Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

The Pauli Exclusion Principle

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...

The de Broglie Wavelength

The de Broglie Wavelength

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...

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

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.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Continuous-Time Quantum-Walk Centrality for Protein Residue Interaction Networks.

Journal of the American Chemical Society·2026

Same author

Joseph S. Francisco: A Biographical Sketch.

The journal of physical chemistry. A·2026

Same author

Tribute to Joseph S. Francisco.

The journal of physical chemistry. A·2026

Same author

Chiral discrimination on gate-based quantum computers.

The Journal of chemical physics·2026

Same author

Out-of-time-order correlators bridge classical transport and quantum dynamics.

The Journal of chemical physics·2026

Same author

Digital Quantum Simulation of Wavepacket Correlations in a Chemical Reaction.

Entropy (Basel, Switzerland)·2026

Same journal

Linker Engineering toward NIR-II Metal-Organic Framework with Maximal Emission beyond 1000 nm for Inflammatory Bowel Disease Imaging.

Journal of the American Chemical Society·2026

Same journal

Observing Kinetic Selectivity in Anthracene Photodimerization through Selective Quenching by Excited States of Proximate Rare Earth Cations.

Journal of the American Chemical Society·2026

Same journal

Sequence-Dependent Folding of Recognition-Encoded Melamine Oligomers.

Journal of the American Chemical Society·2026

Same journal

Large Thermo- and Mechanosalient Actuation via Cooperative Twist Elasticity-Induced Packing Motif Conversion.

Journal of the American Chemical Society·2026

Same journal

Discovery and Biosynthesis of Lanthipeptides Featuring an Azepinoindole Scaffold by Radical <i>S</i>-Adenosylmethionine Enzyme-Catalyzed C-C Bond Formation.

Journal of the American Chemical Society·2026

Same journal

Enantiopurity-Controlled Magnetism in a Two-Dimensional Organic-Inorganic Material.

Journal of the American Chemical Society·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Oct 15, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Quantum Machine-Learning for Eigenstate Filtration in Two-Dimensional Materials.

Manas Sajjan¹, Shree Hari Sureshbabu², Sabre Kais³

¹Department of Chemistry, Purdue University, West Lafayette, Indiana 47907, United States.

Journal of the American Chemical Society

|October 27, 2021

Summary

This summary is machine-generated.

This study introduces a novel quantum algorithm for filtering specific energy eigenstates, going beyond ground-state calculations. The method utilizes a shallow neural network and quantum circuits, offering quadratic resource efficiency for quantum simulations.

More Related Videos

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Gradient Echo Quantum Memory in Warm Atomic Vapor

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Related Experiment Videos

Last Updated: Oct 15, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Gradient Echo Quantum Memory in Warm Atomic Vapor

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Area of Science:

Quantum Computing
Machine Learning
Materials Science

Background:

Quantum machine-learning algorithms offer advantages over classical methods by utilizing quantum computers.
Current algorithms primarily focus on calculating the ground state of systems.
Exploring excited states is crucial for understanding material properties.

Purpose of the Study:

To develop a quantum algorithm capable of filtering any energy eigenstate.
To demonstrate the algorithm's efficacy on a novel class of materials.
To provide a new tool for exploring material band structures.

Main Methods:

A shallow neural network encodes the desired quantum state.
Quantum circuits sample the Gibbs-Boltzmann distribution for amplitude information.
Classical computation extracts phase information via nonlinear activation.
The algorithm's resource requirements are shown to be quadratic.

Main Results:

The quantum algorithm successfully filters specific energy eigenstates based on symmetry or user choice.
Demonstrated efficacy in monolayer transition metal dichalcogenides, a new area for quantum simulations.
Results from quantum simulators and IBM-Q devices align with conventional calculations.

Conclusions:

The developed quantum algorithm offers a new approach for state filtration beyond ground states.
This protocol can be applied to explore band structures of advanced materials.
The method presents a viable alternative to classical electronic structure and machine-learning techniques.