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

The Uncertainty Principle04:08

The Uncertainty Principle

35.1K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
35.1K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

62.3K
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...
62.3K
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

1.6K
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
1.6K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

2.2K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
2.2K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

62.3K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
62.3K
Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

672
In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
672

You might also read

Related Articles

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

Sort by
Same author

Real-Time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm for Noisy Quantum Circuit Simulations.

Physical review letters·2026
Same author

Demonstration of high-fidelity entangled logical qubits using transmons.

Nature communications·2026
Same author

Benchmarking Quantum Gates and Circuits.

Chemical reviews·2025
Same author

Beating the Ramsey limit on sensing with deterministic qubit control.

Nature communications·2025
Same author

Qudit Dynamical Decoupling on a Superconducting Quantum Processor.

Physical review letters·2025
Same author

Maximizing Free Energy Gain.

Entropy (Basel, Switzerland)·2025

Related Experiment Video

Updated: Apr 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K

Quantum error suppression with commuting Hamiltonians: two local is too local.

Iman Marvian1, Daniel A Lidar2

  • 1Center for Quantum Information Science and and Technology, University of Southern California, Los Angeles, California 90089, USA and Department of Physics, University of Southern California, Los Angeles, California 90089, USA.

Physical Review Letters
|January 24, 2015
PubMed
Summary
This summary is machine-generated.

Two-local commuting Hamiltonians, proposed for quantum error suppression, fail due to short-range entanglement. Single-site perturbations cause decoherence, limiting their use in protecting quantum information.

More Related Videos

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

10.5K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

9.1K

Related Experiment Videos

Last Updated: Apr 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K
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

10.5K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

9.1K

Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computation

Background:

  • Quantum error suppression schemes encode information in gapped Hamiltonians.
  • Commuting terms in Hamiltonians are candidates for protecting quantum information.
  • Topological and adiabatic quantum computation utilize such protected states.

Purpose of the Study:

  • To investigate the efficacy of two-local commuting Hamiltonians for quantum error suppression.
  • To identify limitations of these Hamiltonians in protecting quantum information.

Main Methods:

  • Analysis of ground subspace properties under perturbations.
  • Application of a novel no-hiding theorem.
  • Investigation of decoherence mechanisms for natural noise models.

Main Results:

  • Two-local commuting Hamiltonians cannot be used for quantum error suppression.
  • Single-site perturbations induce degeneracy splitting in the ground subspace.
  • Coherence time is inversely proportional to degeneracy splitting for natural noise models.

Conclusions:

  • The short-range entanglement in the ground subspaces of two-local commuting Hamiltonians limits their utility for quantum error suppression.
  • These Hamiltonians are susceptible to decoherence from perturbations.