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Recurrent neural network decoding of rotated surface codes based on distributed strategy
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作者 李帆 李熬庆 +1 位作者 甘启迪 马鸿洋 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期322-330,共9页
Quantum error correction is a crucial technology for realizing quantum computers.These computers achieve faulttolerant quantum computing by detecting and correcting errors using decoding algorithms.Quantum error corre... Quantum error correction is a crucial technology for realizing quantum computers.These computers achieve faulttolerant quantum computing by detecting and correcting errors using decoding algorithms.Quantum error correction using neural network-based machine learning methods is a promising approach that is adapted to physical systems without the need to build noise models.In this paper,we use a distributed decoding strategy,which effectively alleviates the problem of exponential growth of the training set required for neural networks as the code distance of quantum error-correcting codes increases.Our decoding algorithm is based on renormalization group decoding and recurrent neural network decoder.The recurrent neural network is trained through the ResNet architecture to improve its decoding accuracy.Then we test the decoding performance of our distributed strategy decoder,recurrent neural network decoder,and the classic minimum weight perfect matching(MWPM)decoder for rotated surface codes with different code distances under the circuit noise model,the thresholds of these three decoders are about 0.0052,0.0051,and 0.0049,respectively.Our results demonstrate that the distributed strategy decoder outperforms the other two decoders,achieving approximately a 5%improvement in decoding efficiency compared to the MWPM decoder and approximately a 2%improvement compared to the recurrent neural network decoder. 展开更多
关键词 quantum error correction rotated surface code recurrent neural network distributed strategy
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PIC simulation study of electron gun with rotational surface cathode
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作者 Weihao LIU Shenggang LIU 《Frontiers of Electrical and Electronic Engineering in China》 CSCD 2011年第4期556-562,共7页
The electron gun with rotational surface cathode is presented to improve the laminarity of the converging electron beams in this paper,and the function expression of the rotational surfaces is given.The results of par... The electron gun with rotational surface cathode is presented to improve the laminarity of the converging electron beams in this paper,and the function expression of the rotational surfaces is given.The results of particle in cell(PIC)simulation indicate that anode-hole spherical aberration is the major cause for the nonlaminarity of the electron beams.By properly choosing the size of the shape,rotational surface cathode can effectively counteract the effect of the anode-hole spherical aberration and enhance the laminarity of the electron beams.The theoretical analysis was carried out for the explanation of the phenomenon that appeared in the PIC simulation. 展开更多
关键词 rotational surface cathode laminarity anodehole spherical aberration
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On Quadratric Rotational Curved Surface
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作者 马国强 朱振兴 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期77-82,共6页
In this paper,a deterministic theorem is proposed for quadratic rotational curved surface.The relationship between invariants for quadratic rotational curved surface is established.In addition we give each type of equ... In this paper,a deterministic theorem is proposed for quadratic rotational curved surface.The relationship between invariants for quadratic rotational curved surface is established.In addition we give each type of equitions for rotational curved surface using the invariant. 展开更多
关键词 rotational ellipsoidal surface of revolution HYPERBOLOID parabolic surface
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NON-CONTACT MEASUREMENT OF SCULPTURED SURFACE OF ROTATION 被引量:5
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作者 ZhangGuoxiong LiuShugui QiuZurong YuFusheng NaYonglin LengChanglin 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2004年第4期571-574,共4页
