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[CT154]

Session Date & Time : 2E (Aug.22, 17:40-19:20)
Type : Contributed Talk
Abstract : Certain class of infinite sums can be calculated analytically starting from a specific quantum mechanical problem. For simplicity we illustrate the method by exploring the problem of a particle in a box. Twofold calculation of the mean value of energy for the polynomial wave function inside the well yields even argument p of Riemann zeta and related functions. This method can be applied to a wide class of exactly solvable quantum mechanical problems.
Classification : 81P10, 35J10, 35L05, 37N20
Author(s) :
- Milica Pavkov Hrvojevic (Facuty of Sciences University of Novi Sad )
- Petar Mali (Faculty of Sciences University of Novi Sad)
- Milica Rutonjski (Faculty of Sciences University of Novi Sad)
- Slobodan Radosevic (Faculty of Sciences University of Novi Sad)

Session Date & Time : 2E (Aug.22, 17:40-19:20)
Type : Contributed Talk
Abstract : In this talk, I will first introduce classicality and quantumness in a given quantum state. As quantumness speeds up quantum algorithms, gauging the "non-quantumness" or so-called "classicality" becomes an important task. Next, I will demonstrate using descent flow on smooth manifolds to resolve the issue. Finally, I will exhibit several numerical experiments to clarify whether our proposed method is reliable and applicable.
Classification : 81P50, 15B10, 53Z99
Author(s) :
- BingZe Lu (Mathematics, National Cheng Kung University)
- YuChen Shu (Mathematics, National Cheng Kung University)
- Matthew M. Lin (National Cheng Kung University)

Session Date & Time : 2E (Aug.22, 17:40-19:20)
Type : Contributed Talk
Abstract : The recent advancement in the quantum computing has directly challenged the reliability of conventional cryptographic algorithms. Specifically for image encryption, large volume and highly correlated data is its Achilles heel. The exponential storage and processing capabilities of quantum information, has led to its application in quantum image processing. As chaos theory is most popular in image encryption paradigm. Thus, the proposed talk is on the exploration of quantum chaos for image encryption.
Classification : 81Pxx, 68Uxx
Author(s) :
- Gurpreet Kaur (Amity University Noida)

Session Date & Time : 2E (Aug.22, 17:40-19:20)
Type : Contributed Talk
Abstract : We propose a Response Surface Methodology (RSM) based model updating approach using Frequency Response Function (FRF) curvature as the response for optimization. The optimization algorithm is based on a multi-objective function that is solved using MATLAB. The updated model is then used for identifying structural damage. The proposed approach is validated through numerical simulations on a simply supported beam and an experimental study on a free-free aluminum beam. The results demonstrate that the RSM-based model updating approach can accurately identify the location and severity of damage in structures.
Classification : 82M20, 90C29
Author(s) :
- Nur Raihana Sukri (Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia)
- Syarifah Zyurina Nordin (Malaysia Japan International Institute of Technology (MJIIT), Universiti Teknologi Malaysia)
- Nurulakmar Abu Husain (Malaysia Japan International Institute of Technology, Universiti Teknologi Malaysia)

Session Date & Time : 2E (Aug.22, 17:40-19:20)
Type : Contributed Talk
Abstract : We propose the random-batch Monte Carlo method to sample from equilibrium distributions of particle systems with singular interacting kernels, with $O(1)$ cost per timestep. The interacting potential is divided into two parts, one is long-range but smooth, the other is short-range but singular. We first evolve a selected particle using the SDEs under the smooth part with the random-batch idea, then do a Metropolis rejection by using the short-range part. The proposed method is justified in theory and numerical experiments.
Classification : 82M37, 65C05, 65C30, 65M75
Author(s) :
- Yue Zhao (Shanghai Jiao Tong University)