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Related Concept Videos

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

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

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...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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,...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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...
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...

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Related Experiment Videos

Molecular prototypes for spin-based CNOT and SWAP quantum gates.

F Luis1, A Repollés, M J Martínez-Pérez

  • 1Instituto de Ciencia de Materiales de Aragón (ICMA), CSIC-Universidad de Zaragoza, E-50009 Zaragoza, Spain. fluis@unizar.es

Physical Review Letters
|October 27, 2011
PubMed
Summary

Chemically engineered molecular clusters with terbium (Tb3+) spin qubits enable a universal CNOT quantum gate. Researchers also propose a SWAP gate, with experiments confirming these quantum transitions are possible.

Related Experiment Videos

Area of Science:

  • Quantum Information Science
  • Molecular Quantum Computing
  • Quantum Spin Systems

Background:

  • Developing molecular systems for quantum computing is crucial for miniaturization and scalability.
  • Terbium (Tb3+) ions offer unique magnetic properties suitable for spin qubit applications.
  • Achieving magnetic inequivalence in coupled spin qubits is a key challenge for quantum gate implementation.

Purpose of the Study:

  • To engineer structural asymmetry in dinuclear terbium (Tb2) molecular clusters.
  • To demonstrate the potential for creating a universal CNOT quantum gate using these engineered molecules.
  • To explore the feasibility of implementing a SWAP gate within the same molecular system.

Main Methods:

  • Chemical engineering of [Tb2] molecular clusters to induce structural asymmetry.
  • Theoretical analysis of the magnetic energy level spectrum of the engineered Tb3+ spin qubits.
  • Electronic paramagnetic resonance (EPR) experiments to verify quantum transition possibilities.

Main Results:

  • Structural asymmetry successfully rendered the two Tb3+ spin qubits magnetically inequivalent.
  • The resulting magnetic energy level spectrum fulfills the requirements for a universal CNOT quantum gate.
  • EPR experiments confirmed that CNOT and SWAP quantum transitions are not forbidden in the system.

Conclusions:

  • Chemically engineered [Tb2] molecular clusters provide a viable platform for molecular quantum gates.
  • The demonstrated magnetic inequivalence is key to realizing CNOT gates at the molecular level.
  • The findings pave the way for developing molecule-based quantum processors utilizing SWAP and CNOT gates.