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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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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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Particles in a solid are tightly packed together (fixed shape) and often arranged in a regular pattern; in a liquid, they are close together with no regular arrangement (no fixed shape); in a gas, they are far apart with no regular arrangement (no fixed shape). Particles in a solid vibrate about fixed positions (cannot flow) and do not generally move in relation to one another; in a liquid, they move past each other (can flow) but remain in essentially constant contact; in a gas, they move...
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Multiple Comparison Tests

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Multiple comparison test, abbreviated as MCT, is a post hoc analysis generally performed after comparing multiple samples with one or more tests. An MCT will help identify a significantly different sample among multiple samples or a factor among multiple factors.
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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
 
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Reaction Quotient...
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The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Cross-platform comparison of arbitrary quantum states.

D Zhu1,2,3,4, Z P Cian5,6,7, C Noel1,2,8,9,10

  • 1Joint Quantum Institute, University of Maryland, College Park, MD, 20742, USA.

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Validating quantum computers (QCs) is crucial for quantum advantage. This study compares QCs using randomized measurements, showing cross-platform state fidelity analysis offers insights into system performance.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science

Background:

  • Quantum computers (QCs) are nearing quantum advantage, necessitating robust performance validation methods.
  • Current validation often relies on specific algorithmic tasks, providing limited insight into generic QC performance.
  • Comparing results across different QCs offers a path toward reliable, generic validation.

Purpose of the Study:

  • To introduce and demonstrate a cross-platform comparison method for quantum computers.
  • To assess the validity and agreement of quantum computations across diverse QC platforms.
  • To analyze cross-platform state fidelities for a deeper understanding of QC systems.

Main Methods:

  • Executing identical quantum circuits on multiple, physically distinct quantum computing platforms.
  • Employing randomized and correlated measurement strategies for comprehensive data acquisition.
  • Analyzing the resulting data to compute and compare cross-platform state fidelities.

Main Results:

  • Demonstrated a method for comparing quantum computations across different physical QC platforms.
  • Obtained a wealth of information regarding the performance and agreement of QC systems.
  • Quantified cross-platform state fidelities, providing a metric for validation.

Conclusions:

  • Cross-platform comparison using randomized measurements is an effective approach for validating quantum computers.
  • State fidelity analysis across different QCs offers a generic validation strategy, akin to metrological standards.
  • This work contributes to establishing trust and reliability in the emerging era of quantum advantage.