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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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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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2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

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Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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The Pauli Exclusion Principle03:06

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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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Periodic Classification of the Elements04:00

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The periodic table arranges atoms based on increasing atomic number so that elements with the same chemical properties recur periodically. When their electron configurations are added to the table, a periodic recurrence of similar electron configurations in the outer shells of these elements is observed. Because they are in the outer shells of an atom, valence electrons play the most important role in chemical reactions. The outer electrons have the highest energy of the electrons in an atom...
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Atomic Orbitals02:44

Atomic Orbitals

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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Gradient Echo Quantum Memory in Warm Atomic Vapor

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Toward the first quantum simulation with quantum speedup.

Andrew M Childs1,2,3, Dmitri Maslov2,3,4, Yunseong Nam2,3,5

  • 1Department of Computer Science, University of Maryland, College Park, MD 20742; amchilds@umd.edu.

Proceedings of the National Academy of Sciences of the United States of America
|September 8, 2018
PubMed
Summary
This summary is machine-generated.

Researchers are developing practical quantum computing applications by simulating spin systems. They created efficient quantum circuits for simulation algorithms, making quantum computation more accessible for condensed matter physics.

Keywords:
quantum circuitsquantum computingquantum simulation

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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • Advancements in quantum computing necessitate identifying practical problems solvable with near-term devices.
  • Quantum simulation of spin systems offers a pathway to understanding complex condensed matter phenomena.

Purpose of the Study:

  • To identify a practical quantum computing problem requiring minimal resources.
  • To synthesize and optimize quantum circuits for simulating spin systems.

Main Methods:

  • Exploration of quantum simulation algorithms for spin systems.
  • Circuit synthesis and optimization for quantum algorithms.
  • Error bound analysis and performance evaluation.

Main Results:

  • Quantum signal processing identified as optimal for guaranteed performance.
  • Higher-order product formulas favored for empirical error tolerance.
  • Developed quantum circuits significantly smaller than those for factoring or quantum chemistry.

Conclusions:

  • Optimized quantum circuits for spin system simulation are feasible with current quantum hardware.
  • This research advances practical quantum computation for condensed matter applications.