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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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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Beyond-classical computation in quantum simulation.

Andrew D King1, Alberto Nocera2, Marek M Rams3

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Summary
This summary is machine-generated.

Superconducting quantum annealers can quickly generate accurate solutions to the Schrödinger equation, outperforming classical methods for complex problems. This demonstrates quantum computing

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Area of Science:

  • Quantum Computing
  • Computational Physics
  • Quantum Simulation

Background:

  • Classical computers face limitations in solving complex quantum mechanical problems.
  • Quantum annealers offer a potential pathway to overcome these computational barriers.

Purpose of the Study:

  • To demonstrate the capability of superconducting quantum annealing processors for solving the Schrödinger equation.
  • To compare the performance of quantum annealers against leading classical approximation methods.

Main Methods:

  • Utilizing superconducting quantum annealing processors to generate samples.
  • Analyzing the quench dynamics of spin glasses in various dimensions.
  • Comparing results with matrix-product-state, tensor network, and neural network approaches.

Main Results:

  • Quantum annealers rapidly produced samples in close agreement with Schrödinger equation solutions.
  • Area-law scaling of entanglement was observed in spin glass dynamics.
  • Classical methods (tensor networks, neural networks) could not match quantum annealer accuracy in a timely manner.

Conclusions:

  • Superconducting quantum annealers can efficiently solve problems intractable for classical computation.
  • Quantum annealers provide a practical tool for addressing significant scientific questions.
  • The findings support the potential of quantum computing for advancing scientific discovery.