
Abstract 
1 
Introduction 
2 
Interferometry for GW Detectors: Classical
Theory 

2.1 
Interferometer as a weak force probe 

2.2 
From incident wave to
outgoing light: light transformation in the GW interferometers 

2.3 
Basics
of Detection: Heterodyne and homodyne readout techniques 
3 
Quantum
Nature of Light and Quantum Noise 

3.1 
Quantization of light: Twophoton
formalism 

3.2 
Quantum states of light 

3.3 
How to calculate spectral densities
of quantum noise in linear optical measurement? 
4 
Linear Quantum
Measurement 

4.1 
Quantum measurement of a classical force 

4.2 
General
linear measurement 

4.3 
Standard Quantum Limit 

4.4 
Beating the SQL by
means of noise cancellation 

4.5 
Quantum speed meter 
5 
Quantum Noise in
Conventional GW Interferometers 

5.1 
Movable mirror 

5.2 
Fabry–Pérot
cavity 

5.3 
Fabry–Pérot–Michelson interferometer 
6 
Schemes of GW
Interferometers with SubSQL Sensitivity 

6.1 
Noise cancellation by means
of crosscorrelation 

6.2 
Quantum speed meter 

6.3 
Optical rigidity 
7 
Conclusion
and Future Directions 
8 
Acknowledgements 
A 
Appendices 

A.1 
Input/Output
relations derivation for a Fabry–Pérot cavity 

A.2 
Proof of Eq. (376),
(377) and (378) 

A.3 
SNR in secondorder pole regime 

References 

Footnotes 

Figures 

Tables 