{"title":"Retraction Note: Advancements in Computational Techniques for Precise Solitary Wave Solutions in the (1 + 1)-Dimensional Mikhailov-Novikov-Wang Equation","authors":"Mostafa M. A. Khater","doi":"10.1007/s10773-024-05835-0","DOIUrl":"10.1007/s10773-024-05835-0","url":null,"abstract":"","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Performance of Quantum Correlations and Estimation of Gravitational State under a Joint Thermal-Bosonic Reservoir","authors":"Alam Khan Said, Muhammad Javed, Zahid Ali","doi":"10.1007/s10773-024-05838-x","DOIUrl":"10.1007/s10773-024-05838-x","url":null,"abstract":"<div><p>We address the dynamics of quantum correlations in a two-qubit gravitational cat state when initially prepared as thermal state. The initial thermal gravcat state is allowed to couple with a bosonic reservoir driven by Ohmic type noise. The resourcefulness of the gravcat system is then examined using various quantum correlation functions, namely, steerability, and Bell non-locality. In addition, the interplay of entropy is significant in open quantum systems, therefore, the entropy generation is discussed in relation to quantum correlations dynamics. We find that gravitational state resourceful but limited to certain conditions. For example for the increase in gravitational strength, quantum correlations decay rapidly, and entropy is generated in the system. Besides, increasing the excited-ground state separation enhances steerability but reduces Bell non-locality. The higher temperature limit is found weakening quantum correlations. Ohmic noise cut-off frequency also diminishes quantum correlations and support entropy generation in the gravcat state. In comparison, the Steerability is found more strengthen quantum correlations than Bell non-locality, while both these functions have opposite relation with entropy in the system. Finally, we also provide the detail estimation of the inclusive parameters using quantum Fisher information approach.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142694772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Frozen Quantum Coherence in Qutrit System","authors":"Sanuja D, Mohanty, Biswajit Pradhan","doi":"10.1007/s10773-024-05832-3","DOIUrl":"10.1007/s10773-024-05832-3","url":null,"abstract":"<div><p>There exist quantum states for which the specific measure of quantum coherence remain unaffected by noise. In case of single qubit, subjected to Markovian bit-flip and bit+phase-flip noise, the <span>(l_1)</span> norm of coherence is found to be frozen for states (<span>(n_1,0,n_3)</span>) in Bloch sphere representation. In present work, we searched for qutrit states that would show invariance of coherence in quantum channel by analyzing various cross-sections of the qutrit Bloch sphere. We found several geometric sections in state space that exhibit frozen phenomenon for quantum coherence under different noisy channels.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mustapha Anis Younes, Sofia Zebboudj, Abdelhakim Gharbi
{"title":"A Lightweight and Efficient Multiparty Semi-Quantum Secret Sharing Protocol Using Entangled States for Sharing Specific Bit","authors":"Mustapha Anis Younes, Sofia Zebboudj, Abdelhakim Gharbi","doi":"10.1007/s10773-024-05834-1","DOIUrl":"10.1007/s10773-024-05834-1","url":null,"abstract":"<div><p>Recently, Younes et al. \u0000(2024) proposed an efficient multi-party semi-quantum secret sharing (SQSS) scheme that generalizes Tian et al.’s three-party protocol (Tian et al. Quantum Inf. Process. <b>20</b>(6), 2021) to accommodate multiple participants. This scheme retains the original advantages, such as high qubit efficiency and allowing the secret dealer, Alice, to control the message content. However, (He et al. Quantum Inf. Process <b>23</b>(2), 2024) identified a vulnerability in Tian et al.’s protocol to the double CNOT attack (DCNA), which also affects the generalized scheme. In response, He et al. proposed an improved protocol to address this issue. Despite these improvements, their protocol is limited to two participants and remains a primarily two-way communication scheme, which does not fully prevent the Trojan horse attack without expensive quantum devices such as photon number splitters (PNS) and wavelength filters (WF). To address these issues, this paper develops a novel multi-party SQSS scheme using the quantum property between Bell states and the Hadamard operation to detect eavesdroppers. This new scheme is secure against the DCNA, intercept-resend attack, and collective attack. It employs a fully one-way communication scheme, entirely preventing the Trojan horse attack without costly quantum devices, aligning with the semi-quantum environment’s original intent. This new protocol also offers better qubit efficiency and allows Alice to share specific secrets.