{"title":"Quantum Key Distribution in Multiparty Computation for Data Sorting by Entanglement","authors":"Shyam R. Sihare","doi":"10.1007/s10773-025-05944-4","DOIUrl":"10.1007/s10773-025-05944-4","url":null,"abstract":"<div><p>Multiparty computation (MPC) and quantum key distribution (QKD) offer new paradigms for secure communication within quantum environments. The paper is the first to introduce the data sorting (<span>Dsorting</span>) framework, using entanglement within multiparty quantum contexts to distribute <span>Dsorting</span>. By combining QKD protocols with MPC methodologies, the system ensures that, together with privacy-preserving <span>Dsorting</span>, secure key exchanges are guaranteed. Grover's search algorithm combined with entanglement-based QKD is used and augmented by qudit quantum states to increase security and robustness against errors. The main parts are phase encoding, quantum error correction (QEC), GHZ state preparation, and multiparty entanglement purification. Grover's oracle and privacy amplification provide quantum security for the <span>Dsorting</span> process, and quantum sorting (<span>Qsort</span>) simulates sorting. Experimental results demonstrate sorting accuracy of up to 98% and effective key distribution rates of up to 92%, even under quantum bit error rate (QBER) conditions. Sorting time scales logarithmically with the size of the datasescales logarithmically with the size of the dataset and party count<span>(mathcalligra{n})</span>; <span>(mathcalligra{n})</span>-party entanglement forces higher communication complexity compared to the traditional MPC. Such results justify the utility of QKD and entanglement in enabling the secure and fault-tolerant multiparty <span>Dsorting</span> while providing much value for distributed computing and secure communication at a certain computational overhead.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 10","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073698","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":"An Effective Analytical Approach to Study Heat Transfer in Porous Fin with Uniform Magnetic Field","authors":"Yogeshwari F. Patel, Mohammad Izadi, Ashish Rayal","doi":"10.1007/s10773-025-06119-x","DOIUrl":"10.1007/s10773-025-06119-x","url":null,"abstract":"<div><p>The objective of the manuscript is to propose a robust analytical method for evaluating the thermal performance of porous fins subjected to a uniform magnetic a problem characterized by strong nonlinearities. In this study, we propose a Differential Transform Method (DTM) that transforms highly nonlinear governing equations into a solvable system of algebraic equations, thereby overcoming the limitations of conventional numerical approaches. A significant novelty of the method is its ability to provide both analytical insight and computational efficiency, making it an ideal alternative for solving complex heat transfer problems. Thorough analysis is conducted on the thermal characteristics of the fin in relation to critical physical parameters, such as the modified Rayleigh number, radiation-conduction parameter, convection parameter, and Hartmann number. The proposed method’s reliability and accuracy are demonstrated through validation against existing numerical and analytical solutions. A MATLAB-based technique is also provided to facilitate real-world implementations. For the accurate and effective thermal design of extended surfaces in sophisticated engineering systems, this framework offers a new tool.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037151","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":"Planck Scale from Vibrating Proto-Particles of a Dynamic Quantum Vacuum","authors":"Davide Fiscaletti","doi":"10.1007/s10773-025-06122-2","DOIUrl":"10.1007/s10773-025-06122-2","url":null,"abstract":"<div><p>A derivation of Planck scale and its link with the existence of a minimal length are explored in the context of a model of a dynamic quantum vacuum defined by elementary proto-particles associated to elementary energy fluctuations. The emergent nature of Planck scale is investigated and a new re-reading of the existence of a minimal length is provided in the picture of a generalized Compton wavelength intended as universal scale that determines the activity of the lattice of proto-particles of the vacuum and generates the actualization of black holes or elementary particles when opportune constraints are satisfied. Then, perspectives about the link with other current emergent approaches of the Planck scale are analyzed. In particular, the connection of the emergence of the Planck scale with the spontaneous symmetry breaking of a fundamental gauge symmetry of a pre-geometry from <span>(:SO(1,:4))</span> to <span>(:SO(1,:3))</span> is analyzed in terms of the activity of the fundamental lattice of proto-particles of the dynamic quantum vacuum at the generalized Compton wavelength. Finally, some considerations about the emergence of the cosmological constant and the existence of black hole remnants in this framework are investigated.