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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 mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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High-fidelity parallel entangling gates on a neutral-atom quantum computer.

Simon J Evered1, Dolev Bluvstein1, Marcin Kalinowski1

  • 1Department of Physics, Harvard University, Cambridge, MA, USA.

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Summary
This summary is machine-generated.

Researchers achieved 99.5% fidelity for two-qubit entangling gates in neutral-atom quantum computing, a critical step for scalable quantum information processing and error correction.

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Area of Science:

  • Quantum Information Science
  • Atomic Physics
  • Quantum Computing

Background:

  • Scalable, low-error quantum operations are essential for quantum information processing.
  • Neutral-atom arrays offer a promising platform with high qubit counts and reconfigurable connectivity.
  • Reducing errors in entangling gates mediated by Rydberg interactions remains a key challenge.

Purpose of the Study:

  • To realize high-fidelity two-qubit entangling gates in neutral-atom arrays.
  • To surpass the error correction threshold using these gates.
  • To demonstrate the scalability and applicability of the method for multi-qubit gates.

Main Methods:

  • Utilized fast, single-pulse gates optimized via optimal control.
  • Employed atomic dark states to minimize scattering errors.
  • Improved Rydberg excitation and atom cooling techniques.
  • Performed parallel gate operations on up to 60 atoms.

Main Results:

  • Achieved 99.5% fidelity for two-qubit entangling gates.
  • Demonstrated parallel gate operations on 60 atoms, exceeding the surface-code threshold.
  • Successfully realized low-error three-qubit gates.
  • Characterized physical error sources and validated fidelity through repeated gate applications.

Conclusions:

  • Developed a method for high-fidelity entangling gates in neutral-atom systems.
  • The achieved fidelity paves the way for scalable quantum computing and error correction.
  • The technique is generalizable to multi-qubit gates, enabling complex quantum algorithms and simulations.