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Related Concept Videos

Imaging Biological Samples with Optical Microscopy01:18

Imaging Biological Samples with Optical Microscopy

Optical microscopy uses optic principles to provide detailed images of samples. Antonie van Leeuwenhoek designed the first compound optical microscope in the 17th century to visualize blood cells, bacteria, and yeast cells. In 1830, Joseph Jackson Lister created an essentially modern light microscope. The 20th century saw the development of microscopes with enhanced magnification and resolution.
In optical microscopy, the specimen to be viewed is placed on a glass slide and clipped on the stage...

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Related Experiment Video

Updated: May 17, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Single photon quantum filtering using non-Markovian embeddings.

John E Gough1, Matthew R James, Hendra I Nurdin

  • 1Institute of Mathematics and Physics, Aberystwyth University, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 24, 2012
PubMed
Summary
This summary is machine-generated.

We developed quantum master and filter equations for continuous measurement of non-classical states, like single photons. These quantum filters are derived from larger non-Markovian systems using coupled stochastic differential equations.

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Last Updated: May 17, 2026

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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum Optics
  • Quantum Information Theory
  • Quantum Systems

Background:

  • Continuous measurement is crucial for quantum information processing.
  • Understanding quantum systems interacting with non-classical light states is essential.
  • Non-Markovian dynamics present challenges in quantum system analysis.

Purpose of the Study:

  • To derive quantum master and filter equations for systems undergoing continuous measurement.
  • To analyze systems coupled to non-classical continuous-mode states, specifically single photon states.
  • To explore the relationship between quantum filters and non-Markovian system embeddings.

Main Methods:

  • Formulation of quantum master equations for continuous measurement.
  • Derivation of quantum filter equations.
  • Embedding the system into a larger non-Markovian framework.
  • Utilizing coupled stochastic differential equations.

Main Results:

  • Quantum master and filter equations were determined for continuous measurement of systems in single photon states.
  • Quantum filters were shown to be derivable from embedding into larger non-Markovian systems.
  • The derived quantum filters are represented by coupled stochastic differential equations.

Conclusions:

  • The study provides a framework for analyzing quantum systems under continuous measurement of non-classical states.
  • The connection between quantum filters and non-Markovian embeddings is established.
  • The results offer a method for describing quantum dynamics using stochastic differential equations.