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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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Frame change technique for phase transient cancellation.

Andrew Stasiuk1, Pai Peng2, Garrett Heller3

  • 1Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA; Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|April 28, 2024
PubMed
Summary
This summary is machine-generated.

We developed a "frame-change technique" to correct phase transient control errors in quantum systems. This method improves quantum simulation accuracy without adding control overhead.

Keywords:
FluorapatiteHigh-fidelity controlNuclear magnetic resonancePulse error cancellationSolid-state NMR

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Area of Science:

  • Quantum Mechanics
  • Quantum Control
  • Solid-State NMR

Background:

  • Precise control of quantum systems is crucial for quantum simulation and computation.
  • Floquet Hamiltonian engineering uses fast switching between Hamiltonians to control systems.
  • Short interpulse delays in Floquet engineering minimize heating errors but necessitate high-power pulses.

Purpose of the Study:

  • To diagnose, calibrate, and correct phase transient control errors in quantum mechanical systems.
  • To demonstrate the efficacy of the
  • frame-change technique
  • for error correction.
  • To recommend a practical method for improving quantum control fidelity.

Main Methods:

  • Modulating the natural Hamiltonian with control pulses in a solid-state NMR system.
  • Implementing the
  • frame-change technique
  • to correct phase transient errors for π/2-pulses.
  • Experimental validation across various settings to demonstrate error correction improvements.

Main Results:

  • Successfully diagnosed and calibrated phase transient control errors.
  • Demonstrated significant improvements in experimental settings by applying the
  • frame-change technique
  • .
  • The correction method introduces no additional control overhead.

Conclusions:

  • Phase transient control errors are an inherent issue with high-power, short-duration pulses used in Floquet engineering.
  • The
  • frame-change technique
  • effectively corrects these errors for arbitrary phase π/2-pulses.
  • This technique offers a valuable, overhead-free method to enhance the fidelity of quantum control and simulation.