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Continuous variable entanglement can be produced in nonlinear systems or via interference of squeezed states. In many of optical systems, such as parametric down conversion or interference of optical squeezed states, production of two…

In this paper, by introducing a class of relaxed filtered Krylov subspaces, we propose the relaxed filtered Krylov subspace method for computing the eigenvalues with the largest real parts and the corresponding eigenvectors of non-symmetric…

数值分析 · 数学 2020-11-17 Cun-Qiang Miao , Wen-Ting Wu

Peephole optimization of quantum circuits provides a method of leveraging standard circuit synthesis approaches into scalable quantum circuit optimization. One application of this technique partitions an entire circuit into a series of…

量子物理 · 物理学 2024-09-11 Joseph Clark , Himanshu Thapliyal

This paper deals with near-best approximation of a given bivariate function using elements of quarkonial tensor frames. For that purpose we apply anisotropic tensor products of the univariate B-spline quarklets introduced around 2017 by…

数值分析 · 数学 2025-04-04 Marc Hovemann

Certain optimization problems in communication systems, such as limited-feedback constant-envelope beamforming or noncoherent $M$-ary phase-shift keying ($M$PSK) sequence detection, result in the maximization of a fixed-rank positive…

信息论 · 计算机科学 2014-01-28 Anastasios Kyrillidis , George N. Karystinos

We propose an implementation of the Smooth Selection Embedding Method (SSEM) in the setting of Chebyshev polynomials. The SSEM is a hybrid fictitious domain / collocation method which solves boundary value problems in complex domains by…

数值分析 · 数学 2019-02-12 Daniel Agress , Patrick Guidotti , Dong Yan

Millimeter-wave massive multiple-input multiple-output systems employ highly directional beamforming to overcome severe path loss, and their performance critically depends on accurate beam alignment. Conventional codebook-based methods…

信号处理 · 电气工程与系统科学 2026-02-26 Weijie Jin , Jing Zhang , Hengtao He , Chao-Kai Wen , Xiao Li , Shi Jin

In this paper we propose a proximal algorithm for minimizing an objective function of two block variables consisting of three terms: 1) a smooth function, 2) a nonsmooth function which is a composition between a strictly increasing,…

最优化与控制 · 数学 2022-09-15 Maryam Yashtini

In order to solve Prandtl-type equations we propose a collocation-quadrature method based on VP filtered interpolation at Chebyshev nodes. Uniform convergence and stability are proved in a couple of Holder - Zygmund spaces of locally…

数值分析 · 数学 2020-09-04 Maria Carmela De Bonis , Donatella Occorsio , Woula Themistoclakis

Hybrid beamforming (HBF) is an attractive technology for practical massive multiple-input and multiple-output (MIMO) millimeter wave (mmWave) systems. Compared with the fully-connected HBF architecture, the partially-connected one can…

信息论 · 计算机科学 2020-10-12 Xingyu Zhao , Tian Lin , Yu Zhu , Jun Zhang

This paper presents an end-to-end design method for the synthesis of dielectric metasurfaces with modulated thickness that are able to realize desired radiation patterns in the far-field with high precision. The method relies on integral…

应用物理 · 物理学 2022-11-28 Vasileios G. Ataloglou , George V. Eleftheriades

The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for evaluating dynamic correlation functions using matrix product states (MPS). In this approach, each recursively generated Chebyshev vector is…

强关联电子 · 物理学 2018-02-14 H. D. Xie , R. Z. Huang , X. J. Han , X. Yan , H. H. Zhao , Z. Y. Xie , H. J. Liao , T. Xiang

This paper focuses on the joint design of transmit waveforms and receive filters for airborne multiple-input-multiple-output (MIMO) radar systems in spectrally crowded environments. The purpose is to maximize the output…

信号处理 · 电气工程与系统科学 2023-04-06 Da Li , Bo Tang , Lei Xue

Nowadays, low-rank approximations of matrices are an important component of many methods in science and engineering. Traditionally, low-rank approximations are considered in unitary invariant norms, however, recently element-wise…

数值分析 · 数学 2026-05-15 Stanislav Morozov , Dmitry Zheltkov , Alexander Osinsky

We propose a general method for optimization with semi-infinite constraints that involve a linear combination of functions, focusing on the case of the exponential function. Each function is lower and upper bounded on sub-intervals by…

最优化与控制 · 数学 2014-01-13 Bogdan Dumitrescu , Bogdan C. Sicleru , Florin Avram

We compare several methods for the efficient generation of correlated random sequences (colored noise) by filtering white noise to achieve a desired correlation spectrum. We argue that a class of IIR filter-design techniques developed in…

计算物理 · 物理学 2007-05-23 Alejandro Rodriguez , Steven G. Johnson

This paper considers the approximation of a monomial $x^n$ over the interval $[-1,1]$ by a lower-degree polynomial. This polynomial approximation can be easily computed analytically and is obtained by truncating the analytical Chebyshev…

数值分析 · 数学 2021-01-19 Arvind K. Saibaba

We devise a method for designing materials that will have some desired structural characteristics. We apply it to multiblock copolymers that have two different types of monomers, A and B. We show how to determine what sequence of A's and…

凝聚态物理 · 物理学 2009-10-28 Tanya Kurosky , J. M. Deutsch

In this paper, we consider the problem of preamble design in multiple-input multiple-output (MIMO) systems employing offset quadrature amplitude modulation based filter bank multicarrier (OQAM/FBMC) and propose a preamble optimization…

信息论 · 计算机科学 2018-02-13 Wenfeng Liu , Da Chen , Kai Luo , Tao Jiang , Daiming Qu

Image resizing is a basic tool in image processing and in literature we have many methods, based on different approaches, which are often specialized in only upscaling or downscaling. In this paper, independently of the (reduced or…

数值分析 · 数学 2021-09-09 Donatella Occorsio , Giuliana Ramella , Woula Themistoclakis