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Stable and High-Precision 3D Positioning via Tunable Composite-Dimensional Hong-Ou-Mandel Interference.

Yongqiang Li1,2,3, Hongfeng Liu4, Dawei Lu4

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We developed a stable 3D quantum positioning system using Hong-Ou-Mandel (HOM) interference. This method offers high precision and reliability for 3D spatial resolution, even with few photons.

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Area of Science:

  • Quantum Metrology
  • Quantum Information Science
  • Optical Physics

Background:

  • Previous quantum positioning schemes were limited to 1D.
  • Real-world applications demand full 3D spatial resolution.
  • Hong-Ou-Mandel (HOM) interference is a key quantum phenomenon.

Purpose of the Study:

  • To generalize Hong-Ou-Mandel (HOM) interference for stable and high-precision 3D quantum positioning.
  • To achieve ultimate sensitivity defined by the quantum Cramér-Rao bound.
  • To stabilize estimation accuracy independent of estimated parameters.

Main Methods:

  • Utilizing Hong-Ou-Mandel (HOM) interference for quantum positioning.
  • Implementing simple polarization tuning to stabilize estimation accuracy.
  • Theoretical analysis and numerical simulations to validate the scheme.

Main Results:

  • Achieved stable and high-precision 3D quantum positioning.
  • Demonstrated ultimate sensitivity under ideal conditions.
  • Showcased reliable 3D positioning with limited photons and stable Fisher information.

Conclusions:

  • The proposed scheme successfully generalizes HOM positioning to 3D.
  • The method offers ultraprecise and reliable 3D positioning capabilities.
  • This technique is robust even with a limited number of detected photons.