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Variational quantum metrology for multiparameter estimation under dephasing noise.

Trung Kien Le1,2, Hung Q Nguyen3, Le Bin Ho4,5

  • 1Department of Physics, University of California, Santa Barbara, Santa Barbara, USA.

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This study introduces a hybrid quantum-classical method to boost precision in quantum metrology. The technique optimizes quantum initial states and measurement bases, enhancing information gain for applications like 3D magnetic field sensing.

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Area of Science:

  • Quantum Physics
  • Metrology
  • Quantum Information Science

Background:

  • Quantum metrology offers enhanced precision over classical methods.
  • Parameter estimation in quantum systems is crucial for measurement accuracy.
  • Dephasing noise poses a significant challenge to quantum measurement precision.

Purpose of the Study:

  • To develop a hybrid quantum-classical variational scheme for enhanced precision in quantum metrology.
  • To optimize quantum initial states and measurement bases for maximal information gain.
  • To apply and demonstrate the scheme for 3D magnetic field sensing.

Main Methods:

  • A hybrid quantum-classical variational algorithm was designed.
  • The quantum component involves parameterized initial states and measurement bases.
  • The classical component optimizes these parameters to maximize Fisher information.
  • The scheme was tested under various dephasing noise models.

Main Results:

  • The hybrid scheme successfully enhances precision in quantum metrology.
  • It enables simultaneous estimation of multiple parameters in 3D magnetic field sensing.
  • The method surpasses the standard quantum limit.
  • Robustness against dephasing noise was demonstrated.

Conclusions:

  • The proposed hybrid quantum-classical scheme is a powerful tool for advanced metrological applications.
  • It offers a pathway to overcome noise limitations and achieve higher measurement precision.
  • The approach is versatile and applicable to various quantum sensing challenges.