--- title: "Artificial Intelligence Reduces a 100,000-Equation Quantum Physics Problem to Only Four Equations" description: "Without losing accuracy, researchers trained a machine learning technique to capture the physics of electrons travelling on a lattice." author: "Muskan Singh" published: 2022-10-06 canonical: https://www.mindstick.com/news/2089/artificial-intelligence-reduces-a-100-000-equation-quantum-physics-problem-to-only-four-equations category: "quantum physics" tags: ["physics", "science and technology", "research", "engineering"] reading_time: 2 minutes --- # Artificial Intelligence Reduces a 100,000-Equation Quantum Physics Problem to Only Four Equations **Without losing accuracy, [researchers](https://www.mindstick.com/news/1544/mars-looks-more-seismically-active-than-before-thought-said-researchers) trained a [machine learning](https://www.mindstick.com/articles/13070/rising-popularity-of-machine-learning-classes-in-bangalore) technique to capture the physics of electrons travelling on a lattice using a far less number of equations than would ordinarily be necessary.** Scientists have used [**artificial intelligence**](https://www.mindstick.com/news/1809/protein-known-to-science-is-finally-predicted-by-artificial-intelligence) to condense a difficult quantum problem that previously required 100,000 equations into a manageable assignment that only requires four equations, all while maintaining accuracy. The **research, which appeared in Physical Review Letters on September 23**, may completely alter how scientists approach studying systems with lots of interacting electrons. **The method may also help in the [development](https://www.mindstick.com/articles/65309/importance-of-ux-design-in-the-development-of-mobile-apps) of materials with desirable qualities like superconductivity or use in the production of [renewable energy](https://yourviews.mindstick.com/story/1543/countries-leading-the-charge-on-renewable-energy) if it is transferable to other issues.** Together [differential](https://answers.mindstick.com/qa/106842/what-is-a-differential) equations; then we're using machine learning to reduce it to something so small you can count it on your fingers,' explains the study's lead author, **Domenico Di Sante, a visiting research fellow at the Center for Computational [Quantum Physics](https://www.mindstick.com/forum/55055/what-is-quantum-physics) (CCQ) of the Flatiron Institute in New York City and an assistant professor at the University of Bologna in Italy.** How electrons move on a lattice-like structure and behave is a difficult topic. There is [interaction](https://yourviews.mindstick.com/view/80771/technology-is-destroying-human-interaction-how) when two electrons are present at the same lattice location. But the Hubbard model appears to be rather straightforward. **The problem demands a significant amount of [computer power](https://answers.mindstick.com/qa/102408/describe-the-features-of-a-computer-power-supply-unit), even for a small number of electrons using state-of-the-art computational techniques.** That's because interactions between electrons might induce quantum mechanical entanglements in their fates: **The two electrons cannot be dealt separately, even when they are far apart on distinct lattice sites,** therefore [**physicists**](https://www.mindstick.com/news/2059/nasa-s-dart-spacecraft-hits-target-asteroid-in-first-planetary-defense-test) must deal with all of the electrons at once rather than one at a time. --- Original Source: https://www.mindstick.com/news/2089/artificial-intelligence-reduces-a-100-000-equation-quantum-physics-problem-to-only-four-equations Copyright © MindStick Software Pvt. Ltd. This Markdown version is provided for developers, AI systems, and offline reading.