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Iterative methods based on matrix splittings are useful in solving large sparse linear systems. In this direction, proper splittings and its several extensions are used to deal with singular and rectangular linear systems. In this article,…

数值分析 · 数学 2019-07-08 Ashish Kumar Nandi , Jajati Keshari Sahoo , Debasisha Mishra

A theory of nonlinear signal propagation in multi-span wavelength division multiplexed coherent transmission systems that employ the semiconductor optical amplifier as in-line amplifiers is presented for the first time. The rigorous…

光学 · 物理学 2017-11-17 Amirhossein Ghazisaeidi

In this article, we study the properties of the nonlinear Fourier spectrum in order to gain better control of the temporal support of the signals synthesized using the inverse nonlinear Fourier transform (NFT). In particular, we provide…

计算物理 · 物理学 2018-09-17 Vishal Vaibhav

In this paper, we consider a method for implementing a quantum logic gate with photons whose wave function propagates in a one-dimensional Kerr-nonlinear photonic crystal. The photonic crystal causes the incident photons to undergo Bragg…

量子物理 · 物理学 2011-11-09 Hiroo Azuma

This report answers queries about extending the blinding index approach to a situation with measurements at multiple time points. The key question is how to test if there is progressive unblinding. A related question is how to apportion…

应用统计 · 统计学 2018-06-13 Anil Gore , Sharayu Paranjpe

We introduce and experimentally demonstrate the concept of all-optical beam switching in graded-index multimode optical fibers. Nonlinear coupling between orthogonally polarized seed and signal beams permits to control the spatial beam…

High-performance optical beam splitters are of fundamental importance for the development of advanced silicon photonics integrated circuits. However, due to the high refractive index contrast of the silicon-on-insulator platform, state of…

We present a modified compute-and-forward scheme which utilizes Channel State Information at the Transmitters (CSIT) in a natural way. The modified scheme allows different users to have different coding rates, and use CSIT to achieve larger…

信息论 · 计算机科学 2015-02-03 Jingge Zhu , Michael Gastpar

While traditional implementations of variable-length digital delay lines are based on a circular buffer accessed by two pointers, we propose an implementation where a single fractional pointer is used both for read and write operations. On…

声音 · 计算机科学 2016-11-17 Davide Rocchesso

Breaking the symmetry between forward and backward propagating optical modes is of fundamental scientific interest and enables crucial functionalities, such as isolators, circulators, and duplex communication systems. Whereas there has been…

In this paper we analyse convergence of projected fixed-point iteration on a Riemannian manifold of matrices with fixed rank. As a retraction method we use `projector splitting scheme'. We prove that the projector splitting scheme converges…

数值分析 · 数学 2016-04-08 Denis Kolesnikov , Ivan Oseledets

Universal quantum gates lie at the heart of designing quantum computer. We construct two compact quantum circuits to implement post-selected controlled-phase-flip (CPF) gate and Toffoli gate with linear optics assisted by one and two single…

量子物理 · 物理学 2022-11-18 Wen-Qiang Liu , Hai-Rui Wei

This paper presents a way to define, classify and accelerate the order of convergence of an uncountable family of fractional fixed point methods, which may be useful to continue expanding the applications of fractional operators. The…

数值分析 · 数学 2024-03-27 A. Torres-Hernandez , F. Brambila-Paz , R. Montufar-Chaveznava

Beam splitter mediated entanglement of nonlinear photon-added coherent states was studied by Honarasa, Bagheri and Gharaati [1]. We believe that this work contains errors in numerical computations of linear entropy and Mandel parameter…

量子物理 · 物理学 2017-05-16 Hadia Bint Monir , Shahid Iqbal

Implementing spatially-encoded universal linear multiport interferometers on integrated photonic platforms with high controllability becomes increasingly difficult as the number of modes increases. In this work, we consider an architecture…

量子物理 · 物理学 2018-12-19 Haoyu Qi , Lukas G. Helt , Daiqin Su , Zachary Vernon , Kamil Brádler

The stationary point of Problem 2 is NOT the stationary point of Problem 1. We are sorry and we are working on fixing this error.

机器学习 · 计算机科学 2018-08-07 Linbo Qiao , Wei Liu , Steven Hoi

Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field multiplier is regarded as the bottleneck arithmetic unit for such applications and it is the most complicated operation over finite field…

信息论 · 计算机科学 2023-09-15 Saeideh Nabipour , Gholamreza Zare Fatin , Javad Javidan

To estimate the smoothing distribution in a nonlinear state space model, we apply the conditional particle filter with ancestor sampling. This gives an iterative algorithm in a Markov chain Monte Carlo fashion, with asymptotic convergence…

统计计算 · 统计学 2015-09-17 Andreas Svensson , Thomas B. Schön , Manon Kok

We cast diffraction-based interferometry in the framework of post-selected unitary description towards enabling it as a platform for quantum information processing. We express slit-diffraction as an infinite-dimensional transformation and…

量子物理 · 物理学 2021-09-17 Simanraj Sadana , Barry C. Sanders , Urbasi Sinha

In this article, we present an extension of the splitting algorithm proposed in [22] to networks of conservation laws with piecewise linear discontinuous flux functions in the unknown. We start with the discussion of a suitable Riemann…

数值分析 · 数学 2022-09-08 Jan Friedrich , Simone Göttlich , Annika Uphoff
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