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Optimal Generators for Quantum Sensing.

Jarrod T Reilly1, John Drew Wilson1, Simon B Jäger2

  • 1JILA, NIST, and Department of Physics, University of Colorado, 440 UCB, Boulder, Colorado 80309, USA.

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|October 28, 2023
PubMed
Summary
This summary is machine-generated.

We developed a computationally efficient method to find the optimal quantum evolution for sensing. This approach maximizes sensitivity using any quantum state, even in complex systems beyond standard squeezing.

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Area of Science:

  • Quantum Information Science
  • Quantum Metrology

Background:

  • Quantum states can enhance measurement sensitivity.
  • Standard methods like squeezing have limitations in complex systems.

Purpose of the Study:

  • To derive the optimal unitary evolution for maximizing quantum state sensitivity.
  • To provide a method applicable to any quantum sensor and entangled state.

Main Methods:

  • Computationally efficient derivation of optimal unitary evolution.
  • Analysis of the quantum Fisher information matrix (QFIM).

Main Results:

  • Maximal sensitivity is determined by the largest eigenvalue of the QFIM.
  • Optimal evolution is given by the corresponding eigenvector.
  • The method optimizes multiparameter estimation.

Conclusions:

  • The proposed method efficiently determines optimal quantum sensing strategies.
  • It generalizes beyond canonical squeezing, applicable to diverse quantum sensors.
  • It naturally optimizes multiparameter estimation via QFIM eigenvectors.