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

Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

6.5K
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
6.5K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.9K
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...
7.9K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

14.0K
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...
14.0K
Interference: Path Lengths01:10

Interference: Path Lengths

1.9K
Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
1.9K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

3.2K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.2K
Entropy02:39

Entropy

34.9K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
34.9K

You might also read

Related Articles

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

Sort by
Same author

Asymptotic quantification of entanglement with a single copy.

Nature physics·2026
Same author

Continuous-variable fault-tolerant quantum computation under general noise.

Nature communications·2026
Same author

Learning quantum states of continuous-variable systems.

Nature physics·2025
Same author

Distillable entanglement under dually non-entangling operations.

Nature communications·2024
Same author

Allogeneic hematopoietic cell transplantation for therapy-related myeloid neoplasms arising following treatment for multiple myeloma: a retrospective study on behalf of the Chronic Malignancies Working Party of the EBMT.

Bone marrow transplantation·2024
Same author

Does IPSS-R downstaging before transplantation improve the prognosis of patients with myelodysplastic neoplasms?

Blood·2024
Same journal

A Mathematical Analysis of IPT-DMFT.

Communications in mathematical physics·2026
Same journal

Asymptotics of Symmetric Polynomials: A Dynamical Point of View.

Communications in mathematical physics·2026
Same journal

Commuting Quantum Operations Factorise.

Communications in mathematical physics·2026
Same journal

On the Open TS/ST Correspondence.

Communications in mathematical physics·2026
Same journal

A Superintegrable Quantum Field Theory.

Communications in mathematical physics·2026
Same journal

High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence.

Communications in mathematical physics·2026
See all related articles

Related Experiment Video

Updated: Jan 16, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.9K

Entanglement Cost for Infinite-Dimensional Physical Systems.

Hayata Yamasaki1,2, Kohdai Kuroiwa3,4, Patrick Hayden5

  • 1Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 Japan.

Communications in Mathematical Physics
|October 6, 2025
PubMed
Summary
This summary is machine-generated.

We show that entanglement cost matches regularized entanglement of formation for infinite-dimensional quantum states with finite quantum entropy. This extends a key quantum information theory result to more complex systems.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.0K
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

8.9K

Related Experiment Videos

Last Updated: Jan 16, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.9K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.0K
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

8.9K

Area of Science:

  • Quantum Information Theory
  • Mathematical Physics

Background:

  • Entanglement cost and regularized entanglement of formation are crucial measures in quantum information.
  • Previous results were limited to finite-dimensional quantum systems.
  • Extending these concepts to infinite dimensions presents significant theoretical challenges.

Purpose of the Study:

  • To generalize the equality of entanglement cost and regularized entanglement of formation to infinite-dimensional quantum states.
  • To overcome limitations of conventional tools like strong typicality in infinite dimensions.
  • To fully characterize the entanglement cost for all infinite-dimensional physical systems.

Main Methods:

  • Development of a novel entanglement dilution protocol using local operations and one-way classical communication (LOCC) for infinite-dimensional states.
  • Application of weak and strong typicality principles iteratively.
  • Derivation of an integral representation for quantum entropy in infinite dimensions.
  • Utilizing alternative forms of monotonicity and asymptotic continuity for entanglement of formation.

Main Results:

  • Proved that entanglement cost equals regularized entanglement of formation for infinite-dimensional states with finite quantum entropy on at least one subsystem.
  • Established the optimality of the new entanglement dilution protocol.
  • Derived a new integral representation for quantum entropy.

Conclusions:

  • The study successfully extends a foundational result in quantum information theory to infinite-dimensional systems.
  • The developed methods provide new tools for analyzing entanglement in complex quantum systems.
  • This work offers a complete characterization of the entanglement cost for infinite-dimensional physical systems.