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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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There is variation in the electrical conductivity of materials - metals, semiconductors, and insulators that are showcased with the help of the energy band diagrams.
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The alkali metal sodium (atomic number 11) has one more electron than the neon atom. This electron must go into the lowest-energy subshell available, the 3s orbital, giving a 1s22s22p63s1 configuration. The electrons occupying the outermost shell orbital(s) (highest value of n) are called valence electrons, and those occupying the inner shell orbitals are called core electrons. Since the core electron shells correspond to noble gas electron configurations, we can abbreviate electron...
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Atomic Nuclei: Nuclear Spin State Overview01:03

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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 one, the...
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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An 11-qubit atom processor in silicon.

Hermann Edlbauer1, Junliang Wang1, A M Saffat-Ee Huq1

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|December 17, 2025
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Summary
This summary is machine-generated.

This study demonstrates an 11-qubit quantum processor using phosphorus atoms in silicon. Researchers achieved high-fidelity entanglement across multiple nuclear spin registers, a key step for scalable quantum computing.

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Area of Science:

  • Quantum Computing
  • Atomic Physics
  • Solid-State Systems

Background:

  • Nuclear spins of phosphorus atoms in silicon offer long coherence times and high-fidelity control for quantum computing.
  • Coupling multiple phosphorus atoms via hyperfine interaction enables multi-qubit control and small-scale quantum algorithms.
  • Scaling quantum processors requires extending high-fidelity entanglement non-locally across multiple spin registers.

Purpose of the Study:

  • To develop and demonstrate an 11-qubit atom processor capable of high-fidelity, non-local entanglement.
  • To investigate the performance of interconnected nuclear spin registers for quantum information processing.
  • To advance towards fault-tolerant quantum computation using atom processors.

Main Methods:

  • Constructed an 11-qubit processor with two multi-nuclear spin registers linked by electron exchange interaction.
  • Advanced calibration and control protocols to achieve high-fidelity single- and multi-qubit gates.
  • Performed entanglement of local and non-local nuclear-spin pairs, including Greenberger-Horne-Zeilinger (GHZ) state generation.

Main Results:

  • Achieved single- and multi-qubit gate fidelities ranging from 99.10% to 99.99%.
  • Demonstrated state-of-the-art Bell-state fidelities up to 99.5% for various spin pair combinations.
  • Generated GHZ states and showed entanglement of up to eight nuclear spins.

Conclusions:

  • Established high-fidelity operation across interconnected nuclear spin registers.
  • Realized a significant milestone towards scalable, fault-tolerant quantum computation with atom processors.
  • The developed processor architecture and control methods are promising for future quantum technologies.