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Optimal Gain Sensing of Quantum-Limited Phase-Insensitive Amplifiers.

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Researchers determined the quantum limits for precisely measuring the gain of phase-insensitive optical amplifiers. Both photon number and input modes are interchangeable resources for optimal gain sensing, showing quantum advantage even with limited probes.

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Area of Science:

  • Quantum optics
  • Quantum information science
  • Optical amplifier metrology

Background:

  • Phase-insensitive optical amplifiers are crucial for quantum technologies.
  • Precisely estimating amplifier gain is essential for quantum sensing and information processing.

Purpose of the Study:

  • To determine the quantum limit on gain estimation precision for quantum-limited phase-insensitive amplifiers.
  • To investigate the role of probe properties (photon number, modes) and entanglement in optimal gain sensing.

Main Methods:

  • Utilized a multimode probe, potentially entangled with an ancilla system.
  • Analyzed quantum-optimal pure-state probes diagonal in the number basis.
  • Compared quantum probe performance with classical probes using photon-counting estimators.

Main Results:

  • Photon number (N) and number of modes (M) are equivalent and interchangeable resources for optimal gain sensing.
  • Identified a class of quantum-optimal probes for gain estimation.
  • Demonstrated a quantum advantage for gain sensing, even with single-photon probes and inefficient detection.

Conclusions:

  • The study establishes fundamental limits for quantum amplifier gain estimation.
  • Highlights the flexibility of using photon number or modes as resources for enhanced sensing.
  • Confirms the practical utility of quantum probes in realistic, noisy detection scenarios.