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The Quantum-Mechanical Model of an Atom

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. Schrödinger...
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Updated: May 20, 2026

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
14:58

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping

Published on: June 3, 2015

Physical implementation of protected qubits.

B Douçot1, L B Ioffe

  • 1Laboratoire de Physique Théorique et Hautes Énergies, CNRS UMR 7589 et Université Paris 6, Boîte 126, 4 place Jussieu, 75252 Paris Cedex 05, France.

Reports on Progress in Physics. Physical Society (Great Britain)
|July 14, 2012
PubMed
Summary
This summary is machine-generated.

Topological protection in spin models offers a Hamiltonian approach to quantum error correction. This method shields quantum states from environmental noise, enabling fault-tolerant quantum computation in superconducting circuits.

Related Experiment Videos

Last Updated: May 20, 2026

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
14:58

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping

Published on: June 3, 2015

Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Topological protection safeguards quantum states by encoding information in robust, non-local properties.
  • Quantum error correction aims to protect quantum information from decoherence and errors.

Purpose of the Study:

  • To explore the connection between topological protection in spin models and quantum error correction principles.
  • To demonstrate how topological protection can be realized via Hamiltonians for practical quantum computing.

Main Methods:

  • Reviewing the theoretical framework of topological protection in spin systems.
  • Analyzing the relationship between topological protection and Hamiltonian-based error correction.
  • Investigating superconducting array implementations for topological quantum states.

Main Results:

  • Topological protection is shown to be a Hamiltonian realization of quantum error correction.
  • Environmental noise effects are suppressed to higher orders of perturbation theory for protected codes.
  • Two dual superconducting array realizations are presented, utilizing Cooper pair number parity and flux number parity.

Conclusions:

  • Superconducting circuits can implement topological protection for quantum states.
  • The discussed realizations support fault-tolerant operations necessary for universal quantum computation.