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In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes ("quasi codes"). By definition, a quasi code is a parametric approximate…

Quantum Physics · Physics 2022-02-25 Dong-Sheng Wang , Yun-Jiang Wang , Ningping Cao , Bei Zeng , Raymond Laflamme

We present a detailed study of quasinormal modes and greybody factors in the context of the parametrized quasinormal mode framework, in which modifications to general relativity are introduced as small corrections in the potential. We…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Georgios Antoniou

We perform a systematic WKB expansion to all orders for a one--dimensional system with potential $V(x)=U_0/\cos^2{(\alpha x)}$. We are able to sum the series to the exact energy spectrum. Then we show that any finite order WKB approximation…

chao-dyn · Physics 2008-02-03 Marko Robnik , Luca Salasnich

In this work, we implement the $13^{th}$ order semi-analytical WKB method to explore the stability of hairy black holes obtained in the framework of Gravitational Decoupling. In particular, we perform a detailed analysis of the frequencies…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Roberto Avalos , Ernesto Contreras

This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the first method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Kai Lin

We analyse the accuracy of the approximate WKB quantization for the case of general one-dimensional quartic potential. In particular, we are interested in the validity of semiclassically predicted energy eigenvalues when approaching the…

Chaotic Dynamics · Physics 2009-10-31 Marko Vranicar , Marko Robnik

In this paper we study quasinormal modes and absorption cross sections for the $(1+3)$-dimensional Bardeen black hole surrounded by perfect fluid dark matter. Studies of the massless scalar field is already done in \cite{Sun:2023slzl}.…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Ángel Rincón , Sharmanthie Fernando , Grigoris Panotopoulos , Leonardo Balart

We present results from a new code for computing gravitational perturbations of the Kerr geometry. This new code carefully maintains high precision to allow us to obtain high-accuracy solutions for the gravitational quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Gregory B. Cook , Maxim Zalutskiy

Many-body perturbation theory is a powerful method to simulate electronic excitations in molecules and materials starting from the output of density functional theory calculations. By implementing the theory efficiently so as to run at…

Materials Science · Physics 2022-08-11 Victor Wen-zhe Yu , Marco Govoni

The Knill-Laflamme (KL) conditions distinguish exact quantum error correction codes, and it has played a critical role in the discovery of state-of-the-art codes. However, the family of exact codes is a very restrictive one and does not…

Quantum Physics · Physics 2024-06-21 Guo Zheng , Wenhao He , Gideon Lee , Liang Jiang

We investigate the quasinormal mode and greybody factor of Bardeen black holes with a string clouds by WKB approximation and verify them by Prony algorithm. We found that the imaginary part of the quasinormal modes spectra is always…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Yunlong Liu , Xiangdong Zhang

We construct an analytic geodesic-optics description of quasinormal ringing, black-hole shadows, strong lensing, and grey-body factors for the static spherical metric introduced in [Bakopoulos, et. al. arXiv:2310.11919]. Working in a…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov

We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than the usual method of interpolating with linear potentials in…

Quantum Physics · Physics 2007-05-23 U. P. Sukhatme , M. N. Sergeenko

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Zainab Malik

We study the quasi-normal modes for scalar, electromagnetic, and gravitational axial perturbations in the Hayward regular black hole surrounded by quintessence (HBH-$\omega_q$). Using the third--order WKB approximation we can determine the…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Omar Pedraza , L. A. López , R. Arceo , I. Cabrera-Munguia

It has been recently realized that, in the case of polynomial potentials, the exact WKB method can be reformulated in terms of a system of TBA equations. In this paper we study this method in various examples. We develop a graphical…

High Energy Physics - Theory · Physics 2021-08-18 Yoan Emery

Recently, a static spherically symmetric black hole solution was found in gravity nonminimally coupled a background Kalb-Ramond field. The Lorentz symmetry is spontaneously broken when the Kalb-Ramond field has a nonvanishing vacuum…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Wen-Di Guo , Qin Tan , Yu-Xiao Liu

We discuss Pad\'e-improvement of known four-loop order results based upon an asymptotic three-parameter error formula for Pad\'e-approximants. We derive an explicit formula estimating the next-order coefficient $R_4$ from the previous…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Elias , T. G. Steele , F. Chishtie , R. Migneron , K. Sprague

This article describes an improved brute-force solving strategy for Quadratic Unconstrained Binary Optimization (QUBO) problems that is faster than naive approaches and easily parallelizable. It exploits the Gray code ordering of natural…

Data Structures and Algorithms · Computer Science 2023-10-31 Sascha Mücke

The purpose of this study is to construct a near capacity Irregular Turbo Code and to evaluate its performance over Gaussian channel. The methodology used to evaluate and measure the performance of the new design is by simulating the system…

Information Theory · Computer Science 2016-04-06 Abiodun Sholiyi , Jafar A. Alzubi , Omar A. Alzubi , Omar Almomani , Tim O'Farrell