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037526","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":"Uncertainty Relations for Unified ((alpha),(beta))-relative Entropy of Coherence Under Mutually Unbiased Equiangular Tight Frames","authors":"Baolong Cheng, Zhaoqi Wu","doi":"10.1007/s10773-025-06135-x","DOIUrl":"10.1007/s10773-025-06135-x","url":null,"abstract":"<div><p>Uncertainty relations based on quantum coherence is an important problem in quantum information science. We discuss uncertainty relations for averaged unified (<span>(alpha)</span>,<span>(beta)</span>)-relative entropy of coherence under mutually unbiased equiangular tight frames, and derive an interesting result for different parameters. As consequences, we obtain corresponding results under mutually unbiased bases, equiangular tight frames or based on Tsallis <span>(alpha)</span>-relative entropies and Rényi<span>(alpha)</span>-relative entropies. We illustrate the derived inequalities by explicit examples in two dimensional spaces, showing that the lower bounds can be regarded as good approximations to averaged coherence quantifiers under certain circumstances.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037507","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":"Two Parameter Deformed Dirac Oscillator in 3-Minkowski Space-time","authors":"Furkan Semih Dündar, Ali Serdar Arıkan","doi":"10.1007/s10773-025-06140-0","DOIUrl":"10.1007/s10773-025-06140-0","url":null,"abstract":"<div><p>The study concerns two-parameter deformed Dirac oscillator in 3-Minkowski space-time. We provide analytical results for energy spectrum and energy eigenvectors. Using the inverse eigenvalue problem, potential functions for non-relativistic quantum mechanics in order to model four examples are provided, which reproduce the first order quantum correction to energy spectrum up to a certain level. We also found out modified commutation relation between position and momentum that is induced by the <i>pq</i>-deformed algebra of creation and annihilation operators and commented on a possible application to model minimum length models in quantum gravity. Finally we also comment on an application area in the context of quantum computing via possible relation of our model to the two parameter deformed Jaynes-Cummings model.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037508","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":"Magnon Squeezing and Entanglement in a Dual Cavity-Magnon System","authors":"Noureddine Benrass, Abdelkader Hidki, Jamila Hmouch, Abderrahim Lakhfif, Nabil Habiballah","doi":"10.1007/s10773-025-06137-9","DOIUrl":"10.1007/s10773-025-06137-9","url":null,"abstract":"<div><p>We theoretically investigate the squeezing and entanglement properties of two spatially separated magnon modes in a dual-cavity system. Each cavity contains a microwave (MW) field mode coupled to the magnon mode of a yttrium iron garnet (YIG) sphere. The cavities are coupled to each other and driven by a two-mode squeezed vacuum MW field, which facilitates the transfer of quantum correlations to the magnon modes. Our results show that the magnon modes exhibit squeezing, with the degree of squeezing depending on the intensity of the injected squeezed field. Using the Hillery-Zubairy criterion, we quantify the entanglement between magnons, revealing that stronger cavity-magnon coupling enhances their entanglement. Notably, the squeezed field significantly enhances magnon-magnon entanglement, highlighting its crucial role in mediating and controlling non-classical correlations in the hybrid system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037525","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":"Quantum Teleportation of an Arbitrary Unknown Two-qubit State via Arbitrary High-dimensional Entangled States","authors":"Huang-rui Lei, Jian-gang Tang, Jia-yin Peng","doi":"10.1007/s10773-025-06133-z","DOIUrl":"10.1007/s10773-025-06133-z","url":null,"abstract":"<div><p>The purpose of this paper is to explore how to teleport a low-dimensional (two-dimensional) arbitrary unknown