Concept 32 of 42 · Quantum-Enhanced Measurement

Homodyne and heterodyne readout

A phase-referenced local oscillator converts optical field quadratures into electrical signals.

01 / Mathematical framework
$$X_\theta=(ae^{-i\theta}+a^\dagger e^{i\theta})/2$$

Physical intuition

A phase-referenced local oscillator converts optical field quadratures into electrical signals.

Deep dive: physical mechanism

Homodyne accesses one quadrature; heterodyne estimates both with additional measurement noise.

What is measured experimentally?

Quadrature histograms reveal displacement and squeezing.

Assumptions, noise and limitations

Mode matching and detector inefficiency affect calibration.

Research and simulation exercise

Reconstruct a Gaussian optical state from synthetic quadrature samples.

Connect the ideas

Explore the chapter overview, learning path, and references.

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