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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
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Error is the deviation of the obtained result from the true, expected value or the estimated central value. Errors are expressed in absolute or relative terms.
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When analyzing a single line-to-ground fault from phase A to ground at a three-phase bus, it is important to consider the fault impedance. This impedance is zero for a bolted fault, equal to the arc impedance for an arcing fault, and represents the total fault impedance for a transmission-line insulator flashover. To derive sequence and phase currents, fault conditions are translated from the phase domain to the sequence domain.
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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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In the case of systematic errors, the sources can be identified, and the errors can be subsequently minimized by addressing these sources. According to the source, systematic errors can be divided into sampling, instrumental, methodological, and personal errors.
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Related Experiment Video

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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Fault-tolerant detection of a quantum error.

S Rosenblum1,2, P Reinhold3,2, M Mirrahimi2,4

  • 1Departments of Applied Physics and Physics, Yale University, New Haven, CT 06511, USA. serge.rosenblum@yale.edu.

Science (New York, N.Y.)
|July 21, 2018
PubMed
Summary
This summary is machine-generated.

This study presents a fault-tolerant method to prevent errors from spreading from ancilla systems to logical qubits in quantum error correction. This technique improves quantum computation reliability by suppressing ancilla errors and increasing qubit coherence.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Quantum error correction relies on ancilla systems for error detection.
  • Errors in ancilla systems can propagate to logical qubits, corrupting quantum information.

Purpose of the Study:

  • To demonstrate a fault-tolerant error-detection scheme to suppress ancilla error propagation.
  • To enhance the performance and reliability of quantum computations.

Main Methods:

  • Utilized a hardware-efficient approach with a single multilevel transmon ancilla and a cavity-encoded logical qubit.
  • Engineered qubit-ancilla interaction using an off-resonant sideband drive.

Main Results:

  • Suppressed the spreading of ancilla errors by a factor of 5 while maintaining assignment fidelity.
  • Prevented ancilla excitation propagation, increasing logical qubit dephasing time by an order of magnitude.

Conclusions:

  • Hardware-efficient strategies leveraging system-specific error models are crucial for advancing fault-tolerant quantum computation.
  • The demonstrated scheme offers a practical path toward robust quantum information processing.