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Related Concept Videos

The Uncertainty Principle04:08

The Uncertainty Principle

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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...
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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
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Time and frequency -Domain Interpretation of Phase-lead Control01:24

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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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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.
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Related Experiment Video

Updated: Aug 23, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Nonclassicality and entanglement as a quantifiable measure for phase estimation.

Chao-Ping Wei

    Optics Express
    |October 27, 2022
    PubMed
    Summary

    We developed a new method to measure quantum nonclassicality in two-mode states. This research reveals that nonclassicality and entanglement are crucial, but not essential, for enhancing interferometer phase sensitivity.

    Area of Science:

    • Quantum optics
    • Quantum information science

    Background:

    • Quantifying nonclassicality is essential for understanding quantum states.
    • Interferometers are key tools for precision measurements, with phase sensitivity being a critical parameter.

    Purpose of the Study:

    • To develop a method for measuring nonclassicality in two-mode quantum states.
    • To investigate the role of nonclassicality and entanglement in enhancing phase sensitivity in interferometers.
    • To propose and analyze new linear and nonlinear interferometer schemes.

    Main Methods:

    • Extending single-mode nonclassicality quantification to two-mode states.
    • Analyzing nonclassicality and entanglement properties of various quantum states.
    • Developing a nonlinear interferometer (NI) scheme using integration within an ordered product of operators (IWOP).

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    Last Updated: Aug 23, 2025

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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  • Utilizing parity detection for phase estimation.

    • Main Results:

    • A new approach to measure two-mode quantum nonclassicality was established.
    • The study determined optimal phase estimation for entangled coherent states (ecs).
    • Nonclassicality and entanglement were found to be crucial, though not necessary, for improving interferometer phase sensitivity.

    Conclusions:

    • Nonclassicality and entanglement significantly influence phase sensitivity in interferometers.
    • The proposed linear and nonlinear interferometer schemes offer new avenues for quantum metrology.
    • The findings provide valuable insights into the fundamental properties of quantum states and their application in precision measurement.