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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Nuclear magnetic resonance (NMR) spectroscopy is a very valuable analytical technique for researchers. It has been used for more than 50 years as an analytical tool. F. Bloch and E. Purcell formulated NMR in 1946 and won the 1952 Nobel Prize in Physics  for their work. Biological macromolecules such as proteins, nucleic acids, lipids, and organic molecules including pharmaceutical compounds, can be studied using this versatile tool that exploits the magnetic properties of certain nuclei.
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Quantum machine learning for chemistry and physics.

Manas Sajjan1,2, Junxu Li2,3, Raja Selvarajan2,3

  • 1Department of Chemistry, Purdue University, West Lafayette, IN-47907, USA. kais@purdue.edu.

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Machine learning (ML) and deep learning (DL) are revolutionizing chemistry by uncovering patterns for predictive models. Both classical and quantum computing enhanced ML algorithms accelerate discoveries in materials science, drug design, and chemical dynamics.

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Area of Science:

  • Physical Sciences, specifically Chemistry
  • Materials Science
  • Drug Design
  • Chemical Dynamics

Background:

  • Machine learning (ML) and deep learning (DL) identify patterns in data for predictive modeling.
  • These AI techniques have driven significant advancements across physical sciences, particularly chemistry.
  • Emerging ML algorithms are compatible with near-term quantum hardware.

Purpose of the Study:

  • To review machine learning applications in chemistry.
  • To highlight contributions from classical and quantum computing-enhanced ML.
  • To foster interdisciplinary research and accelerate ML algorithm development in chemistry.

Main Methods:

  • Explication of selected ML topics and techniques.
  • Overview of classical and quantum computing-enhanced ML algorithms.
  • Statistical physical insights into ML learning strategies.

Main Results:

  • ML has revolutionized materials design, photovoltaics, and electronic structure calculations.
  • ML aids in computing force fields, chemical reaction dynamics, and drug design.
  • ML enables accurate classification of matter phases and identification of emergent criticality.

Conclusions:

  • ML and DL are powerful tools transforming chemical research and discovery.
  • Quantum computing integration with ML shows promising outcomes for complex problems.
  • Cross-pollination of ideas between ML and chemistry will accelerate scientific progress.