A method for measuring the sculptured surface of rotation by using coordinatemeasuring machine (CMM) and rotary table is proposed. The measurement is realized during thecontinuous rotation of the workpiece mounted on ... A method for measuring the sculptured surface of rotation by using coordinatemeasuring machine (CMM) and rotary table is proposed. The measurement is realized during thecontinuous rotation of the workpiece mounted on the rotary table while the probe moves along thegeneratrix of the surface step by step. This method possesses lots of advantages such as simplicityof probe motion, high reliability and efficiency. Some key techniques including calibration of theeffective radius of the probing system, determination of the position of axis of rotation,auto-centering of the workpiece, data processing algorithm, are discussed. Approaches fordetermining the coordinates on measured surface, establishing workpiece coordinate system andsurface fitting are presented in detail. The method can be used with contact or non-contact probes.Some fragile ceramic and plaster parts are measured by using the system consisting of a CMM, rotarytable, motorized head and non-contact laser triangulation probe. The measuring uncertainty is about0.02 mm which meets the general requirement in most cases. 展开更多
关键词 Measurement Sculptured surface Body of rotation Triangulation probe CALIBRATION Auto-centering surface fitting
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Schrdinger Equation of a Particle on a Rotating Curved Surface
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作者 杜龙 王永龙 +2 位作者 梁国华 康广振 宗红石 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第3期1-4,共4页
We derive the Schr6dinger equation of a particle constrained to move on a rotating curved surface S. Using the thin-layer quantization scheme to confine the particle on S, and with a proper choice of gauge transformat... We derive the Schr6dinger equation of a particle constrained to move on a rotating curved surface S. Using the thin-layer quantization scheme to confine the particle on S, and with a proper choice of gauge transformation for the wave function, we obtain the well-known geometric potentiM Vg and an additive Coriolis-induced geometric potential in the co-rotationM curvilinear coordinates. This novel effective potential, which is included in the surface Schr6dinger equation and is coupled with the mean curvature of S, contains an imaginary part in the general case which gives rise to a non-Hermitian surface Hamiltonian. We find that the non-Hermitian term vanishes when S is a minimal surface or a revolution surface which is axially symmetric around the rolling axis. 展开更多
关键词 in of SCHR dinger Equation of a Particle on a Rotating Curved surface on IS
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Dynamics of a Rotating Sphere on Free Surface of Vibrated Granular Materials
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作者 Adones B.Dengal Joel T.Maquiling 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第8期44-48,共5页
We investigate the rotational dynamics of a low-density sphere on the free surface of a vertically vibrated granular material(VGM). The dynamical behavior of the sphere is influenced by the external energy input fro... We investigate the rotational dynamics of a low-density sphere on the free surface of a vertically vibrated granular material(VGM). The dynamical behavior of the sphere is influenced by the external energy input from an electromagnetic shaker which is proportional to ε,where ε is equal to the ratio between the square of the dimensionless acceleration Γ and the square of the vibration frequency f of the container. Empirical results reveal that as the VGM transits from local-to-global convection,an increase in ε generally corresponds to an increase in the magnitudes of the rotational ω(RS) and translational v(CM) velocities of the sphere, an increase in the observed tilting angle θ(bed) of the VGM bed, and a decrease in the time t(wall) it takes the sphere to roll down the tilted VGM bed and hit the container wall. During unstable convection, an increase in ε results in a sharp decrease in the sphere's peak and mean ω(RS),and a slight increase in t(wall).For the range of ε values covered in this study, the sphere may execute persistent rotation, wobbling or jamming, depending on the vibration parameters and the resulting convective flow in the system. 展开更多
关键词 Dynamics of a Rotating Sphere on Free surface of Vibrated Granular Materials
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Reiner-Rivlin nanomaterial heat transfer over a rotating disk with distinct heat source and multiple slip effects
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作者 A.S.SABU J.MACKOLIL +1 位作者 B.MAHANTHESH A.MATHEW 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2021年第10期1495-1510,共16页
The thermodynamic features of the Reiner-Rivlin nanoliquid flow induced by a spinning disk are analyzed numerically.The non-homogeneous two-phase nanofluid model is considered to analyze the effect of nanoparticles on... The thermodynamic features of the Reiner-Rivlin nanoliquid flow induced by a spinning disk are analyzed numerically.The non-homogeneous two-phase nanofluid model is considered to analyze the effect of nanoparticles on the thermodynamics of the Reiner-Rivlin nanomaterial,which also includes a temperature-dependent heat source(THS)and an exponential space-dependent heat source(ESHS).Further,the transfer of heat and mass is analyzed with velocity slip,volume fraction jump,and temperature jump boundary conditions.The finite difference method-based routine is used to solve the complicated