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 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.

The Uncertainty Principle

The Uncertainty Principle

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...

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...

Molecular Orbital Theory I

Molecular Orbital Theory I

Overview of Molecular Orbital Theory

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:

Molecular Orbital Theory II

Molecular Orbital Theory II

Molecular Orbital Energy Diagrams

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

Taphonomic analysis at Liang Bua reveals the behavioral and technological capabilities of <i>Homo floresiensis</i>.

Science advances·2026

Same journal

Targeting granule initiation and amyloplast structure to create giant starch granules in wheat.

Science advances·2026

Same journal

A meta-analysis of carbon losses and gains from tropical moist forest degradation and regeneration.

Science advances·2026

Same journal

Ancient DNA reveals elite dynastic rule among Iron Age Eurasian Steppe nomads.

Science advances·2026

Same journal

Targeting astrocytic Dp71 attenuates BBB disruption after traumatic brain injury through WTAP-associated m<sup>6</sup>A regulation of MMP2.

Science advances·2026

Same journal

Pancreatic α cells are required for nutrient homeostasis by regulating dynamic β cell networks in islets.

Science advances·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Jul 30, 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

Toward perturbation theory methods on a quantum computer.

Junxu Li^1,2, Barbara A Jones³, Sabre Kais¹

¹Department of Chemistry, Department of Physics and Astronomy, and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, IN 47907, USA.

Science Advances

|May 12, 2023

Summary

This summary is machine-generated.

Quantum computing offers a superior alternative to classical methods for perturbation theory. This new quantum circuit accurately estimates energy corrections for complex systems, outperforming classical approaches.

More Related Videos

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jul 30, 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

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum Computing
Computational Physics
Theoretical Chemistry

Background:

Perturbation theory is a fundamental method for approximating solutions to complex problems.
Classical computation faces limitations in solving large-scale quantum systems.
Recent advances in quantum computing present new avenues for computational methods.

Purpose of the Study:

To develop and demonstrate a general quantum circuit for estimating energy and eigenstate corrections.
To showcase the superiority of the quantum approach over classical methods for second-order energy corrections.
To apply the quantum circuit to the two-site extended Hubbard model.

Main Methods:

Implementation of a general quantum circuit for perturbation theory.
Numerical simulations using qiskit.
Execution and results analysis on IBM's quantum hardware.
Application to the two-site extended Hubbard model.

Main Results:

The developed quantum circuit significantly outperforms classical methods for second-order energy corrections.
Accurate estimation of energy and eigenstate corrections was achieved.
Demonstrated feasibility and performance on real quantum hardware.

Conclusions:

Quantum computing provides a powerful and efficient tool for perturbation theory.
The proposed quantum circuit offers a generalizable approach for studying complex Hamiltonian systems.
This method eliminates the need for training or optimization processes to obtain perturbative terms.