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This work investigates the accuracy and numerical stability of CUR decompositions with oversampling. The CUR decomposition approximates a matrix using a subset of columns and rows of the matrix. When the number of columns and the rows are…

数值分析 · 数学 2025-04-01 Taejun Park , Yuji Nakatsukasa

We show how phase and amplitude estimation algorithms can be parallelized. This can reduce the gate depth of the quantum circuits to that of a single Grover operator with a small overhead. Further, we show that for quantum amplitude…

量子物理 · 物理学 2022-12-19 M. C. Braun , T. Decker , N. Hegemann , S. F. Kerstan

We consider an overdetermined problem arising in potential theory for the capacitary potential and we prove a radial symmetry result.

偏微分方程分析 · 数学 2016-01-12 Giulio Ciraolo , Chiara Bianchini

A new sampling methodology based on incomplete cosine expansion series is presented as an alternative to the traditional sinc function approach. Numerical integration shows that this methodology is efficient and practical. Applying the…

数值分析 · 数学 2015-03-24 S. M. Abrarov , B. M. Quine

Quantum dot (QD) lay-outs are becoming more complex as the technology is being applied to more complex multi-QD structures. This increase in complexity requires improved capacitance modeling both for design and accurate interpretation of QD…

The non-dissipative quasistatic longitudinal optical response of insulators is characterized by an intrinsic geometric capacitance, determined by the ratio of the quantum metric to the energy gap, as recently stablished. We study the…

介观与纳米尺度物理 · 物理学 2025-05-06 Yahir Fernández-Méndez , Ramón Carrillo-Bastos , Jesús A. Maytorena

The capacitance of arbitrarily shaped objects is reformulated in terms of the Neumann-Poincar\'{e} operator. Capacitance is simply the dielectric permittivity of the surrounding medium multiplied by the area of the object and divided by the…

介观与纳米尺度物理 · 物理学 2013-04-25 Titus Sandu , George Boldeiu , Victor Moagar-Poladian

We accelerated an {\it ab-initio} QMC electronic structure calculation by using GPGPU. The bottleneck of the calculation for extended solid systems is replaced by CUDA-GPGPU subroutine kernels which build up spline basis set expansions of…

计算物理 · 物理学 2012-08-20 Yutaka Uejima , Ryo Maezono

Total capacitance of a dielectric filled circular disc configuration (radius r and separation d) has been numerically evaluated over relative permittivities ranging from 1 to 80 and aspect ratios ranging from 0.001 to 10. A new perspective…

经典物理 · 物理学 2017-10-11 C. V. Krishnamurthy , Gokul Raj R

In this work, we consider the possibility of energy storage enhancement in electric capacitors using the compensational method. The essence of the proposed approach is the use of inductive voltage V_ind to partially compensate the…

应用物理 · 物理学 2020-10-28 Alexander Khitun

This paper deals with the kernel-based approximation of a multivariate periodic function by interpolation at the points of an integration lattice -- a setting that, as pointed out by Zeng, Leung, Hickernell (MCQMC2004, 2006) and Zeng,…

数值分析 · 数学 2022-01-25 Vesa Kaarnioja , Yoshihito Kazashi , Frances Y. Kuo , Fabio Nobile , Ian H. Sloan

The capacitance of the charge collection node of a sensor system is an important parameter for the design of the analog front-end electronics. The analog front-end of high-granularity sensors like for example hybrid pixel detectors need to…

仪器与探测器 · 物理学 2021-03-24 H. Krüger , E. Kimmerle

The equation describing the capacitance of capacitors is determined. It is shown that by optimizing the material of the conducting electrodes, the capacitance of capacitors reaching the quantum regime can be substantially enhanced or…

材料科学 · 物理学 2015-05-13 Thilo Kopp , Jochen Mannhart

In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of…

偏微分方程分析 · 数学 2018-06-25 Antonino Morassi , Edi Rosset , Sergio Vessella

We develop a parallel algorithm that calculates the exact partition function of a lattice polymer, by enumerating the number of conformations for each energy level. An efficient parallelization of the calculation is achieved by classifying…

统计力学 · 物理学 2012-09-27 Jae Hwan Lee , Seung-Yeon Kim , Julian Lee

A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions are developed to be…

数值分析 · 数学 2020-10-02 Muaz Seydaoglu , Philipp Bader , Sergio Blanes , Fernando Casas

This paper deals with maximum entropy completion of partially specified block-circulant matrices. Since positive definite symmetric circulants happen to be covariance matrices of stationary periodic processes, in particular of stationary…

最优化与控制 · 数学 2018-04-11 Francesca P. Carli , Augusto Ferrante , Michele Pavon , Giorgio Picci

In a previous work, we developed the idea to solve Kepler's equation with a CORDIC-like algorithm, which does not require any division, but still multiplications in each iteration. Here we overcome this major shortcoming and solve Kepler's…

天体物理仪器与方法 · 物理学 2020-11-11 Mathias Zechmeister

The coherent potential approximation (CPA) is extended to describe satisfactorily the motion of particles in a random potential which is spatially correlated and smoothly varying. In contrast to existing cluster-CPA methods, the present…

无序系统与神经网络 · 物理学 2009-10-20 Roland Zimmermann , Christoph Schindler

We propose and analyze the design of a programmable photonic integrated circuit for high-fidelity quantum computation and simulation. We demonstrate that the reconfigurability of our design allows us to overcome two major impediments to…

量子物理 · 物理学 2015-09-30 Jacob Mower , Nicholas C. Harris , Gregory R. Steinbrecher , Yoav Lahini , Dirk Englund