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Semiconductors01:22

Semiconductors

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There is variation in the electrical conductivity of materials - metals, semiconductors, and insulators that are showcased with the help of the energy band diagrams.
Metals such as copper (Cu), zinc (Zn), or lead (Pb) have low resistivity and feature conduction bands that are either not fully occupied or overlap with the valence band, making a bandgap non-existent. This allows electrons in the highest energy levels of the valence band to easily transition to the conduction band upon gaining...
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Intrinsic semiconductors are highly pure materials with no impurities. At absolute zero, these semiconductors behave as perfect insulators because all the valence electrons are bound, and the conduction band is empty, disallowing electrical conduction. The Fermi level is a concept used to describe the probability of occupancy of energy levels by electrons at thermal equilibrium. In intrinsic semiconductors, the Fermi level is positioned at the midpoint of the energy gap at absolute zero. When...
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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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Operating semiconductor quantum processors with hopping spins.

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Summary
This summary is machine-generated.

Researchers developed a new quantum control method using spin hopping in quantum dots. This approach enables efficient qubit control with discrete signals, paving the way for scalable quantum hardware and error correction.

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Area of Science:

  • Quantum Computing
  • Solid-State Physics

Background:

  • Efficient qubit control is crucial for scalable quantum hardware.
  • Current resonant control methods face scalability challenges due to signal integration, cross-talk, and heating.

Purpose of the Study:

  • To demonstrate a novel quantum control method using engineered spin hopping between quantum dots.
  • To achieve high-fidelity quantum gates and explore the potential for quantum error correction.

Main Methods:

  • Engineered spin hopping between quantum dots with site-dependent spin quantization axes.
  • Demonstrated hopping-based quantum logic operations.
  • Statistically mapped coherence of a 10-quantum dot system to establish hopping spins as a tuning method.

Main Results:

  • Achieved single-qubit gate fidelities of 99.97%.
  • Obtained coherent shuttling fidelities of 99.992% per hop.
  • Reached a two-qubit gate fidelity of 99.3%, enabling predicted quantum error correction thresholds.

Conclusions:

  • Hopping-based quantum control offers a scalable alternative to resonant control.
  • Dense quantum dot arrays with sparse occupation are viable for high-connectivity qubit registers.
  • This method facilitates efficient quantum information processing and hardware development.