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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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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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Fabrication and Characterization of Superconducting Resonators
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Efficient estimation of resonant coupling between quantum systems.

Markku P V Stenberg1, Yuval R Sanders2, Frank K Wilhelm3

  • 1Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany.

Physical Review Letters
|December 6, 2014
PubMed
Summary
This summary is machine-generated.

We developed an efficient quantum system characterization method. It precisely estimates coupling strength and frequencies, outperforming standard approaches with exponentially decreasing error.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Characterization
  • Superconducting Quantum Systems

Background:

  • Accurate characterization of quantum systems is crucial for advancing quantum computation.
  • Existing methods for estimating parameters like coupling strength and transition frequencies often suffer from slow convergence and noise sensitivity.
  • Efficient and robust techniques are needed to precisely quantify the properties of coupled quantum systems.

Purpose of the Study:

  • To present an efficient algorithm for characterizing two coupled discrete quantum systems.
  • To achieve high-precision estimation of coupling strength (g) and transition frequencies (ωr).
  • To demonstrate an algorithm robust against noise and relaxation, applicable to superconducting qubits.

Main Methods:

  • An adaptive measurement strategy that adjusts settings based on collected data.
  • Simultaneous estimation of coupling strength and transition frequencies.
  • A method for eliminating erroneous estimates with minimal computational overhead.

Main Results:

  • Error in estimating g and ωr decreases exponentially with the number of measurement shots, surpassing power-law scaling.
  • Simultaneous high-precision identification of g and ωr achieved in a few hundred measurement shots.
  • Algorithm demonstrated robustness against relaxation and typical noise.

Conclusions:

  • The developed method offers a significant improvement in the efficiency and precision of quantum system characterization.
  • This technique is broadly applicable to various quantum computing platforms, including superconducting qubits and resonators.
  • The adaptive and robust nature of the algorithm facilitates rapid and reliable quantum device calibration.