two-qubit entangled state through the high-dimensional entangled states constituting the quantum channel. Firstly, we propose a scheme for teleporting an arbitrary unknown two-qubit entangled state via two three-dimensional maximally entangled two-qutrit states as the quantum channel. In this scheme, the sender performs two non-symmetric basis measurements on his own particles, and the receiver must make relevant unitary operation against the sender’s different measurement results to recover the original unknown state. Then, the above maximally entangled quantum channel is replaced by two high-dimensional non-maximally entangled two-particle states, the arbitrary unknown two-qubit state is teleported in such a way that it can be probabilistically reconstructed through introducing auxiliary qubit and performing appropriate operations. We give the success probability of the schemes, and the analysis shows that the scheme based on non-maximally entangled channel is a generalization of the previous scheme. Furthermore, the above schemes can be directly generalized to the case of two arbitrary high-dimensional entangled two-particle states acting as the quantum channel.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145021700","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":"Quintessence Dark Energy Model in Non-linear f(Q) Theory with Bulk-viscosity","authors":"Dinesh Chandra Maurya","doi":"10.1007/s10773-025-06106-2","DOIUrl":"10.1007/s10773-025-06106-2","url":null,"abstract":"<div><p>In this study, we investigate a locally rotationally symmetric (LRS) Bianchi type-I cosmological model in non-linear form of <i>f</i>(<i>Q</i>) gravity with observational constraints. We solved the modified Einstein’s field equations with a viscous fluid source and got a hyperbolic solution. First, we apply MCMC analysis to the cosmic chronometer (CC), Baryon Acoustic Oscillation (BAO) and Pantheon datasets to place observational constraints on the model parameters. Using constrained values of model parameters, we study the behavior of cosmological parameters, such as the Hubble parameter <i>H</i>, the deceleration parameter <i>q</i>, and the equation of state (EoS) parameter <span>(omega _{v})</span> with the skewness parameter <span>(delta _{v})</span> for the viscous fluid. In addition, we perform the Om diagnostics and statefinder analysis to categorize dark energy models. Also, we studied cosmographic series coefficients to explore the whole evolution of the derived universe model. We estimated the current age of the universe as <span>(t_{0}approx 13.8)</span> Gyrs. We obtained a quintessential and ever-accelerating model with bulk viscosity fluid.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011919","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":"Interference and Bell States in q-Deformed Quantum Oscillator a Wigner Function Perspective","authors":"Efe Türbedar, Ferhat Nutku","doi":"10.1007/s10773-025-06126-y","DOIUrl":"10.1007/s10773-025-06126-y","url":null,"abstract":"<div><p>In this paper, we investigate the interference and Bell states of a q-deformed harmonic oscillator. The Wigner functions of the interference states and the four Bell states are calculated and discussed.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145007827","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}
B. T. Abdulazizov, P. J. Baymatov, O. M. Yunusov, Kh. N. Juraev, M. S. Tokhirjonov
{"title":"Internal Energy and Heat Capacity of a Two-Dimensional Electron Gas in a Half-Filled Landau Subband","authors":"B. T. Abdulazizov, P. J. Baymatov, O. M. Yunusov, Kh. N. Juraev, M. S. Tokhirjonov","doi":"10.1007/s10773-025-06115-1","DOIUrl":"10.1007/s10773-025-06115-1","url":null,"abstract":"<div><p>The internal energy and heat capacity of a two-dimensional electron gas in a half-filled Landau subband for a Gaussian distribution of the density of states are studied by analytical and numerical methods. Within the limits of low <span>(:{k}_{B}T<<{Gamma:})</span> and high <span>(:{k}_{B}T>>{Gamma:})</span> temperatures, analytical formulas for internal energy and heat capacity were found. The reason for the appearance of a peak in the temperature dependences of heat capacity is discussed. It is shown that in the region of <span>(:{k}_{B}Tge:{Gamma:})</span>, saturation of the internal energy of the electron gas is observed due to the narrowness of the subband width. The analytical results are graphically compared with the numerical data.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929381","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}