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Verifiable quantum secret sharing scheme based on orthogonal product states

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Chinese physics B 2024年第7期33卷 178-187页

作者：白晨明刘璐张素娟 department of mathematics and {2. Shijiazhuang Tiedao UniversityShijiazhuang 050043China

In the domain of quantum cryptography,the implementation of quantum secret sharing stands as a pivotal *** this paper,we propose a novel verifiable quantum secret sharing protocol using the d-dimensional product state and Lagrange interpolation *** protocol is initiated by the dealer Alice,who initially prepares a quantum product state,selected from a predefined set of orthogonal product states within the C~d■C~d ***,the participants execute unitary operations on this product state to recover the underlying ***,we subject the protocol to a rigorous security analysis,considering both eavesdropping attacks and potential dishonesty from the ***,we conduct a comparative analysis of our protocol against existing *** scheme exhibits economies of scale by exclusively employing quantum product states,thereby realizing significant cost-efficiency *** terms of access structure,we adopt a(t, n)-threshold architecture,a strategic choice that augments the protocol's practicality and suitability for diverse ***,our protocol includes a rigorous integrity verification mechanism to ensure the honesty and reliability of the participants throughout the execution of the protocol.

关键词： quantum secret sharing quantum product state threshold scheme unitary operations

Nonlocal symmetries,soliton-cnoidal wave solution and soliton molecules to a(2.1)-dimensional modified KdV system

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Communications in Theoretical physics 2024年第4期76卷 14-21页

作者： Jianyong Wang Bo Ren department of mathematics and {2. Quzhou UniversityQuzhou 324000China department of mathematics Zhejiang University of TechnologyHangzhou 310014China

A(2.1)-dimensional modified KdV(2.mKdV)system is considered from several ***,residue symmetry,a type of nonlocal symmetry,and the Bäcklund transformation are obtained via the truncated Painlevéexpansion ***,the residue symmetry is localized to a Lie point symmetry of a prolonged system,from which the finite transformation group is ***,the integrability of the 2.mKdV system is examined under the sense of consistent tanh expansion ***,explicit soliton-cnoidal wave solutions are ***,abundant patterns of soliton molecules are presented by imposing the velocity resonance condition on the multiple-soliton solution.

关键词： soliton-cnoidal wave solution nonlocal symmetry soliton molecule (2.1)-dimensional modified KdV system

Non-thermal atmospheric-pressure positive pulsating corona discharge in degradation of textile dye Reactive Blue 19 enhanced by Bi_(2.O_(3) catalyst

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Plasma Science and Technology 2024年第2期26卷 104-113页

作者： Milica PETROVIC Dragan RADIVOJEVIC Sasa RANCEV Nena VELINOV Milos KOSTIC Danijela BOJIC Aleksandar BOJIC department of Chemistry Faculty of Sciences and MathematicsUniversity of NisNis 18000Serbia department of physics Faculty of Sciences and MathematicsUniversity of NisNis 18000Serbia

In this work,monoclinic Bi_(2.O_(3) was applied for the first time,to the best of our knowledge,as a catalyst in the process of dye degradation by a non-thermal atmospheric-pressure positive pulsating corona *** research focused on the interaction of the plasma-generated species and the catalyst,as well as the role of the catalyst in the degradation *** decomposition of the anthraquinone reactive dye Reactive Blue 19(RB 19) was performed in a selfmade reactor ***_(2.O_(3) was prepared by electrodeposition followed by thermal treatment,and characterized by x-ray diffraction,scanning electron microscopy and energy-dispersive xray *** was observed that the catalyst promoted decomposition of plasma-generated H_(2.O_(2. into ·OH radicals,the principal dye-degrading reagent,which further attacked the dye *** catalyst improved the decolorization rate by 2.5 times,the energy yield by 93.4%and total organic carbon removal by 7.1%.Excitation of the catalyst mostly occurred through strikes by plasma-generated reactive ions and radical species from the air,accelerated by the electric field,as well as by fast electrons with an energy of up to 15 eV generated by the streamers reaching the liquid *** strikes transferred the energy to the catalyst and created the electrons and holes,which further reacted with H_(2.O_(2. and water,producing ·OH *** was indentified as the primary role of the catalyst in this *** reactions followed pseudo first-order *** of H_(2.O_(2. and the dye degradation rate increased with increase in the input *** optimal catalyst dose was 500 mg·dm^(-3).The decolorization rate was a little lower in river water compared with that in deionized water due to the side reactions of ·OH radicals with organic matter and inorganic ions dissolved in the river water.

关键词： corona RB 19 Bi_(2.O_(3) catalyst degradation

QUASIPERIODICITY OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS

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Acta Mathematica Scientia 2024年第1期44卷 161-172页

作者：刘新玲刘凯 Risto KORHONEN Galina FILIPUK department of mathematics Nanchang UniversityNanchang330031China department of physics and {2. University of Eastern FinlandP.O.Box 11180101JoensuuFinland Institute of mathematics Faculty of MathematicsInformatics and MechanicsUniversity of WarsawBanacha 202-097WarsawPoland

This paper is devoted to considering the quasiperiodicity of complex differential polynomials,complex difference polynomials and complex delay-differential polynomials of certain types,and to studying the similarities... 详细信息

关键词： quasiperiodicity meromorphic functions complex delay-differential polynomials Nevanlinna theory

Room-temperature nitrogen-rich niobium nitride photodetector for terahertz detection

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Optoelectronics Letters 2024年第11期20卷 641-646页

作者： LU Xuehui LIU Binding CHI Chengzhu LIU Feng SHI Wangzhou department of physics Mathematics & Science College Shanghai Normal University

A sensitive room-temperature metal-semiconductor-metal(MSM) structure is fabricated on high-resistivity silicon substrates(ρ>4 000 Ω·cm) for terahertz(THz) detection by utilizing the photoconductive effect.

