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Quantum Fisher Information from Randomized Measurements.

Aniket Rath1, Cyril Branciard2, Anna Minguzzi1

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Researchers developed a new method to estimate quantum Fisher information (QFI) using randomized measurements. This technique provides lower bounds for QFI, useful for detecting entanglement in quantum systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Physics
  • Quantum Metrology

Background:

  • Quantum Fisher Information (QFI) is crucial for quantum metrology and quantum information theory.
  • QFI serves as a witness for multiparticle entanglement in quantum many-body systems.

Purpose of the Study:

  • To develop a protocol for accurately estimating lower bounds of QFI.
  • To assess the number of measurements required for specific accuracy and confidence levels.

Main Methods:

  • Constructing monotonically increasing lower bounds for QFI using polynomials of the density matrix.
  • Employing randomized measurements for estimation on quantum platforms.
  • Analyzing measurement requirements for desired accuracy and confidence.

Main Results:

  • A protocol for estimating QFI lower bounds was proposed.
  • The number of measurements needed for a given accuracy and confidence was estimated.
  • The method was demonstrated on coupled qubits and collective spin systems.

Conclusions:

  • The proposed method offers a practical approach to estimate QFI lower bounds.
  • This technique is valuable for quantifying entanglement in complex quantum systems.
  • The findings have implications for advancements in quantum metrology and information processing.