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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Fundamental noisy multiparameter quantum bounds.

Shibdas Roy1

  • 1Department of Physics, University of Warwick, Coventry, CV4 7AL, United Kingdom. roy_shibdas@yahoo.co.in.

Scientific Reports
|February 2, 2019
PubMed
Summary
This summary is machine-generated.

Noise can enhance quantum multiparameter estimation precision, enabling Heisenberg scaling (1/N) and even super-Heisenberg scaling (1/N^2) with optimal noise. However, excessive noise degrades performance, limiting scaling to 1/N^2.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Metrology

Background:

  • Quantum multiparameter estimation offers enhanced precision over individual parameter estimation.
  • Understanding noise's impact on quantum estimation limits is crucial for practical applications.

Purpose of the Study:

  • To determine fundamental quantum limits for multiparameter estimation precision under noisy conditions.
  • To investigate how noise in probe states and quantum channels affects estimation bounds.

Main Methods:

  • Derivation of lower bounds for estimation error covariance in noisy systems.
  • Analysis of noisy initial probe states and noisy quantum channels.
  • Identification of conditions and measurements to achieve precision limits.

Main Results:

  • Heisenberg precision scaling (1/N) is achievable even with noise.
  • Certain noise levels can improve achievable scaling, surpassing noiseless scenarios.
  • Super-Heisenberg scaling (1/N^2) is demonstrated with optimal channel noise.
  • Noise can enable scaling (1/N^(2γ)) using fewer resources than noiseless systems.

Conclusions:

  • Noise is not always detrimental and can be leveraged to enhance quantum estimation precision.
  • Optimal noise management is key to achieving Heisenberg and super-Heisenberg scaling.
  • This work provides a framework for understanding and optimizing quantum multiparameter estimation in realistic noisy environments.