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Related Concept Videos

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Determination of Crystal Structures01:29

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In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...

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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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Published on: November 1, 2013

Long-range quantum gates using dipolar crystals.

Hendrik Weimer1, Norman Y Yao, Chris R Laumann

  • 1Physics Department, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA. hweimer@cfa.harvard.edu

Physical Review Letters
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

We introduce dipolar spin chains for long-range quantum logic, enabling high-fidelity qubit coupling. This method is robust against imperfections and suitable for various quantum systems.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Achieving long-range quantum logic is crucial for scalable quantum computing.
  • Existing methods face challenges with fidelity and scalability.

Purpose of the Study:

  • To propose and analyze a novel method for enabling long-range quantum logic using dipolar spin chains.
  • To demonstrate the robustness and feasibility of this approach for quantum gate operations.

Main Methods:

  • Adiabatically following the ground state of a dipolar spin chain across a phase transition.
  • Analyzing the system's response to disorder and deriving scaling relations for fidelity.

Main Results:

  • An effective interaction between remote qubits is established via the phase transition.
  • The proposed quantum gate exhibits high robustness against realistic imperfections.
  • Scaling relations indicate the potential for high-fidelity qubit coupling.

Conclusions:

  • Dipolar spin chains offer a promising platform for robust, long-range quantum logic.
  • The method is experimentally viable in systems like ultracold Rydberg atoms and nitrogen vacancy centers.