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A common technique in the study of complex quantum-mechanical systems is to reduce the number of degrees of freedom in the Hamiltonian by using quasi-degenerate perturbation theory. While the Schrieffer--Wolff transformation achieves this…

Quantum Physics · Physics 2025-02-19 Isidora Araya Day , Sebastian Miles , Hugo K. Kerstens , Daniel Varjas , Anton R. Akhmerov

Quasinormal modes describe the ringdown of compact objects deformed by small perturbations. In generic theories of gravity that extend General Relativity, the linearized dynamics of these perturbations is described by a system of coupled…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Lam Hui , Alessandro Podo , Luca Santoni , Enrico Trincherini

Vector set orthogonal normalization and matrix QR decomposition are fundamental problems in matrix analysis with important applications in many fields. We know that Gram-Schmidt process is a widely used method to solve these two problems.…

Quantum Physics · Physics 2025-01-03 Zi-Ming Li , Yu-xi Liu

In the presence of arbitrary three-dimensional linear media with material loss and amplification, we present an electromagnetic field quantization scheme for quasinormal modes (QNMs), extending previous work for lossy media [Franke et al.,…

Quantum Physics · Physics 2022-02-16 Sebastian Franke , Juanjuan Ren , Stephen Hughes

Kernel mean embeddings -- integrals of a kernel with respect to a probability distribution -- are essential in Bayesian quadrature, but also widely used in other computational tools for numerical integration or for statistical inference…

Machine Learning · Statistics 2025-04-29 François-Xavier Briol , Alexandra Gessner , Toni Karvonen , Maren Mahsereci

We propose two frequency-domain filters to analyze ringdown signals of binary black hole mergers. The first rational filter is constructed based on a set of (arbitrary) quasi-normal modes (QNMs) of the remnant black holes, whereas the…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Sizheng Ma , Keefe Mitman , Ling Sun , Nils Deppe , François Hébert , Lawrence E. Kidder , Jordan Moxon , William Throwe , Nils L. Vu , Yanbei Chen

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black…

High Energy Physics - Theory · Physics 2009-11-10 Emanuele Berti , Vitor Cardoso , Kostas D. Kokkotas , Hisashi Onozawa

We study the quasinormal modes (QNM) for scalar, and electromagnetic perturbations in the Schwarzschild black hole with a deficit solid angle and quintessence-like matter. Using the sixth--order WKB approximation and the improved asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. López , Omar Pedraza , Roberto Arceo , V. Ceron

Despite significant advances in quantum algorithms, quantum programs in practice are often expressed at the circuit level, forgoing helpful structural abstractions common to their classical counterparts. Consequently, as many quantum…

Quantum Physics · Physics 2025-06-18 Zane M. Rossi , Jack L. Ceroni , Isaac L. Chuang

Quasinormal modes are characteristic signatures of compact objects. Here we consider rotating regular black holes, representing rotating generalizations of the Simpson and Visser metric. We present the spectrum of scalar quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Fech Scen Khoo

QMKPy provides a Python framework for modeling and solving the quadratic multiple knapsack problem (QMKP). It is primarily aimed at researchers who develop new solution algorithms for the QMKP. QMKPy therefore mostly functions as a testbed…

Other Computer Science · Computer Science 2022-12-01 Karl-Ludwig Besser , Eduard A. Jorswieck

Within the Quartet Condensation Model (QCM), the isovector pairing correlations for $N = Z$ nuclei are described with a very high accuracy by a condensate of $\alpha$-like quartets. The usual approach involves cumbersome recurrence…

Nuclear Theory · Physics 2019-03-27 V. V. Baran , D. S. Delion

We investigate quantum algorithms derived from tensor networks to simulate the static and dynamic properties of quantum many-body systems. Using a sequentially prepared quantum circuit representation of a matrix product state (MPS) that we…

Quantum Physics · Physics 2024-12-04 Michael L. Wall , Aidan Reilly , John S. Van Dyke , Collin Broholm , Paraj Titum

The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one-electron…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Eduard Kazaryan , Lyudvig Petrosyan , Vanik Shahnazaryan , Hayk Sarkisyan

We present a cross-language C++/Python program for simulations of quantum mechanical systems with the use of Quantum Monte Carlo (QMC) methods. We describe a system for which to apply QMC, the algorithms of variational Monte Carlo and…

Computational Physics · Physics 2009-11-13 J. K. Nilsen

Quasi-Newton (QN) methods provide an efficient alternative to second-order methods for minimizing smooth unconstrained problems. While QN methods generally compose a Hessian estimate based on one secant interpolation per iteration,…

Optimization and Control · Mathematics 2025-04-11 Mokhwa Lee , Yifan Sun

Quantum signal processing is a powerful framework in quantum algorithms, playing a central role in Hamiltonian simulation and related applications. The sequence of polynomials implemented at each step of this protocol provides a polynomial…

Quantum Physics · Physics 2026-05-08 Pierre-Antoine Bernard , Nathan Wiebe

Scikit-learn is a Python module integrating a wide range of state-of-the-art machine learning algorithms for medium-scale supervised and unsupervised problems. This package focuses on bringing machine learning to non-specialists using a…

Quantum machine learning (QML) is making rapid progress, and QML-based models hold the promise of quantum advantages such as potentially higher expressivity and generalizability than their classical counterparts. Here, we present work on…

Quantum Physics · Physics 2026-01-30 Mierk Schwabe , Lorenzo Pastori , Valentina Sarandrea , Veronika Eyring

This PhD thesis explores the potential of quantum computing to address computational challenges in high-energy physics (HEP). As the Standard Model (SM) leaves key questions unanswered and no signs of new physics have emerged since the…

Quantum Physics · Physics 2025-12-02 Jorge J. Martínez de Lejarza
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