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

35.1K
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.
35.1K
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

1.6K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.6K
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

4.3K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
4.3K
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

709
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
709
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

93
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
93
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.7K
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.
42.7K

You might also read

Related Articles

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

Sort by
Same author

Using functional magnetic resonance imaging to evaluate an acute allograft rejection model in rats.

Magnetic resonance imaging·2019
Same author

QsvR integrates into quorum sensing circuit to control Vibrio parahaemolyticus virulence.

Environmental microbiology·2019
Same author

mi R -15a/15b Cluster Modulates Survival of Mesenchymal Stem Cells to Improve Its Therapeutic Efficacy of Myocardial Infarction.

Journal of the American Heart Association·2019
Same author

Retrospective analysis of Clostridium difficile infection in patients with ulcerative colitis in a tertiary hospital in China.

BMC gastroenterology·2019
Same author

CCCH-type zinc finger antiviral protein is specifically overexpressed in spleen in response to subgroup J avian leukosis virus infection in chicken.

Research in veterinary science·2018
Same author

Mapping Twisted Light into and out of a Photonic Chip.

Physical review letters·2018
Same journal

A 44-min periodic radio transient in a supernova remnant.

Science bulletin·2026
Same journal

Theoretical prediction of semiconductors by data driven light-element substitution in topological materials.

Science bulletin·2026
Same journal

Polymer-regulated crystallization enables scalable, high-performance heterostructured perovskite luminescent optoelectronic fibers.

Science bulletin·2026
Same journal

Global fits and the search for new physics: past, present and future.

Science bulletin·2026
Same journal

Pancancer pro-angiogenic atlas unravels tumor-educated pericyte-augmented anti-angiogenic resistance.

Science bulletin·2026
Same journal

Supramolecular nanomedicine reprogramming calcium ions metabolism for cancer cell PANoptosis and immunotherapy.

Science bulletin·2026
See all related articles

Related Experiment Video

Updated: Aug 14, 2025

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

632

TensorFlow solver for quantum PageRank in large-scale networks.

Hao Tang1, Ruoxi Shi2, Tian-Shen He2

  • 1Center for Integrated Quantum Information Technologies (IQIT), School of Physics and Astronomy and State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China; CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China.

Science Bulletin
|January 19, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient solver for quantum PageRank, significantly reducing computational demands for large networks. The new method enables faster and more memory-efficient quantum stochastic walk calculations for complex systems.

Keywords:
Lindblad master equationQuantum PageRankQuantum stochastic walkRunge-Kutta methodTensorFlow GPU parallel computing

More Related Videos

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

659
Evidence-based Knowledge Synthesis and Hypothesis Validation: Navigating Biomedical Knowledge Bases via Explainable AI and Agentic Systems
05:47

Evidence-based Knowledge Synthesis and Hypothesis Validation: Navigating Biomedical Knowledge Bases via Explainable AI and Agentic Systems

Published on: June 13, 2025

477

Related Experiment Videos

Last Updated: Aug 14, 2025

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

632
Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness
03:14

Augmenting Large Language Models via Vector Embeddings to Improve Domain-Specific Responsiveness

Published on: December 6, 2024

659
Evidence-based Knowledge Synthesis and Hypothesis Validation: Navigating Biomedical Knowledge Bases via Explainable AI and Agentic Systems
05:47

Evidence-based Knowledge Synthesis and Hypothesis Validation: Navigating Biomedical Knowledge Bases via Explainable AI and Agentic Systems

Published on: June 13, 2025

477

Area of Science:

  • Quantum Information Science
  • Computational Network Analysis
  • Algorithm Development

Background:

  • Google PageRank is a standard algorithm for network node significance.
  • Quantum PageRank, based on quantum stochastic walks, offers higher accuracy but faces computational challenges (O(N^4) complexity).
  • Existing quantum PageRank solvers require substantial memory and time for networks with over 150 nodes.

Purpose of the Study:

  • To develop an efficient solver for large-scale quantum PageRank and quantum stochastic walks.
  • To overcome the computational limitations of existing quantum PageRank algorithms.
  • To facilitate the application of quantum information principles to real-world network problems.

Main Methods:

  • Implemented an efficient solver using the Runge-Kutta method to reduce matrix dimensions to O(N^2).
  • Utilized TensorFlow for GPU parallel computing to accelerate calculations.
  • Tested performance on Erdös-Rényi graphs and real-world networks (USA airline network, glued tree).

Main Results:

  • The solver significantly reduces memory and time requirements compared to existing methods (e.g., QSWalk).
  • Demonstrated efficient computation on large graphs (6000 nodes in 223s, 1000 nodes in 3.6s).
  • Achieved substantial performance gains, reducing memory and time to 0.2% and 0.05% respectively for a 1000-node graph.

Conclusions:

  • The developed efficient solver dramatically enhances the feasibility of large-scale quantum PageRank and quantum stochastic walk computations.
  • This advancement paves the way for broader applications of quantum information theory in analyzing complex real-world networks.
  • The solver's efficiency makes quantum network analysis practical for significantly larger systems than previously possible.