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

Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

47.1K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
47.1K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

656
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
656
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

32.3K
sp3d and sp3d 2 Hybridization
32.3K
Gain01:15

Gain

181
Gain and phase shift are properties of linear circuits that describe the effect a circuit has on a sinusoidal input voltage or current. The circuit's behavior that contains reactive elements will depend on the frequency of the input sinusoid. As a result, it is observed that the gain and phase shift will all be frequency functions.
Gain:
Suppose Vin is the input and Vout is the output signal to a circuit.
181
State Space Representation01:27

State Space Representation

209
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...
209
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

958
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...
958

You might also read

Related Articles

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

Sort by
Same author

Adaptive Multi-Wave Sampling for Efficient Chart Validation.

Clinical epidemiology·2026
Same author

Magnetic hysteresis experiments performed on quantum annealers.

Science advances·2026
Same author

Analyzing associations and higher-order effects in multi-omics data with double machine learning.

bioRxiv : the preprint server for biology·2025
Same author

Quantum approximate multi-objective optimization.

Nature computational science·2025
Same author

A PKCη missense mutation enhances Golgi-localized signaling and is associated with recessively inherited familial Alzheimer's disease.

Science signaling·2025
Same author

On the analysis of metabolite quantitative trait loci: Impact of different data transformations and study designs.

Science advances·2025
See all related articles
  1. Home
  3. Initial State Encoding Via Reverse Quantum Annealing And H-gain Features.
  1. Home
  3. Initial State Encoding Via Reverse Quantum Annealing And H-gain Features.

Related Experiment Video

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

Initial State Encoding via Reverse Quantum Annealing and H-Gain Features.

Elijah Pelofske1, Georg Hahn2, Hristo Djidjev1,3

  • 1CCS-3 Information Sciences, Los Alamos National Laboratory, Los Alamos, NM 87545 USA.

IEEE Transactions on Quantum Engineering
|January 5, 2024

View abstract on PubMed

Summary
This summary is machine-generated.

This study explores reverse annealing (RA) and h-gain (HG) features on D-Wave quantum annealers to improve optimization solutions. The h-gain technique offers a viable alternative to reverse annealing for certain problems.

Keywords:
Anneal scheduleBayesian optimizationD-WaveIsing modelQUBOh-gain (HG)maximum cutquantum annealing (QA)reverse annealing (RA)

More Related Videos

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
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

9.6K

Related Experiment Videos

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K
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
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

9.6K

Area of Science:

  • Quantum Computing
  • Computational Optimization

Background:

  • D-Wave quantum annealers offer cloud access to quantum annealing for optimization.
  • Improving solution quality in quantum annealing is an active research area.

Purpose of the Study:

  • To investigate methods for enhancing quantum annealer solution quality by encoding initial states.
  • To compare the effectiveness of reverse annealing (RA) and h-gain (HG) features for initial state encoding.

Main Methods:

  • Exploration of D-Wave's reverse annealing (RA) feature for refining solutions.
  • Utilizing the h-gain (HG) feature to bias annealing from a specific initial state.
  • Development and testing of a hybrid RA-HG method and iterative application of both techniques.
  • Evaluation on combinatorial optimization problems like max-cut and max-clique, and on spin glasses using D-Wave hardware.

Main Results:

  • The h-gain (HG) feature is demonstrated as a viable alternative to RA for initial state encoding in quantum annealing.
  • Iterative application of RA and HG shows potential for monotonically improving solutions.
  • Performance of iterative RA and HG is analyzed on various problems and D-Wave hardware architectures (Chimera, Pegasus).

Conclusions:

  • Both RA and HG are effective for initial state encoding in quantum annealing.
  • Iterative application of these techniques can lead to progressively better solutions.
  • HG presents a promising alternative or complement to RA for optimizing problem-solving on quantum annealers.