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

Second-Order Circuits01:17

Second-Order Circuits

3.2K
Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
3.2K
First-Order Circuits01:15

First-Order Circuits

3.2K
First-order electrical circuits, which comprise resistors and a single energy storage element - either a capacitor or an inductor, are fundamental to many electronic systems. These circuits are governed by a first-order differential equation that describes the relationship between input and output signals.
One common example of a first-order circuit is the RC (resistor-capacitor) circuit. These circuits are used in relaxation oscillators such as neon lamp oscillator circuits. When voltage is...
3.2K
Network Function of a Circuit01:25

Network Function of a Circuit

564
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
564
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

915
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
915
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

56.2K
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.
56.2K
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.3K
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
1.3K

You might also read

Related Articles

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

Sort by
Same author

Hand mental rotation reaction time reflects motor imagery strategy and predicts changes in finger dexterity after motor imagery.

Neuroreport·2026
Same author

Consideration of the appropriate prospective ECG-triggered scan mode in dual-source CT angiography examinations for coronary diagnosis in children with high heart rate: a phantom study.

Physica medica : PM : an international journal devoted to the applications of physics to medicine and biology : official journal of the Italian Association of Biomedical Physics (AIFB)·2026
Same author

Data-driven simulator of multi-animal behavior with unknown dynamics via reinforcement learning.

iScience·2026
Same author

MNISQ: A Large-Scale Quantum Circuit Dataset for Machine Learning in the NISQ Era.

Scientific data·2026
Same author

Impact of Caregiver Burden and Care Recipients' Activities of Daily Living Abilities on Caregivers' Occupational Dysfunction.

Occupational therapy international·2026
Same author

Nutritional Assessment of Older Female Inpatients With Hip Fracture Using Phase Angle: Calculation of Cutoff Values and Minimal Detectable Change.

Orthopedic nursing·2026

Related Experiment Video

Updated: Jan 3, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.0K

Computational quantum-classical boundary of noisy commuting quantum circuits.

Keisuke Fujii1,2,3,4, Shuhei Tamate5,6

  • 1The Hakubi Center for Advanced Research, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8302, Japan.

Scientific Reports
|May 19, 2016
PubMed
Summary

We define a quantum-classical boundary based on classical simulation of quantum systems with decoherence. This boundary is sharply determined by noise rates, revealing complexity in quantum systems and enabling experimental verification.

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

10.2K
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

9.6K

Related Experiment Videos

Last Updated: Jan 3, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.0K
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

10.2K
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

9.6K

Area of Science:

  • Quantum Information Science
  • Computational Complexity Theory
  • Quantum Computing

Background:

  • Decoherence, arising from system-environment interactions, is traditionally viewed as the cause of the quantum-to-classical transition.
  • Understanding the boundary between quantum and classical computational power is crucial for advancing quantum technologies.

Purpose of the Study:

  • To establish a computational quantum-classical boundary based on the classical simulatability of quantum systems undergoing decoherence.
  • To investigate the role of noise in defining this boundary for commuting quantum circuits.

Main Methods:

  • Utilizing a postselection argument, strengthened by noise effects, to demonstrate the intractability of classical simulations for quantum systems.
  • Employing separable criteria in a projected-entangled-pair-state picture and the Gottesman-Knill theorem for mixed state Clifford circuits to show classical simulatability.
  • Analyzing commuting quantum circuits subjected to complete-positive-trace-preserving noise.

Main Results:

  • A sharp quantum-classical boundary is identified, precisely defined by the noise rate necessary for magic state distillability.
  • The study reveals a complexity landscape for controlled quantum systems based on noisy quantum dynamics.
  • Demonstrated classical simulatability for certain quantum circuits and intractability for others under decoherence.

Conclusions:

  • The noise rate for magic state distillability serves as a critical threshold for the quantum-classical boundary in decohered systems.
  • This work provides a framework for experimentally verifying quantum mechanics in regimes exceeding classical simulation capabilities.
  • The findings offer insights into the complexity and simulation limits of noisy quantum computations.