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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

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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The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
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Related Experiment Videos

Fault-tolerant holonomic quantum computation.

Ognyan Oreshkov1, Todd A Brun, Daniel A Lidar

  • 1Department of Physics, Center for Quantum Information Science & Technology, University of Southern California, Los Angeles, California 90089, USA.

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

We demonstrate combining holonomic quantum computation with fault-tolerant quantum error correction. This breakthrough makes holonomic quantum computation scalable and robust, matching other quantum computing models.

Related Experiment Videos

Area of Science:

  • Quantum Computing
  • Quantum Information Science

Background:

  • Holonomic quantum computation (HQC) offers inherent robustness due to its geometric principles.
  • Scalability has been a key challenge for HQC, limiting its practical applications.

Purpose of the Study:

  • To integrate fault-tolerant quantum error correction with holonomic quantum computation.
  • To establish the scalability of HQC and demonstrate its potential as a leading quantum computing model.

Main Methods:

  • Developing a theoretical framework for combining HQC with established quantum error correction codes.
  • Analyzing the performance and resource requirements of the integrated approach.

Main Results:

  • Successful integration of fault-tolerant quantum error correction into HQC.
  • Demonstration of HQC's scalability, enabling complex quantum computations.
  • Preservation of HQC's inherent robustness through the integration.

Conclusions:

  • The combination of HQC and fault-tolerant quantum error correction overcomes previous scalability limitations.
  • HQC is now on par with other quantum computation models regarding scalability and robustness.
  • This advancement paves the way for practical, large-scale quantum computers utilizing geometric principles.