Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

34.4K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
34.4K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

35.5K
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:
35.5K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.1K
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.
42.1K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

31.8K
Overview of Molecular Orbital Theory
31.8K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

897
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
897
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

1.2K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Water-modulated conformational heterogeneity underlies multiple timescales of primary charge separation in photosystem II.

Nature communications·2026
Same author

Operational bounds and diagnostics for coherence in energy transfer.

The Journal of chemical physics·2026
Same author

Operational impact of quantum resources in chemical dynamics.

The Journal of chemical physics·2026
Same author

Quantum coherence in neuromorphic computing.

The Journal of chemical physics·2026
Same author

What is quantum biology?

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Photoenzymatic Csp<sup>3</sup>-Csp<sup>3</sup> bond formation via enzyme-templated radical-radical coupling.

Proceedings of the National Academy of Sciences of the United States of America·2026

Related Experiment Video

Updated: Jun 12, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

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

Published on: May 30, 2014

14.5K

Quantum State Combinatorics.

Gregory D Scholes1

  • 1Department of Chemistry, Princeton University, Princeton, NJ 08544, USA.

Entropy (Basel, Switzerland)
|September 27, 2024
PubMed
Summary
This summary is machine-generated.

Analyzing large quantum states is challenging. This study shows how combinatorics can reveal complex correlations in quantum states with minimal information, making analysis feasible.

Keywords:
combinatoricsmultipartite entanglementquantum statesrandom graphsseparability

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

8.9K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Related Experiment Videos

Last Updated: Jun 12, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

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

Published on: May 30, 2014

14.5K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

8.9K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Systems

Background:

  • Quantifying the separability of quantum states is crucial but computationally infeasible for large systems.
  • Understanding multipartite correlations in large quantum states remains a significant challenge in quantum physics.

Purpose of the Study:

  • To develop a method for deducing the structure of non-classical correlations in large quantum states using limited information.
  • To demonstrate the utility of combinatorial methods in analyzing complex quantum correlations.

Main Methods:

  • Leveraging established results from combinatorics to infer correlation structures.
  • Utilizing pedagogical examples to illustrate the application of combinatorial techniques.
  • Analyzing ensembles described by large quantum states.

Main Results:

  • Established that reasonable expectations of complex multipartite correlations can be deduced with surprisingly little information about large quantum states.
  • Demonstrated how combinatorial tools can effectively reveal hidden correlation structures.
  • Provided concrete examples showcasing the practical application of the proposed approach.

Conclusions:

  • Combinatorial methods offer a feasible pathway to understanding complex correlations in large quantum states.
  • The proposed approach significantly simplifies the analysis of quantum state separability and correlations.
  • This work opens new avenues for exploring quantum many-body systems and quantum information processing.