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Using Basic Quantum Circuits to Simulate 1D Ising Model
Version 1
: Received: 10 January 2024 / Approved: 10 January 2024 / Online: 10 January 2024 (06:39:58 CET)
How to cite: Luo, J. Using Basic Quantum Circuits to Simulate 1D Ising Model. Preprints 2024, 2024010768. https://doi.org/10.20944/preprints202401.0768.v1 Luo, J. Using Basic Quantum Circuits to Simulate 1D Ising Model. Preprints 2024, 2024010768. https://doi.org/10.20944/preprints202401.0768.v1
Abstract
The Ising model, a cornerstone in the understanding of critical points, phase transitions, and magnetic systems, has been pivotal in advancing our knowledge of statistical physics. Although analytical solutions exist for the 1D and 2D Ising models, complexities rise significantly with the inclusion of external magnetic fields and in higher dimensions. Here, we demonstrate a novel quantum computational approach to simulate the 1D Ising model with basic quantum gates in the QISKIT(Python) that is both accessible to beginners and executable on personal computers, bypassing the need for advanced computational infrastructure. By initializing the system in a comprehensive superposition state, we effectively utilize quantum gates to replicate the intricate interactions between spins and external fields. This method offers a more intuitive and direct observational means of the system's evolution, distinguishing it from previous methodologies. Our results not only repeat all the physics behavior in the 1D Ising model but also showcase the expanding capabilities of quantum computing to tackle complex physical systems, promising advancements in both theoretical and applied physics.
Keywords
Ising Model; QISKIT; Quantum Circuits; Quantum Computing
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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