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Ampere-Maxwell's Law: Problem-Solving01:17

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
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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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The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion. 
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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Quantum generative adversarial learning in photonics.

Yizhi Wang, Shichuan Xue, Yaxuan Wang

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    |October 13, 2023
    PubMed
    Summary
    This summary is machine-generated.

    Quantum generative adversarial networks (QGANs) show promise for near-term quantum devices. Experiments demonstrate QGANs generate high-quality quantum data even with noise and defects, proving their feasibility on current quantum hardware.

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    Area of Science:

    • Quantum computing
    • Machine learning
    • Quantum photonics

    Background:

    • Quantum generative adversarial networks (QGANs) merge quantum computing and machine learning.
    • Investigating QGAN performance on noisy intermediate-scale quantum (NISQ) devices is crucial.
    • Understanding the impact of noise and defects on QGANs is essential for practical applications.

    Purpose of the Study:

    • To experimentally demonstrate a QGAN model in photonics for the first time.
    • To investigate the effects of noise and defects on QGAN performance.
    • To assess the feasibility of QGANs on NISQ-era quantum hardware.

    Main Methods:

    • Utilized a programmable silicon quantum photonic chip.
    • Implemented and tested a QGAN model on the photonic chip.
    • Introduced controlled noise and simulated defects in the QGAN components.

    Main Results:

    • Achieved high-fidelity quantum data generation (>90%).
    • Demonstrated robust QGAN performance despite significant damage to phase shifters (up to 50%).
    • Showed effective operation even with substantial phase noise (up to 0.04π).

    Conclusions:

    • QGANs can successfully perform learning tasks on near-term quantum devices.
    • The developed QGAN model exhibits resilience to noise and defects.
    • This work validates the potential of QGANs for practical implementation on NISQ hardware.