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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.
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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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Non-Gaussian Generalized Two-Mode Squeezing: Applications to Two-Ensemble Spin Squeezing and Beyond.

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This summary is machine-generated.

We generalized bosonic two-mode squeezed states for quantum information and metrology. These states enable Heisenberg-limited multiparameter estimation in finite-dimensional systems and can be prepared using dissipative processes.

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Area of Science:

  • Quantum Information Science
  • Quantum Metrology
  • Quantum Optics

Background:

  • Bosonic two-mode squeezed states are fundamental entangled Gaussian states.
  • These states are crucial for quantum information processing and precision measurements.

Purpose of the Study:

  • Generalize two-mode squeezed states to arbitrary bipartite quantum systems.
  • Enable simultaneous, Heisenberg-limited estimation of two independent parameters.
  • Develop a robust preparation scheme for these generalized states.

Main Methods:

  • Mathematical generalization of squeezed states.
  • Analysis of Markovian dissipative processes for state stabilization.
  • Application to ensembles of two-level atoms (spins).

Main Results:

  • Introduced generalized two-mode squeezed states for finite-dimensional systems.
  • Demonstrated simultaneous Heisenberg-limited estimation of two parameters.
  • Showed that these states can be stabilized by Markovian dissipation.
  • Defined a generalized two-mode spin squeezing beyond the Gaussian limit.

Conclusions:

  • Generalized squeezed states offer a powerful tool for multiparameter quantum estimation.
  • Dissipative preparation is experimentally feasible.
  • These findings advance quantum metrology and quantum information science.