关键词： A

Dynamics of fundamental and double-pole breathers and solitons for a nonlinear Schr¨odinger equation with sextic operator under non-zero boundary conditions

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Chinese physics B 2024年第9期33卷 268-280页

作者： Luyao Zhang Xiyang Xie department of mathematics and {2. Hebei Key Laboratory of Physics and Energy TechnologyNorth China Electric Power UniversityBaoding 071003China

We study the dynamics of fundamental and double-pole breathers and solitons for the focusing and defocusing nonlinearSchr¨odinger equation with the sextic operator under non-zero boundary conditions. Our analysis mainly focuses onthe dynamical properties of simple- and double-pole solutions. Firstly, through verification, we find that solutions undernon-zero boundary conditions can be transformed into solutions under zero boundary conditions, whether in simple-pole ordouble-pole cases. For the focusing case, in the investigation of simple-pole solutions, temporal periodic breather and thespatial-temporal periodic breather are obtained by modulating parameters. Additionally, in the case of multi-pole solitons,we analyze parallel-state solitons, bound-state solitons, and intersecting solitons, providing a brief analysis of their *** the double-pole case, we observe that the two solitons undergo two interactions, resulting in a distinctive “triangle”crest. Furthermore, for the defocusing case, we briefly consider two situations of simple-pole solutions, obtaining one andtwo dark solitons.

关键词： double-pole solitons double-pole breathers Riemann–Hilbert problem non-zero boundary conditions nonlinear Schr¨odinger equation with sextic operator

Multi-soliton solutions of coupled Lakshmanan-Porsezian-Daniel equations with variable coefficients under nonzero boundary conditions

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Chinese physics B 2024年第8期33卷 137-152页

作者：赵会超马雷诺解西阳 department of mathematics and {2. and Hebei Key Laboratory of Physics and Energy TechnologyNorth China Electric Power UniversityBaoding 071003China

This paper aims to investigate the multi-soliton solutions of the coupled Lakshmanan–Porsezian–Daniel equations with variable coefficients under nonzero boundary *** equations are utilized to model the phenomenon of nonlinear waves propagating simultaneously in non-uniform optical *** analyzing the Lax pair and the Riemann–Hilbert problem,we aim to provide a comprehensive understanding of the dynamics and interactions of solitons of this ***,we study the impacts of group velocity dispersion or the fourth-order dispersion on soliton *** appropriate parameter selections,we observe various nonlinear phenomena,including the disappearance of solitons after interaction and their transformation into breather-like solitons,as well as the propagation of breathers with variable periodicity and interactions between solitons with variable periodicities.

关键词： soliton Riemann-Hilbert problem non-zero boundary conditions coupled Lakshmanan-Porsezian-Daniel equation

Test of the Brans-Dicke theory with GW2.0105 and GW2.0115

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Communications in Theoretical physics 2024年第7期76卷 83-93页

作者： Qin Fei Yingjie Yang department of mathematics and {2. School of Biomedical EngineeringSouthern Medical UniversityGuangzhou 510515China School of mathematics and physics Hubei Polytechnic UniversityHuangshi 435003China

We study whether it is possible to constrain the Brans-Dicke(BD)theory from the measurement of gravitational waves(GW)released in neutron star-black hole *** the scalar field modifications through monopole and dipole radiations,we find additional contributions to the phase evolution in the emitted gravitational *** effectively calculating such effect in the post-Newtonian order,we are in a position to measure the scalar field and give bounds on the BD coupling parameterω_(BD).We derive the analytical expression for the phase modification due to the orbital eccentricity of eccentric binaries in both general relativity and BD *** the Bayesian analysis,we obtain the constraints on ω_(BD) from the GW events,GW2.0105 and GW2.0115.

关键词： cosmology Brans-Dicke theory gravitational wave

Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 45-74页

作者： Ya-zhou Chen Hakho Hong Xiao-ding Shi department of mathematics College of Mathematics and PhysicsBeijing University of Chemical TechnologyBeijing100029China Institute of mathematics State Academy of SciencesPyongyangKorea

This paper is concerned with the large time behavior of the Cauchy problem for Navier-Stokes/AllenCahn system describing the interface motion of immiscible two-phase flow in 3-D. The existence and uniqueness of global solutions and the stability of the phase separation state are proved under the small initial perturbations. Moreover, the optimal time decay rates are obtained for higher-order spatial derivatives of density,velocity and phase. Our results imply that if the immiscible two-phase flow is initially located near the phase separation state, then under small perturbation conditions, the solution exists globally and decays algebraically to the complete separation state of the two-phase flow, that is, there will be no interface fracture, vacuum, shock wave, mass concentration at any time, and the interface thickness tends to zero as the time t → +∞.

关键词： Navier-Stokes/Allen-Cahn system existence uniqueness large time behavior decay rate