shifts in the transmitted neutron wave function, specifically looking at a term represented by (S = {{sigma }_{n}}({{k}_{n}} times I)), where ({{sigma }_{n}}) denotes the neutron spin, ({{k}_{n}}) signifies the neutron momentum, and I represents the nucleus spin.This paper delves into the historical evolution of research on Time Reversal Violation (TRV), offering insights into the core concept of time reversal symmetry and its significance in modern physics. This review work will provide an overview of the NOPTREX experiment’s setup, findings, and its exploration of TRV in neutral meson decays under conditions devoid of magnetic fields, meticulously examining the outcomes and past, present and future of the NOPTREX experiment.

在这个宇宙中,物质与反物质的不对称是主要的谜团之一。这种重子不对称性在现有的标准模型框架内是无法完全描述的,我们不需要超越标准物理模型,而标准物理模型的主要问题是它受到许多复杂边界的限制。为了寻找BSM,我们需要证明自然界中的CPT破坏,尽管已经观察到CP破坏,但标准模型预测的这种破坏对于描述重子不对称的大小非常小,并且对t破坏的搜索仍在进行中。中子光学宇称和时间反转实验(NOPTREX)就是这样一个实验,它正在更大范围地寻找时间反转违反(TRV)的证据。本实验专门研究在窄中子-核共振的特定条件下,中子与重核相互作用的时间反转违反,特别关注轨道角动量L = 1。这项研究包括检查透射中子波函数中的潜在相移,特别关注(S = {{sigma }_{n}}({{k}_{n}} times I))表示的项,其中({{sigma }_{n}})表示中子自旋,({{k}_{n}})表示中子动量,I表示原子核自旋。本文回顾了时间反转违逆(TRV)研究的历史演变,揭示了时间反转对称的核心概念及其在现代物理学中的意义。本综述工作将概述NOPTREX实验的设置、发现和在无磁场条件下对中性介子衰变中TRV的探索,并仔细检查NOPTREX实验的结果和过去、现在和未来。
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Physics of Particles and Nuclei
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