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Optimal Robust Quantum Control by Inverse Geometric Optimization.

Ghassen Dridi1,2, Kaipeng Liu3, Stéphane Guérin3

  • 1Institut Supérieur des Sciences Appliquées et de Technologies de Gafsa, Université de Gafsa, Campus Universitaire Sidi Ahmed Zarroug, Gafsa 2112, Tunisia.

Physical Review Letters
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Summary
This summary is machine-generated.

We present a robust inverse optimization (RIO) method for designing optimal quantum control fields. This technique ensures precise population transfer and quantum gates, even with pulse imperfections.

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Area of Science:

  • Quantum mechanics
  • Optimal control theory
  • Geometric optimization

Background:

  • Quantum control aims to steer quantum systems using external fields.
  • Designing robust controls against imperfections is a significant challenge.
  • Existing methods may lack robustness or exact solvability.

Purpose of the Study:

  • To develop a novel inverse geometric optimization technique for quantum control.
  • To derive optimal and robust exact solutions for low-dimension quantum control problems.
  • To design control fields resilient to pulse inhomogeneities.

Main Methods:

  • Utilizing Euler-Lagrange optimization in the dynamical variable space to find optimal trajectories.
  • Deriving control fields from robust geodesics and inverted dynamical equations.
  • Applying the robust inverse optimization (RIO) method.

Main Results:

  • Successfully designed optimal control fields for complete/half population transfer.
  • Developed a robust quantum gate design.
  • Demonstrated robustness against pulse inhomogeneities.
  • RIO method proved versatile for various quantum control applications.

Conclusions:

  • The robust inverse optimization (RIO) technique provides optimal and robust solutions for quantum control.
  • This method enables precise quantum operations despite external field imperfections.
  • RIO is applicable to a wide range of quantum control challenges, including gate design and error suppression.