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

Classification of Systems-II01:31

Classification of Systems-II

198
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
198
Basic Operations on Signals01:22

Basic Operations on Signals

486
Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
Time Reversal mirrors a continuous-time signal about the vertical axis at t=0. This is achieved by substituting t with −t. For example, if a signal x(t) is considered, the time-reversed signal is x(−t). This operation can be graphically represented, showing the mirrored signal.
486
Basic Continuous Time Signals01:22

Basic Continuous Time Signals

264
Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
264
Properties of the z-Transform II01:16

Properties of the z-Transform II

161
The property of Accumulation in signal processing is derived by analyzing the accumulated sum of a discrete-time signal and using the time-shifting property to determine its z-transform. This principle reveals that the z-transform of the summed signal is related to the z-transform of the original signal by a multiplicative factor.
Moreover, the convolution property indicates that the convolution of two signals in the time domain corresponds to the product of their z-transforms in the frequency...
161
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

473
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
473
State Space Representation01:27

State Space Representation

255
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...
255

You might also read

Related Articles

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

Sort by
Same author

Predictors of surgical retreatment following Rezūm water vapor therapy: a multi-center real-world cohort study.

World journal of urology·2026
Same author

Pyriphenone modification of glutaraldehyde pretreated bovine pericardium mitigates advanced glycation end products, calcification, and platelet adhesion.

Acta biomaterialia·2026
Same author

Redefining clinical success in minimally invasive surgery for BPH: A composite endpoint integrating ejaculatory function, urinary improvement, and safety metrics.

Urologia·2026
Same author

[Drones and CBRN emergency management: operational perspectives and integrated training models for health response.]

Recenti progressi in medicina·2026
Same author

Molecular and cellular adaptations to extended hypothermic oxygenated perfusion in donation-after-circulatory-death hearts in a porcine model.

Frontiers in cardiovascular medicine·2026
Same author

Outcomes of Rezūm therapy in young men: A multi-center study.

Urologia·2026
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: Aug 11, 2025

Observing the Transformation of Bodily Self-consciousness in the Squeeze-machine Experiment
07:20

Observing the Transformation of Bodily Self-consciousness in the Squeeze-machine Experiment

Published on: March 8, 2019

13.6K

Asymptotic State Transformations of Continuous Variable Resources.

Giovanni Ferrari1,2, Ludovico Lami2, Thomas Theurer2

  • 1Dipartimento di Fisica e Astronomia Galileo Galilei, Università degli studi di Padova, Via Marzolo 8, 35131 Padua, Italy.

Communications in Mathematical Physics
|February 8, 2023
PubMed
Summary
This summary is machine-generated.

We developed new methods to bound quantum state transformation rates in continuous variable quantum resource theories. These techniques simplify calculations for optical nonclassicality, entanglement, and quantum thermodynamics.

More Related Videos

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K
Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
07:26

Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER

Published on: May 19, 2019

12.1K

Related Experiment Videos

Last Updated: Aug 11, 2025

Observing the Transformation of Bodily Self-consciousness in the Squeeze-machine Experiment
07:20

Observing the Transformation of Bodily Self-consciousness in the Squeeze-machine Experiment

Published on: March 8, 2019

13.6K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K
Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
07:26

Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER

Published on: May 19, 2019

12.1K

Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Thermodynamics

Background:

  • Quantum resource theories quantify the potential of quantum states for specific tasks.
  • Asymptotic state transformations are crucial for understanding resource interconversion.
  • Traditional continuity definitions are problematic for infinite-dimensional quantum systems.

Purpose of the Study:

  • To establish a new framework for bounding asymptotic state transformation rates in continuous variable quantum resource theories.
  • To remove the reliance on asymptotic continuity for infinite-dimensional systems.
  • To apply these findings to specific quantum resource theories.

Main Methods:

  • Proving that lower semicontinuity and strong superadditivity of monotones bound transformation rates.
  • Developing a variational expression for the measured relative entropy of nonclassicality.
  • Applying these methods to optical nonclassicality, entanglement, and quantum thermodynamics.

Main Results:

  • Monotones with lower semicontinuity and strong superadditivity provide bounds on asymptotic transformation rates.
  • The measured relative entropy of nonclassicality is proven to be lower semicontinuous and strongly superadditive.
  • Computable upper bounds on transformation rates are derived, applicable to linear optical elements.

Conclusions:

  • The new framework simplifies the analysis of quantum state transformations in infinite dimensions.
  • The results provide practical tools for calculating resource interconversion rates.
  • Applications include cat state manipulation and noisy Fock state purification.