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In this paper we study the problem of minimizing a submodular function $f : 2^V \rightarrow \mathbb{R}$ that is guaranteed to have a $k$-sparse minimizer. We give a deterministic algorithm that computes an additive $\epsilon$-approximate…

Data Structures and Algorithms · Computer Science 2024-07-09 Andrei Graur , Haotian Jiang , Aaron Sidford

In this work, we study the projective quantum eigensolver (PQE) approach to optimizing unitary coupled cluster wave functions on quantum hardware, as introduced in arXiv:2102.00345. The projective quantum eigensolver is a hybrid…

Quantum Physics · Physics 2026-01-28 Martin Plazanet , Thomas Ayral

Self-consistent computations of the potential profile in complex semiconductor heterostructures can be successfully applied for comprehensive simulation of the gain and the absorption spectra, for the analysis of the capture, escape,…

Other Condensed Matter · Physics 2009-11-10 Ivan Safonov , Aleksey Shulika , Igor Sukhoivanov , Volodimir Lysak

We develop an effective computational tool for simulating the scattering of 1D waves by a composite layer architected in an otherwise homogeneous medium. The layer is designed as the union of segments cut from various mother periodic media,…

Computational Physics · Physics 2025-11-19 Prasanna Salasiya , Bojan B. Guzina

This short note reports a new derivation of the optimal order of the a priori error estimates for conforming virtual element methods (VEM) on 3D polyhedral meshes based on an error equation. The geometric assumptions, which are necessary…

Numerical Analysis · Mathematics 2018-10-03 Shuhao Cao , Long Chen , Frank Lin

We describe a method to automatically generate an ion implantation recipe, a set of energies and fluences, to produce a desired defect density profile in a solid using the fewest required energies. We simulate defect density profiles for a…

Superconducting photoelectron injectors are a promising technique for generating high brilliant pulsed electron beams with high repetition rates and low emittances. Experiments such as ultra-fast electron diffraction, experiments at the…

Accelerator Physics · Physics 2025-03-19 David Meier , Luis Vera Ramirez , Jens Völker , Bernhard Sick , Jens Viefhaus , Gregor Hartmann

The problem of constructing pseudorandom generators that fool halfspaces has been studied intensively in recent times. For fooling halfspaces over the hypercube with polynomially small error, the best construction known requires seed-length…

Computational Complexity · Computer Science 2014-11-18 Parikshit Gopalan , Daniel Kane , Raghu Meka

In methods like geminal-based approaches or coupled cluster that are solved using the projected Schr\"odinger equation, direct computation of the 2-electron reduced density matrix (2-RDM) is impractical and one falls back to a 2-RDM based…

We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC), following the same spirit of frame transformation in {[}Phys. Rev. A 95, 020702(R) (2017){]}. The frame transformation correctly…

Quantum Gases · Physics 2022-02-14 Christiaan R. Hougaard , Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu , Jia Wang

Orthogonal time frequency space (OTFS) modulation has been proposed recently as a new waveform in the context of doubly-selective multi-path channels. This article proposes a novel pilot design that improves OTFS spectral efficiency (SE)…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Davide Bergamasco , Federico Clazzer , Andrea Munari , Paolo Casari

In contrast to radio frequency (RF), where the modulation bandwidth is restricted by regulations to avoid interference, the available bandwidth in optical wireless communication (OWC) is primarily constrained by system components. To…

Signal Processing · Electrical Eng. & Systems 2026-05-06 Xiaochen Liu , Jean-Paul M. G. Linnartz , Thiago E. B. Cunha

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

Optimization and Control · Mathematics 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

A method for construction of polar subcodes is presented, which aims on minimization of the number of low-weight codewords in the obtained codes, as well as on improved performance under list or sequential decoding. Simulation results are…

Information Theory · Computer Science 2017-05-04 Peter Trifonov , Grigorii Trofimiuk

We optimize Hockney and Eastwood's Particle-Particle Particle-Mesh (P3M) algorithm to achieve maximal accuracy in the electrostatic energies (instead of forces) in 3D periodic charged systems. To this end we construct an optimal influence…

Computational Physics · Physics 2010-12-08 V. Ballenegger , J. J. Cerda , Ch. Holm , O. Lenz

We empirically evaluate an undervolting technique, i.e., underscaling the circuit supply voltage below the nominal level, to improve the power-efficiency of Convolutional Neural Network (CNN) accelerators mapped to Field Programmable Gate…

An attractive research direction for future communication systems is the design of new waveforms that can both support high throughputs and present advantageous signal characteristics. Although most modern systems use orthogonal…

Information Theory · Computer Science 2021-10-22 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis , Jean-Marie Gorce

In our earlier work [Fareed et al., Comput. Math. Appl. 75 (2018), no. 6, 1942-1960], we proposed an incremental SVD algorithm with respect to a weighted inner product to compute the proper orthogonal decomposition (POD) of a set of…

Numerical Analysis · Mathematics 2021-02-01 Hiba Fareed , John R. Singler

Lowering the resource overhead needed to achieve fault-tolerant quantum computation is crucial to building scalable quantum computers. We show that adapting conventional maximum likelihood (ML) decoders to a small subset of efficiently…

Quantum Physics · Physics 2025-07-14 Pavithran Iyer , Aditya Jain , Stephen D. Bartlett , Joseph Emerson

The objective of this paper is to minimize the energy consumption of a quantized Min-Sum LDPC decoder, by considering aggressive voltage downscaling of the decoder circuit. Since low power supply may introduce faults in the memories used by…

Information Theory · Computer Science 2021-08-30 Mohamed Yaoumi , Jeremy Nadal , Elsa Dupraz , Frederic Guilloud , Francois Leduc-Primeau
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