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-Markovian Gravitational Decoherence and the Black Hole Information Paradox","authors":"Yuanxin Li","doi":"10.1007/s10773-024-05837-y","DOIUrl":"10.1007/s10773-024-05837-y","url":null,"abstract":"<div><p>An isolated system always evolves according to unitary evolution and maintain coherence. However the system inevitably interacts with the environment, information about the relative phases between the quantum states leaks into the environment and becomes delocalized (known as environment-induced decoherence). Here we consider the gravitational decoherence of a quantum system near the event horizon of a Schwarzschild black hole. We show that the gravitational decoherence is non-Markovian, which is consistent with information conservation and the unitarity of quantum mechanics. Moreover, taking the point of view that information on the collapsed matter is stored as the quantum fluctuation of the horizon, the horizon can be regarded as an “uncertain” quantum object instead of random fluctuations of gravitons. Now the Hawking radiation bath plays the role of the environment, leading to the decoherence of the horizon. Therefore, information about the location of the horizon, or equivalently information about the collapsed matter, is carried away by the Hawking radiation. We also investigate the time dependence of the entanglement entropy of the Hawking radiation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Max-Cut Linear Binary Classifier Based on Quantum Approximate Optimization Algorithm","authors":"Jiaji Wang, Yuqi Wang, Xi Li, Shiming Liu, Junda Zhuang, Chao Qin","doi":"10.1007/s10773-024-05826-1","DOIUrl":"10.1007/s10773-024-05826-1","url":null,"abstract":"<div><p>The rapid development of quantum computing has opened up entirely new possibilities for the field of machine learning. However, for the implementation of many existing quantum classification algorithms, a large number of qubits and quantum circuits with high complexity are still required. To effectively solve this problem, the Quantum Approximate Optimization Algorithm (QAOA) arises as a promising solution due to its comparative advantages. In particular, it can be realized in the case of shallow quantum circuits and a finite small number of qubits. Along these lines, in this work, a Max-Cut linear binary classifier based on QAOA (QAOA-MaxCut-LBC) was proposed. First, the data set was constructed into an undirected weighted graph, and the binary classification task was transformed into a Max-Cut problem. Then, a Variational Quantum Circuit (VQC) was built by using QAOA, and the expected value of the target Hamiltonian was transformed into a loss function. Finally, the circuit parameters were iteratively updated to make the loss function converge. The computational basis state with the maximum probability was taken as the classification result after the measurement. In the experimental study, our algorithm was validated on various datasets and compared with classical linear classifiers. Our scheme can be flexibly adjusted for the number of qubits, possessing the potential to scale to multi-classification tasks. The source code is accessible at the URL: https://github.com/Dullne/QAOA-MaxCut-LBC.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Consequences of Gödel’s Theorems on Quantum Gravity","authors":"Mir Faizal, Arshid Shabir, Aatif Kaisar Khan","doi":"10.1007/s10773-024-05818-1","DOIUrl":"10.1007/s10773-024-05818-1","url":null,"abstract":"<div><p>This study aims to provide general axioms that should hold for any theory of quantum gravity. These axioms imply that spacetime is an emergent structure, which emerges from information. This information cannot occur in spacetime, as spacetime emerges from it, and hence exists in an abstract mathematical Platonic realm. Thus, quantum gravity exists as a formal system in this Platonic realm. Gödel’s theorems apply to such formal systems, and hence they apply to quantum gravity. This limits the existence of a complete consistent theory of quantum gravity. However, we generalize the Lucas-Penrose argument and argue that a non-algorithmic understanding exists in this Platonic realm. It makes it possible to have a complete and consistent theory of quantum gravity.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sonam Mahajan, Neha Aggarwal, Madhav Kumar Singh, Aranya B. Bhattacherjee
