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Related Concept Videos

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
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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...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Scalable quantum computing based on stationary spin qubits in coupled quantum dots inside double-sided optical

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Area of Science:

  • Quantum Computing
  • Cavity Quantum Electrodynamics
  • Solid-State Quantum Systems

Background:

  • Quantum logic gates are fundamental to quantum computing.
  • Electron-spin qubits offer a promising platform for scalable quantum computation.
  • Optical microcavities can enhance light-matter interactions for quantum control.

Purpose of the Study:

  • To investigate the feasibility of scalable and compact quantum computing using stationary electron-spin qubits.
  • To design quantum circuits for universal and deterministic quantum gates.
  • To leverage giant optical circular birefringence in microcavities for qubit manipulation.

Main Methods:

  • Utilizing cavity quantum electrodynamics to induce optical circular birefringence.
  • Designing compact quantum circuits for electron-spin systems.
  • Implementing two-qubit CNOT and three-qubit Toffoli gates without additional qubits.

Main Results:

  • Demonstrated compact and economical quantum circuits for universal quantum gates.
  • Achieved stationary electron-spin qubits in solid-state systems.
  • Showcased good scalability and feasibility with current experimental technology.

Conclusions:

  • The proposed approach offers a scalable and compact solid-state quantum computing architecture.
  • High fidelity and efficiency are achievable with optimized cavity decay parameters.
  • This work presents an attractive pathway towards practical quantum computation.