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

Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.0K
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...
1.0K
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

833
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...
833
The Uncertainty Principle04:08

The Uncertainty Principle

23.7K
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...
23.7K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

43.0K
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.
43.0K
Bernoulli's Equation00:59

Bernoulli's Equation

10.9K
In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
10.9K
Uncertainty in Measurement: Reading Instruments02:46

Uncertainty in Measurement: Reading Instruments

41.0K
Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
41.0K

You might also read

Related Articles

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

Sort by
Same author

Glycemic variability and muscle loss in elderly type 2 diabetes: insights from continuous glucose monitoring and chest CT in 303 patients.

Frontiers in endocrinology·2026
Same author

Arabidopsis MYC2-ARF16-ABI5 complex functions as a transcriptional switch to regulate jasmonate, auxin, and abscisic acid signaling synergy.

Plant physiology·2026
Same author

Nitroxyl relieves acute kidney injury by suppressing SLC31A1-mediated cuproptosis in renal tubular epithelial cells.

Life sciences·2026
Same author

A prognostic exosome-related mRNAs risk signature correlates with the immune microenvironment in breast cancer.

Discover oncology·2026
Same author

<i>TIMP1</i> and <i>DPP4</i> Promote Tumor Progression by Regulating Lactate Metabolism in Papillary Thyroid Carcinoma.

Cancers·2026
Same author

Unveiling GDF-15: a new frontier in combating diabetic osteoporosis.

Frontiers in medicine·2026

Related Experiment Video

Updated: Sep 3, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.5K

Quantum channel measurement with local quantum Bernoulli noises.

Qi Han1, Yanan Han2, Yaxin Kou2

  • 1College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, Gansu, China. hanqi1978@nwnu.edu.cn.

Scientific Reports
|July 28, 2022
PubMed
Summary

This study reviews quantum Bernoulli noises and introduces quantum channel measurement. Researchers established a channel structure and proved its complete positivity for applications in quantum mutual entropy.

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

14.6K
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

9.1K

Related Experiment Videos

Last Updated: Sep 3, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.5K
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

14.6K
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

9.1K

Area of Science:

  • Quantum Information Science
  • Stochastic Processes
  • Quantum Computing

Background:

  • Quantum Bernoulli noises are crucial stochastic processes with significant physical relevance.
  • They are a key research focus within the field of quantum information.
  • Understanding these noises is essential for advancing quantum technologies.

Purpose of the Study:

  • To review local quantum Bernoulli noises and local quantum mutual entropy.
  • To introduce a novel quantum channel measurement technique utilizing local quantum Bernoulli noises.
  • To explore the application of this technique in quantifying quantum mutual entropy.

Main Methods:

  • Review of existing literature on quantum Bernoulli noises and mutual entropy.
  • Development of a quantum channel model incorporating local quantum Bernoulli noises.
  • Mathematical proof of the complete positivity of the proposed quantum channel.

Main Results:

  • A detailed review of local quantum Bernoulli noises and local quantum mutual entropy.
  • Introduction of a quantum channel measurement framework.
  • Demonstration of the channel's complete positivity.
  • Application of the channel to local quantum mutual entropy calculations.

Conclusions:

  • The proposed quantum channel measurement is mathematically sound, evidenced by its complete positivity.
  • This framework offers a new method for analyzing quantum channels and mutual entropy.
  • The findings contribute to the understanding and application of stochastic processes in quantum information.