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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

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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 Uncertainty Principle04:08

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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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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Propagation of Uncertainty from Systematic Error01:10

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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Quantum Numbers02:43

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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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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Quantum computers take step toward reliability.

Adrian Cho

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    This summary is machine-generated.

    Google's quantum error-correction scheme demonstrates improved performance with increased scale. Larger systems show enhanced fidelity, a crucial factor for fault-tolerant quantum computing.

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    Area of Science:

    • Quantum computing
    • Error correction codes

    Background:

    • Developing robust quantum error correction is essential for building scalable, fault-tolerant quantum computers.
    • Previous schemes faced challenges in maintaining high fidelity as system size increased.

    Discussion:

    • This study investigates Google's novel error-correction scheme, analyzing its performance scaling with system size.
    • The results indicate a positive correlation between the size of the error-correction code and its effectiveness.

    Key Insights:

    • Google's quantum error-correction approach shows improved efficacy as the code size grows.
    • Larger codes lead to reduced logical error rates, surpassing theoretical expectations for certain parameters.

    Outlook:

    • This scalable error-correction strategy could accelerate the development of practical quantum computers.
    • Further research will focus on optimizing code parameters and implementing these larger codes on advanced quantum hardware.