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

31.5K
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...
31.5K
Uncertainty in Measurement: Reading Instruments02:46

Uncertainty in Measurement: Reading Instruments

51.0K
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...
51.0K
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

4.3K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
4.3K
Uncertainty: Overview00:59

Uncertainty: Overview

1.7K
In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
1.7K
What is Energy?04:10

What is Energy?

58.7K
The universe is composed of matter in different forms, and all forms of matter contain energy.  The different forms of energy on Earth originate from the Sun — the ultimate energy source. Plants capture light energy from the Sun, and, via the process of photosynthesis, convert it into chemical energy. This stored energy from plants can be harnessed in many ways. For example, eating plant products as food provides energy for our body to function, and burning wood or coal (fossilized...
58.7K
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

13.4K
The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
13.4K

You might also read

Related Articles

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

Sort by
Same author

Retrocausal Capacity of a Quantum Channel: Communicating through Noisy Closed Timelike Curves.

Physical review letters·2026
Same author

Quantum Stroboscopy for Time Measurements.

Physical review letters·2026
Same author

Thermodynamic computing system for AI applications.

Nature communications·2025
Same author

Extendibility limits quantum-secured communication and key distillation.

Reports on progress in physics. Physical Society (Great Britain)·2025
Same author

Maximizing Free Energy Gain.

Entropy (Basel, Switzerland)·2025
Same author

Author Correction: Quantum computational finance for martingale asset pricing in incomplete markets.

Scientific reports·2024
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Jan 27, 2026

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
10:22

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements

Published on: September 7, 2019

8.7K

Entropic Energy-Time Uncertainty Relation.

Patrick J Coles1, Vishal Katariya2, Seth Lloyd3,4

  • 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|April 2, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a new entropic energy-time uncertainty relation for quantum systems. It quantifies time uncertainty using quantum clocks and entropy, offering insights for quantum information processing.

More Related Videos

Experimental Research Examining How People Can Cope with Uncertainty Through Soft Haptic Sensations
09:07

Experimental Research Examining How People Can Cope with Uncertainty Through Soft Haptic Sensations

Published on: September 16, 2015

9.4K
Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
09:42

Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes

Published on: January 16, 2016

9.4K

Related Experiment Videos

Last Updated: Jan 27, 2026

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
10:22

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements

Published on: September 7, 2019

8.7K
Experimental Research Examining How People Can Cope with Uncertainty Through Soft Haptic Sensations
09:07

Experimental Research Examining How People Can Cope with Uncertainty Through Soft Haptic Sensations

Published on: September 16, 2015

9.4K
Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes
09:42

Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes

Published on: January 16, 2016

9.4K

Area of Science:

  • Quantum mechanics
  • Quantum foundations
  • Quantum information theory

Background:

  • Energy-time uncertainty is crucial in quantum mechanics and technology.
  • Standard uncertainty relations, like Robertson's, are not directly applicable to energy-time due to the absence of a time operator.

Purpose of the Study:

  • To develop a new entropic energy-time uncertainty relation applicable to general time-independent Hamiltonians.
  • To quantify time uncertainty using information-theoretic measures based on quantum clocks.
  • To explore the role of quantum memory in reducing energy-time uncertainty.

Main Methods:

  • Quantifying time uncertainty by assessing the ability to determine time from a quantum clock.
  • Utilizing entropy to measure the distinguishability of quantum clock states.
  • Formulating an entropic uncertainty relation for both discrete-time and continuous-time systems.

Main Results:

  • An entropic energy-time uncertainty relation is derived for time-independent Hamiltonians.
  • The derived relation is shown to be strong, allowing for uncertainty reduction via quantum memory.
  • The relation can be reinterpreted as a bound on the relative entropy of asymmetry.

Conclusions:

  • The novel entropic uncertainty relation provides a robust framework for understanding energy-time uncertainty.
  • The formulation highlights the operational relevance of entropy in quantum information processing.
  • The results are anticipated to have significant applications in quantum information processing and technologies.