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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 first law of thermodynamics establishes that the change in internal energy of a system is given by ΔU = q + w, where q is the heat exchanged, and w is the work performed. For a perfect gas, both internal energy (U) and enthalpy (H) depend solely on temperature. Consequently, for any change of state, whether reversible or irreversible, the internal energy change is determined by integrating the heat capacity at constant volume, and the enthalpy change by integrating the heat capacity at...
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Related Experiment Video

Updated: May 25, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Compressed quantum simulation of the Ising model.

B Kraus1

  • 1Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria.

Physical Review Letters
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

Quantum computation compression enables simulating large 1D Ising models on smaller quantum computers. This allows observing quantum phase transitions with current technology.

Related Experiment Videos

Last Updated: May 25, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Jozsa et al. demonstrated circuit compression for universal quantum computation.
  • Simulating large quantum systems is computationally intensive.

Purpose of the Study:

  • To show how circuit compression can simulate 1D Ising models on smaller quantum computers.
  • To enable experimental observation of quantum phase transitions in large systems.

Main Methods:

  • Utilizing compressed universal quantum computation based on Jozsa et al.'s work.
  • Simulating the Ising interaction of a 1D chain of n qubits.
  • Implementing adiabatic evolution on a log(n) qubit system.
  • Measuring magnetization to detect quantum phase transitions.

Main Results:

  • A 1D Ising model with n qubits can be simulated on a log(n) qubit universal quantum computer.
  • Adiabatic evolution is feasible on the compressed system.
  • Quantum phase transitions are observable through magnetization measurements.

Conclusions:

  • Quantum computation compression offers a pathway to simulate large-scale quantum systems.
  • Experimental observation of quantum phase transitions in large systems is achievable with current technology.
  • This approach significantly reduces the qubit requirements for simulating complex quantum phenomena.