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

Inertia Tensor01:24

Inertia Tensor

1.4K
The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
1.4K
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

547
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
547
State Space Representation01:27

State Space Representation

741
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
741
Transformers in Distribution System01:27

Transformers in Distribution System

638
Transformers in distribution systems can be broadly categorized into distribution substation transformers and other distribution transformers. They are crucial for stepping down high transmission voltages to levels suitable for distribution and end-user applications.
Distribution substation transformers come in various ratings and typically use mineral oil for insulation and cooling. To prevent moisture and air from entering the oil, some transformers use an inert gas like nitrogen to fill the...
638
Survival Tree01:19

Survival Tree

502
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a...
502
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

508
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
508

You might also read

Related Articles

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

Sort by
Same author

Dynamical Topological Quantum Phase Transitions in Nonintegrable Models.

Physical review letters·2019
Same author

Imaging the electronic Wigner crystal in one dimension.

Science (New York, N.Y.)·2019
Same author

Renormalization Group Flows of Hamiltonians Using Tensor Networks.

Physical review letters·2017
Same author

Fermionic Orbital Optimization in Tensor Network States.

Physical review letters·2016
Same author

Shadows of anyons and the entanglement structure of topological phases.

Nature communications·2015
Same author

On the calculation of complete dissociation curves of closed-shell pseudo-onedimensional systems via the complete active space method of increments.

The Journal of chemical physics·2015
Same journal

Nuclear Gradients from Auxiliary-Field Quantum Monte Carlo and Their Applications in ML-Driven Geometry Optimization and Transition State Search.

Journal of chemical theory and computation·2026
Same journal

Correction to "Cluster-in-Molecule Local Correlation Method with an Accurate Distant Pair Correction for Large Systems".

Journal of chemical theory and computation·2026
Same journal

Machine-Learned Force Fields for Lattice Dynamics at Coupled-Cluster Level Accuracy.

Journal of chemical theory and computation·2026
Same journal

Systematic Molecularity-Dependent Entropy Errors in Continuum/RRHO Solution Thermochemistry: Origin and Correction.

Journal of chemical theory and computation·2026
Same journal

After 100 Years of Quantum Mechanics: Toward a Constructive Observation-Centered Perspective.

Journal of chemical theory and computation·2026
Same journal

Sample-Based Quantum Diagonalization Methods for Modeling the Photochemistry of Diazirine and Diazo Compounds.

Journal of chemical theory and computation·2026
See all related articles

Related Experiment Video

Updated: Apr 15, 2026

Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps
11:52

Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps

Published on: February 9, 2017

6.6K

Tree Tensor Network State with Variable Tensor Order: An Efficient Multireference Method for Strongly Correlated

V Murg, F Verstraete, R Schneider

    Journal of Chemical Theory and Computation
    |April 7, 2015
    PubMed
    Summary
    This summary is machine-generated.

    The tree-tensor-network-state (TTNS) method offers a more efficient way to approximate quantum chemistry wave functions than matrix product states. This novel approach, utilizing variable tensor orders, excels in handling complex multireference problems with high entanglement.

    Related Experiment Videos

    Last Updated: Apr 15, 2026

    Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps
    11:52

    Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps

    Published on: February 9, 2017

    6.6K

    Area of Science:

    • Quantum Chemistry
    • Computational Physics
    • Theoretical Chemistry

    Background:

    • Matrix Product States (MPS) approximate quantum wave functions using a 1D tensor network.
    • Complete Active Space Configuration Interaction (CAS-CI) is computationally expensive for strongly correlated systems.
    • Existing methods struggle with efficiently representing entanglement in multireference problems.

    Purpose of the Study:

    • To investigate the Tree-Tensor-Network-State (TTNS) method with variable tensor orders for quantum chemistry.
    • To develop an algorithm for optimizing TTNS topology using quantum information theory.
    • To demonstrate the performance of TTNS for multireference problems and entanglement localization.

    Main Methods:

    • Developed a Tree-Tensor-Network-State (TTNS) ansatz, a generalization of MPS with a tree-like orbital arrangement.
    • Designed a novel algorithm to optimize TTNS topology based on quantum entanglement.
    • Applied TTNS to study the ionic-neutral avoided crossing of LiF.

    Main Results:

    • TTNS offers computational advantages due to logarithmic scaling of orbital distances in the tree structure.
    • The TTNS method is well-suited for multireference problems with highly correlated orbitals.
    • Demonstrated superior performance of TTNS on the LiF avoided crossing, localizing it using ground-state entanglement.

    Conclusions:

    • TTNS provides a more efficient and scalable approach for approximating CAS-CI wave functions compared to MPS.
    • The developed TTNS optimization algorithm enhances its applicability to complex quantum systems.
    • Ground-state properties, specifically one-orbital entanglement, can effectively localize avoided crossings, simplifying analysis.