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SU(3) quantum interferometry with single-photon input pulses.

Si-Hui Tan1, Yvonne Y Gao2, Hubert de Guise3

  • 1Data Storage Institute, 5 Engineering Drive 1, Singapore, Singapore 117608.

Physical Review Letters
|August 29, 2014
PubMed
Summary
This summary is machine-generated.

We introduce a framework using SU(3) group theory to analyze passive optical interferometers with single-photon inputs. This method reveals information about permanents, immanants, and determinants from photon coincidence data.

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Area of Science:

  • Quantum optics
  • Quantum information science
  • Group theory applications

Background:

  • Passive optical interferometers are crucial for quantum information processing.
  • Analyzing multi-photon interference requires advanced theoretical frameworks.
  • Single-photon experiments offer high sensitivity for probing quantum phenomena.

Purpose of the Study:

  • To develop a group-theoretic framework for analyzing three-channel passive optical interferometers.
  • To connect interferometer action on single-photon states to mathematical concepts like permanents, immanants, and determinants.
  • To establish a method applicable to higher-order photon-coincidence experiments.

Main Methods:

  • Application of SU(3) group-theoretic methods to model the interferometer's action.
  • Analysis of single-photon pulse inputs to each interferometer channel.
  • Examination of photon coincidence plots as a function of relative time delays.

Main Results:

  • A framework for solving the action of a three-channel passive optical interferometer was developed.
  • Features in coincidence plots directly correlate with permanents, immanants, and determinants of the SU(3) matrix.
  • The approach is generalizable to more complex photon-coincidence experiments.

Conclusions:

  • SU(3) group theory provides a powerful tool for understanding multi-channel optical interferometers.
  • Photon coincidence measurements can experimentally probe fundamental matrix properties.
  • The developed framework enhances capabilities for quantum optical experiments.