Colloquium / Seminars
Topic:Quantum-inspired algorithm--Solving Gross-Pitaevskii Equation using Quantic Tensor Train
Speaker:Prof. Chia-Min Chung
(Department of electrophysics, NYCU)Date time:Sep 23, 2025 14:00 - 15:00
Venue:SA213
Abstract:
Abstract
The Quantic Tensor Train (QTT) is a tensor network framework that provides highly compact representations of high-dimensional functions and operators. This makes it a promising tool for tackling nonlinear partial differential equations that are otherwise computationally demanding. In this work, we explore the use of QTT for solving the Gross–Pitaevskii equation (GPE), a fundamental nonlinear model describing Bose–Einstein condensates and related quantum systems. By using QTT, we significantly reduce the computational complexity compared to conventional discretization methods, achieving efficient and scalable solutions. Our results demonstrate the potential of QTT to extend tensor network techniques beyond linear problems, opening the door to new applications in nonlinear quantum dynamics and many-body physics.Download:Talk_1140923.pdf
