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

49.4K
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.
49.4K
Scientific Laws and Theories02:31

Scientific Laws and Theories

87.5K
Scientific Laws
87.5K
Social Exchange Theory02:06

Social Exchange Theory

39.5K
We have discussed why we form relationships, what attracts us to others, and different types of love. But what determines whether we are satisfied with and stay in a relationship? One theory that provides an explanation is social exchange theory. According to social exchange theory, we act as naïve economists in keeping a tally of the ratio of costs and benefits of forming and maintaining a relationship with others (Rusbult & Van Lange, 2003).
39.5K
Valence Bond Theory02:45

Valence Bond Theory

49.9K
Overview of Valence Bond Theory
49.9K
Band Theory02:35

Band Theory

17.1K
When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
17.1K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

56.7K
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.
56.7K

You might also read

Related Articles

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

Sort by
Same author

Oral semaglutide reduces diabetes-related distress in adults with type 2 diabetes mellitus switching from DPP-4 inhibitors. The DOORS prospective real-world Italian study.

Diabetes research and clinical practice·2026
Same author

Classification of Qubit Cellular Automata on Hypercubic Lattices.

Physical review letters·2025
Same author

PIONEER REAL Italy: Real-World Usage of Once-Daily Oral Semaglutide in Adults with Type 2 Diabetes.

Diabetes therapy : research, treatment and education of diabetes and related disorders·2025
Same author

A Perturbative Approach to the Solution of the Thirring Quantum Cellular Automaton.

Entropy (Basel, Switzerland)·2025
Same author

Under-Representation of Diverse Populations and Glycemic Outcomes in Major Clinical Trials of Automated Insulin Delivery.

Diabetes technology & therapeutics·2023
Same author

Evaluation of a Web-Based Simulation Tool for Self-Management Support in Type 1 Diabetes: A Pilot Study.

IEEE journal of biomedical and health informatics·2022
Same journal

Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.

Proceedings. Mathematical, physical, and engineering sciences·2025
Same journal

Inferring the shape of data: a probabilistic framework for analysing experiments in the natural sciences.

Proceedings. Mathematical, physical, and engineering sciences·2023
Same journal

The Elbert range of magnetostrophic convection. I. Linear theory.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Soft wetting with (a)symmetric Shuttleworth effect.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

The quantum theory of time: a calculus for q-numbers.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Integrable nonlinear evolution equations in three spatial dimensions.

Proceedings. Mathematical, physical, and engineering sciences·2022
See all related articles

Related Experiment Video

Updated: Jan 23, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K

Theoretical framework for higher-order quantum theory.

Alessandro Bisio1, Paolo Perinotti1

  • 1QUIT group, Dipartimento di Fisica, Università degli Studi di Pavia, and INFN, Gruppo IV, via Bassi 6, Pavia 27100, Italy.

Proceedings. Mathematical, Physical, and Engineering Sciences
|June 26, 2019
PubMed
Summary
This summary is machine-generated.

Higher-order quantum theory introduces transformations of transformations, creating a hierarchy of maps with unique features like indefinite causal structures. This generalized framework offers advantages over traditional quantum circuits and applies to various operational probabilistic theories.

Keywords:
causal structuresquantum computationquantum information

More Related Videos

Production and Targeting of Monovalent Quantum Dots
10:16

Production and Targeting of Monovalent Quantum Dots

Published on: October 23, 2014

26.0K
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

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

Published on: September 8, 2023

1.1K

Related Experiment Videos

Last Updated: Jan 23, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K
Production and Targeting of Monovalent Quantum Dots
10:16

Production and Targeting of Monovalent Quantum Dots

Published on: October 23, 2014

26.0K
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

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

Published on: September 8, 2023

1.1K

Area of Science:

  • Theoretical Physics
  • Quantum Information Science

Background:

  • Quantum theory utilizes channels and operations for transformations.
  • Existing frameworks may not capture complex quantum phenomena like indefinite causal structures.

Purpose of the Study:

  • To develop a general axiomatic framework for higher-order quantum theory.
  • To generalize quantum channels and operations recursively.
  • To analyze the unique features and advantages of higher-order quantum maps.

Main Methods:

  • Introduction of a hierarchy of higher-order quantum maps using a type-based formulation.
  • Derivation of complete positivity from general admissibility conditions.
  • Utilizing recursive characterization of convex sets to establish equivalence relations.

Main Results:

  • A general framework for analyzing higher-order quantum maps is established.
  • Features such as indefinite causal structures are shown to be inherent.
  • Provable advantages of higher-order maps over circuital maps are demonstrated.

Conclusions:

  • The developed framework provides a comprehensive approach to higher-order quantum theory.
  • The axiomatic system is independent of specific quantum theory structures, allowing broader applicability.
  • This generalization offers new insights into quantum information processing and theoretical physics.