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Related Concept Videos

First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.
Intrinsically Disordered Proteins02:18

Intrinsically Disordered Proteins

Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

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Related Experiment Video

Updated: May 23, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Dynamics of disordered quantum systems with two- and three-dimensional tensor networks.

Joseph Tindall1, Antonio Francesco Mello1,2, Matthew Fishman1

  • 1Center for Computational Quantum Physics, Flatiron Institute, New York, NY, USA.

Science (New York, N.Y.)
|May 21, 2026
PubMed
Summary

Quantum annealing experiments on Ising spin glasses were claimed to be beyond classical reach. Tensor network simulations using belief propagation (BP) achieved state-of-the-art accuracy, demonstrating classical scalability for quantum physics verification.

Related Experiment Videos

Last Updated: May 23, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

  • Quantum Physics
  • Computational Science
  • Condensed Matter Physics

Background:

  • Recent quantum annealing experiments on D-Wave's Advantage2 system simulated Ising spin glasses.
  • These experiments were claimed to surpass classical computational capabilities.

Purpose of the Study:

  • To investigate the classical computational feasibility of simulating large-scale quantum annealing dynamics.
  • To verify universal Kibble-Zurek physics on systems with hundreds of qubits.

Main Methods:

  • Simulated Ising spin-glass models using lattice-specific tensor networks.
  • Employed belief propagation (BP) to manage entanglement during time evolution.
  • Utilized advanced BP variants for extracting expectation values.

Main Results:

  • Achieved state-of-the-art accuracies with modest computational resources.
  • Demonstrated scalability of the tensor network approach in both 2D and 3D.
  • Verified universal Kibble-Zurek physics on systems involving hundreds of qubits.

Conclusions:

  • Classical tensor network simulations, enhanced by belief propagation, can accurately model quantum annealing dynamics.
  • The computational reach of classical methods for quantum spin glasses is more extensive than previously claimed.
  • This approach provides a scalable pathway for verifying fundamental quantum phenomena.