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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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Updated: Jun 14, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Cluster-state quantum computing enhanced by high-fidelity generalized measurements.

D N Biggerstaff1, R Kaltenbaek, D R Hamel

  • 1Institute for Quantum Computing and Department of Physics & Astronomy, University of Waterloo, Waterloo, Canada, N2L 3G1.

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

Researchers enhanced quantum computing power using generalized quantum measurements (POVMs) in cluster states. This technique achieved high fidelity for three-qubit computations, showing promise for fault-tolerant quantum computing.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Last Updated: Jun 14, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

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Published on: May 30, 2014

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Photonic Quantum Technologies

Background:

  • Cluster states are a key resource for measurement-based quantum computation.
  • Projective measurements in cluster states can limit computational power.
  • Generalized quantum measurements (POVMs) offer potential for enhanced capabilities.

Purpose of the Study:

  • To introduce and implement a technique for extending quantum computational power of cluster states.
  • To experimentally demonstrate the technique using a tunable linear-optical POVM and feedforward.
  • To achieve arbitrary three-qubit cluster computation with high fidelity.

Main Methods:

  • Replacing projective measurements with generalized quantum measurements (POVMs) in cluster states.
  • Implementing a tunable linear-optical POVM on a two-qubit photonic cluster state.
  • Utilizing fast active feedforward for computation.

Main Results:

  • Successfully realized an arbitrary three-qubit cluster computation.
  • Achieved an average output fidelity of 0.9832+/-0.0002 over 206 computations.
  • Demonstrated a low error contribution from the POVM device and feedforward (O(10^-3)).

Conclusions:

  • The developed technique effectively extends the computational power of cluster states.
  • The experimental demonstration validates the feasibility and high performance of the POVM-based approach.
  • The achieved error rates are below recent thresholds for fault-tolerant cluster computing, indicating significant progress.