differential equations formed after using the von-Karman similarity technique.Limiting cases of the present problem are found to be in good agreement with benchmarking studies.The relationship of the pertinent parameters with the heat and mass transport is scrutinized using correlation,which is further evaluated based on the probable error estimates.Multivariable models are fitted for the friction factor at the disk and heat transport,which accurately predict the dependent variables.The Reiner-Rivlin nanoliquid temperature is influenced comparatively more by the ESHS than by THS.The Nusselt number is decreased by the ESHS and THS,whereas the friction factor at the disk is predominantly decremented by the wall roughness aspect.The increment in the non-Newtonian characteristic of the liquid leads more fluid to drain away in the radial direction far from the disk compared with the fluid nearby the disk in the presence of the centrifugal force during rotation.The increased thermal and volume fraction slip lowers the nanoliquid temperature and nanoparticle volume fraction profiles. 展开更多
关键词 rotating surface Reiner-Rivlin fluid NANOMATERIAL exponential space-based heat source multiple slip effect regression analysis
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Rotational character of sound intensity and surface sound intensity
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作者 JIANG Zhe and GUO Hua(Jiangsu Institute of Technology) 《Chinese Journal of Acoustics》 1991年第4期296-304,共9页
By using the concept of complex sound intensity, the rotational character of the active sound intensity which is the real component of the complex sound intensity is descussed in this paper. It is shown that it is the... By using the concept of complex sound intensity, the rotational character of the active sound intensity which is the real component of the complex sound intensity is descussed in this paper. It is shown that it is the irrotational component of the active sound intensity that transfers sound energy in sound field. When sound power is measured with the two- microphone technique, the rotation of the active sound intensity has an effect on it. Because the irrotational component of the active sound intensity depends only on the surface sound intensity, measuring the surface sound intensity can avoid the effect of the rotation. Based on atuo- power spectra, formulas about the surface sound intensity are given in this paper, providing a theoretical basis for measuring the surface sound intensity. 展开更多
关键词 rotational character of sound intensity and surface sound intensity
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A spin-less particle on a rotating curved surface in Minkowski space
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作者 Run Cheng Li Wang +3 位作者 Hao Zhao Cui-Bai Luo Yong-Long Wang Jun Wang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第12期58-68,共11页
In Minkowski space M,we derive the effective Schrodinger equation describing a spin-less particle confined to a rotating curved surface S.Using the thin-layer quantization formalism to constrain the particle on we obt... In Minkowski space M,we derive the effective Schrodinger equation describing a spin-less particle confined to a rotating curved surface S.Using the thin-layer quantization formalism to constrain the particle on we obtain the relativity-corrected geometric potential V_(g)’,and a novel effective potential V(g) related to both the Gaussian curvature and the geodesic curvature of the rotating surface.The Coriolis effect and the centrifugal potential also appear in the equation.Subsequently,we apply the surface Schrodinger equation to a rotating cylinder,sphere and toms surfaces,in which we find that the interplays between the rotation and surface geometry can contribute to the energy spectrum based on the potentials they offer. 展开更多
关键词 rotating curved surface Minkowski space surface Schrodinger equation CURVATURE
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A Kind of Weingarten Surfaces in E^3 with Prescribed Principal Curvatures
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作者 Zhong Hua HOU Cai Ling KONG 《Journal of Mathematical Research and Exposition》 CSCD 2010年第4期619-627,共9页
In this paper, we construct a kind of Weingarten surfaces in E3 and study its geometric properties. We first derive an explicit diffierential relationship between the principal curvatures of them. Then we prove an exi... In this paper, we construct a kind of Weingarten surfaces in E3 and study its geometric properties. We first derive an explicit diffierential relationship between the principal curvatures of them. Then we prove an existence theorem of this kind of surfaces with prescribed principal curvatures. At last, we present two examples involving the rotation surfaces as the special case, and present several figures to the second example. 展开更多
关键词 the principal curvatures the Weingarten surfaces the rotation surfaces.
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