{"title":"Quantum Effects in a Second-Order Coupled Electro-Optomechanical System with Kerr Medium","authors":"Sonam Mahajan, Neha Aggarwal, Madhav Kumar Singh, Aranya B. Bhattacherjee","doi":"10.1007/s10773-024-05828-z","DOIUrl":"10.1007/s10773-024-05828-z","url":null,"abstract":"<div><p>We propose a hybrid quantum-correlated tripartite system scheme involving an optical cavity with Kerr medium, a microwave cavity interacting via a mechanical resonator. Using a quantum Langevin equation (QLE) approach, we study the system’s steady state and stationary quantum fluctuations. The system features Kerr nonlinearity, second-order optomechanical coupling, and electro-optomechanical coupling. We examine how these nonlinearities impact normal mode splitting, entanglement, and the squeezing spectrum within the experimentally accessible parameter regime. Our results show that normal mode splitting occurs only when all nonlinearities in the system are present. We also found that these various nonlinearities influence entanglement between subsystems. Additionally, we discovered that only two specific nonlinearities-Kerr nonlinearity and second-order optomechanical coupling-affect the output field intensity and the squeezing spectrum of the light. The proposed scheme offers insight into the tripartite coherent interaction among the optical, mechanical and microwave modes, which helps to develop a quantum information processing unit.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"General Boundedness of Energy Exchange as Alternative to the Third Law of Thermodynamics","authors":"Matthias Heidrich","doi":"10.1007/s10773-024-05831-4","DOIUrl":"10.1007/s10773-024-05831-4","url":null,"abstract":"<div><p>As an alternative to the third law of thermodynamics, there has been proposed the principle of the boundedness of energy exchange between thermodynamic systems whose composite constitutes an isolated system (Heidrich, Ann. Phys. <b>373</b>, 665, 2016). In this paper it is argued that the boundedness of energy exchange is a more general principle that is not restricted to systems whose composite is isolated. This leads to a simpler and more general alternative to the third law. The point of view is the phenomenological, macroscopic, and non-statistical one of classical thermodynamics. This paper is a sequel to the paper (Heidrich, Ann. Phys. <b>373</b>, 665, 2016).</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Muhammad Zafarullah Baber, Tahir Shahzad, Muskan Munir, Nauman Ahmed, Muhammad Waqas Yasin
{"title":"Bifurcation, Chaotic Behavior and Effects of Noise on the Solitons for the Stochastic Jaulent-Miodek Hierarchy Model","authors":"Muhammad Zafarullah Baber, Tahir Shahzad, Muskan Munir, Nauman Ahmed, Muhammad Waqas Yasin","doi":"10.1007/s10773-024-05820-7","DOIUrl":"10.1007/s10773-024-05820-7","url":null,"abstract":"<div><p>This study presents the dynamical analysis of the stochastic Jaulent-Miodek Hierarchy (SJMH) system under the effect of noise. The energy-dependent Schrödinger potential that is included in the SJMH equation is utilized in engineering systems, optics, condensed matter physics, and fluid dynamics. Therefore, it is essential to look into this dynamic problem from a mathematical perspective while considering the influence of Brownian motion. The system undergoes a certain transformation to become a planer dynamical system, and the bifurcation is analyzed Additionally, the sensitivity visualized is observed by introducing certain periodic pressures into the model under consideration, the quasi-periodic solution for the perturbed system is numerically studied. Two-dimensional phase pictures are shown concerning the parameter of the perturbed model. The Sardar subequation approach is used to explore the closed-form invariant solution known as solitons for the stochastic Jaulent-Miodek model. The different forms of soliton solitons are constructed in the form of bright, dark, dark-bright, periodic, and another form under the noise. It is noticed that the model has periodic oscillating nonlinear waves, various soliton profiles, and kink wave profiles. Using Wolfram Mathematica, some of the newly created soliton solutions are verified by reintegrating them into the relevant system for soft computation. The different effects of noise are plotted in the form of 3D, and 2D, and their corresponding contours by choosing suitable values of parameters.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}