Kyungtaek Jun- Doctor of Philosophy
- Researcher at Chungbuk National University
Kyungtaek Jun
- Doctor of Philosophy
- Researcher at Chungbuk National University
CT alignment theory, Quantum computing
About
25
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88
Citations
Introduction
1. Quantum computing
https://github.com/ktfriends/Numerical_Quantum_Computing
2. CT alignment theory
https://github.com/ktfriends/Alignment_CT
https://github.com/ktfriends/Videos_for_Electron_Tomography_with_Translation_and_tilt_errors/issues
https://github.com/ktfriends/Videos_for_Electron_Tomography_with_Translation_and_tilt_errors/issues
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Publications
Publications (25)
![A flowchart of our proposed algorithm. \documentclass[12pt]{minimal}...](publication/389856938/figure/fig2/AS:11431281315910067@1742011157483/A-flowchart-of-our-proposed-algorithm-documentclass12ptminimal-usepackageamsmath_Q320.jpg)
With the advent and development of quantum computers, various quantum algorithms that can solve linear equations and eigenvalues faster than classical computers have been developed. In particular, a hybrid solver provided by D-Wave’s Leap quantum cloud service can utilize up to two million variables. Using this technology, quadratic unconstrained b...
Quantum computing has emerged as a transformative paradigm, capable of tackling complex computational problems that are infeasible for classical methods within a practical timeframe. At the core of this advancement lies the concept of quantum supremacy, which signifies the ability of quantum processors to surpass classical systems in specific tasks...
In the era of quantum computing, the emergence of quantum computers and subsequent advancements have led to the development of various quantum algorithms capable of solving linear equations and eigenvalues, surpassing the pace of classical computers. Notably, the hybrid solver provided by the D-wave system can leverage up to two million variables....
With the advent of quantum computers, many quantum computing algorithms are being developed. Solving linear systems is one of the most fundamental problems in modern science and engineering. The Harrow Hassidim-Lloyd algorithm, a monumental quantum algorithm for solving linear systems on gate model quantum computers, was invented and several advanc...
![Example used in the QUBO model. (a) 2×2\documentclass[12pt]{minimal}...](publication/373600301/figure/fig4/AS:11431281251300800@1718207868388/Example-used-in-the-QUBO-model-a-22documentclass12ptminimal-usepackageamsmath_Q320.jpg)
Computed tomography (CT) has been developed as a nondestructive technique for observing minute internal images in samples. It has been difficult to obtain photorealistic (clean or clear) CT images due to various unwanted artifacts generated during the CT scanning process, along with the limitations of back-projection algorithms. Recently, an iterat...
The security of the RSA cryptosystem is based on the difficulty of factoring a large number N into prime numbers p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\en...
Computed tomography (CT) is an important imaging technique used in medical analysis of the internal structure of the human body. Previously, image segmentation methods were required after acquiring reconstructed CT images to obtain segmented CT images which made it susceptible to errors from both reconstruction and segmentation algorithms. However,...
The security of the RSA cryptosystem is based on the difficulty of factoring a large number N into prime numbers p and q satisfying N=p*q . This paper presents a prime factoriaation method using D-Wave quantum computer that can threaten the RSA cryptosystem. The starting point for this method is very simple, representing two prime numbers as qubits...
Computed tomography has been developed as a non-destructive technique for observing internal images of samples. It was difficult to obtain a clean CT image due to various artifacts generated during scanning and limitations of backprojection algorithms. Recently, an iterative optimization algorithm has been developed that uses the entire sinogram to...
Computed tomography has been developed as a non-destructive technique for observing internal images of samples. It was difficult to obtain a clean CT image due to various artifacts generated during scanning and limitations of backprojection. Recently, an iterative optimization algorithm has been developed that uses the entire sinogram to make small...
With the advent and development of quantum computers, various quantum algorithms that can solve linear equations and eigenvalues faster than classical computers have been developed. The Harrow-Hassidim-Lloyd algorithm is an algorithm that can solve linear equations in a gate model quantum computer. Still, it is constrained by the use of quantum RAM...
Solving the eigenvalue problem is particularly important in almost all fields of science and engineering. With the development of quantum computers, multiple algorithms have been proposed for this purpose. However, such methods are usually only applicable to matrices of specific types, such as unitary or Hermitian matrices. The quantum annealer of...
Previous research on quantum annealing methods focused on effectively modeling systems of linear equations by utilizing quadratic unconstrained binary optimization (QUBO) formulations. These studies take part in enhancing quantum computing algorithms, which extract properties of quantum computers suitable for improving classical computational model...
We introduce a new CT image reconstruction algorithm that is less affected by various artifacts. The new reconstruction algorithm is a method of minimizing the difference between synchrotron X-ray tomography data and sinograms generated using Radon transform of CT images. The CT image is iteratively updated to reduce the difference from the sinogra...
Recent studies on quantum computing algorithms focus on excavating features of quantum computers which have potential for contributing to computational model enhancements. Among various approaches, quantum annealing methods effectively parallelize quadratic unconstrained binary optimization (QUBO) formulations of systems of linear equations. In thi...
With the advent of quantum computers, many quantum computing algorithms are being developed. Solving linear system is one of the most fundamental problems in almost all of science and engineering. Harrow-Hassidim-Lloyd algorithm, a monumental quantum algorithm for solving linear systems on the gate model quantum computers, was invented and several...
Many quantum computing algorithms are being developed with the advent of quantum computers. Solving linear systems is one of the most fundamental problems in almost all of science and engineering. HHL algorithm, a monumental quantum algorithm for solving linear systems on the gate model quantum computers, was invented and several advanced variation...
X-ray tomography has been studied in various fields. Although a great deal of effort has been directed at reconstructing the projection image set from a rigid-type specimen, little attention has been addressed to the reconstruction of projected images from an object showing elastic motion. Here, we present a mathematical solution to reconstruct the...
